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Quantitative invertibility of non-Hermitian random matrices. (English) Zbl 1540.60013

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 3292-3313 (2023).

Reviewer: Thomas Buc-d’Alché (Lyon)

MSC: 60B20 65F05 15A18

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Higham, Nicholas J.

Numerical stability of algorithms at extreme scale and low precisions. (English) Zbl 1535.65060

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5098-5117 (2023).

MSC: 65G50 65F05

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Gentle, James E.

Matrix algebra. Theory, computations and applications in statistics. 3rd edition. (English) Zbl 1534.15001

Springer Texts in Statistics. Cham: Springer (ISBN 978-3-031-42143-3/hbk; 978-3-031-51645-0/pbk; 978-3-031-42144-0/ebook). xxxii, 693 p. (2023).

MSC: 15-01 62-01 65-01

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Mondal, Anirban; Yin, Kai; Mandal, Abhijit

A two-stage adaptive Metropolis algorithm. (English) Zbl 07739596

J. Stat. Comput. Simulation 93, No. 7, 1130-1150 (2023).

MSC: 62-XX

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Zouraris, Georgios E.

Error estimation of the relaxation finite difference scheme for the nonlinear Schrödinger equation. (English) Zbl 1529.65022

SIAM J. Numer. Anal. 61, No. 1, 365-397 (2023).

MSC: 65M06 65N06 65M12 65M15 35Q55 35Q41

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Higham, Nicholas J.; Mary, Theo

Mixed precision algorithms in numerical linear algebra. (English) Zbl 1512.65081

Acta Numerica 31, 347-414 (2022).

MSC: 65G50 65Y04 65F05 65F10

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Garcia, R. D. M.

Analytical discrete-ordinates solutions for improved 1D models of particle transport in ducts with wall migration. (English) Zbl 07629006

J. Comput. Theor. Transp. 51, No. 5, 265-304 (2022).

MSC: 82-XX

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Heinemann, Florian; Munk, Axel; Zemel, Yoav

Randomized Wasserstein barycenter computation: resampling with statistical guarantees. (English) Zbl 1493.62010

SIAM J. Math. Data Sci. 4, No. 1, 229-259 (2022).

MSC: 62-08 62G09 62P10 90C08

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Scherer, C. S.

A discrete-ordinates solution for the strong evaporation problem in rarefied gas dynamics. (English) Zbl 1538.82035

Trends Comput. Appl. Math. 22, No. 2, 201-220 (2021).

MSC: 82C40 35Q20 76P05

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Cao, Zhiqiang; Wong, Man Yu

Approximate maximum likelihood estimation for logistic regression with covariate measurement error. (English) Zbl 1523.62097

Biom. J. 63, No. 1, 27-45 (2021).

MSC: 62P10

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Garcia, R. D. M.

Accurate spherical harmonics solutions for neutron transport problems in multi-region spherical geometry. (English) Zbl 07508461

J. Comput. Phys. 424, Article ID 109856, 19 p. (2021).

MSC: 82-XX 35-XX

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Abdelfattah, Ahmad; Costa, Timothy; Dongarra, Jack; Gates, Mark; Haidar, Azzam; Hammarling, Sven; Higham, Nicholas J.; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Zounon, Mawussi

A set of batched basic linear algebra subprograms and LAPACK routines. (English) Zbl 07467952

ACM Trans. Math. Softw. 47, No. 3, Article No. 21, 23 p. (2021).

MSC: 65-XX

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Drmač, Zlatko

Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices. (English) Zbl 1476.65052

S\(\vec{\text{e}}\)MA J. 78, No. 1, 53-92 (2021).

MSC: 65F15

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Zouraris, Georgios E.

Error estimation of the Besse relaxation scheme for a semilinear heat equation. (English) Zbl 1491.65080

ESAIM, Math. Model. Numer. Anal. 55, No. 1, 301-328 (2021).

MSC: 65M06 65N06 65M12 65M15 35K05

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Riis, Nicolai André Brogaard; Dong, Yiqiu; Hansen, Per Christian

Computed tomography reconstruction with uncertain view angles by iteratively updated model discrepancy. (English) Zbl 1524.94029

J. Math. Imaging Vis. 63, No. 2, 133-143 (2021).

MSC: 94A08 65K10 92C55

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Fasi, Massimiliano; Higham, Nicholas J.

Matrices with tunable infinity-norm condition number and no need for pivoting in LU factorization. (English) Zbl 1467.65035

SIAM J. Matrix Anal. Appl. 42, No. 1, 417-435 (2021).

MSC: 65F35 65Y05

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Hokpunna, Arpiruk; Misaka, Takashi; Obayashi, Shigeru; Wongwises, Somchai; Manhart, Michael

Finite surface discretization for incompressible Navier-Stokes equations and coupled conservation laws. (English) Zbl 07508409

J. Comput. Phys. 423, Article ID 109790, 35 p. (2020).

MSC: 76-XX 80-XX

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Mencarelli, Luca; D’Ambrosio, Claudia

Complex portfolio selection via convex mixed-integer quadratic programming: a survey. (English) Zbl 07770931

Int. Trans. Oper. Res. 26, No. 2, 389-414 (2019).

MSC: 90-XX

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Wu, Rongteng; Xie, Xiaohong

A heterogeneous parallel LU factorization algorithm based on a basic column block uniform allocation strategy. (English) Zbl 1435.65047

Math. Probl. Eng. 2019, Article ID 3720450, 12 p. (2019).

MSC: 65F05 65Y05 68W10

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Jing, Gangshan; Zhang, Guofeng; Lee, Heung Wing Joseph; Wang, Long

Angle-based shape determination theory of planar graphs with application to formation stabilization. (English) Zbl 1429.93022

Automatica 105, 117-129 (2019).

MSC: 93A16 93D05

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Avron, Haim; Druinsky, Alex; Toledo, Sivan

Spectral condition-number estimation of large sparse matrices. (English) Zbl 1449.65097

Numer. Linear Algebra Appl. 26, No. 3, e2235, 19 p. (2019).

MSC: 65F50 65F10 15A12 65F35

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Bernal, Francisco

An implementation of Milstein’s method for general bounded diffusions. (English) Zbl 1417.60062

J. Sci. Comput. 79, No. 2, 867-890 (2019).

MSC: 60H35 65C30 65C05

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Chen, Jian; Takeyama, Tomohide; O-Tani, Hideyuki; Fujita, Kohei; Motoyama, Hiroki; Hori, Muneo

Using high performance computing for liquefaction hazard assessment with statistical soil models. (English) Zbl 07074132

Int. J. Comput. Methods 16, No. 5, Article ID 1840005, 21 p. (2019).

MSC: 86-XX 68-XX

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Lang, Bruno

Efficient reduction of banded Hermitian positive definite generalized eigenvalue problems to banded standard eigenvalue problems. (English) Zbl 1455.65055

SIAM J. Sci. Comput. 41, No. 1, C52-C72 (2019).

Reviewer: Wei-Ru Xu (Chengdu)

MSC: 65F15 65-04

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Lambers, James V.; Sumner, Amber C.

Explorations in numerical analysis. (English) Zbl 1398.65002

Hackensack, NJ: World Scientific (ISBN 978-981-3209-96-1/hbk; 978-981-3209-97-8/pbk). xv, 658 p. (2019).

MSC: 65-01 00A06

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Eddelbuettel, Dirk; Balamuta, James Joseph

Extending \(R\) with C++: a brief introduction to Rcpp. (English) Zbl 07663915

Am. Stat. 72, No. 1, 28-36 (2018).

MSC: 62-XX

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Garcia, R. D. M.

On the \(P_\text{N}\) method in spherical geometry: a stable solution for the exterior of a sphere. (English) Zbl 07472834

J. Comput. Theor. Transp. 47, No. 4-6, 400-423 (2018).

MSC: 82-XX

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Feng, Yuehua; Xiao, Jianwei; Gu, Ming

Randomized complete pivoting for solving symmetric indefinite linear systems. (English) Zbl 1404.65013

SIAM J. Matrix Anal. Appl. 39, No. 4, 1616-1641 (2018).

MSC: 65F05 15A06 15A23

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Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro

The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. (English) Zbl 1410.65114

SIAM Rev. 60, No. 4, 808-865 (2018).

Reviewer: Wei-Ru Xu (Chengdu)

MSC: 65F15 65Y15 15A18 15A23 65Y05

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Gustafsson, Bertil

Scientific computing. A historical perspective. (English) Zbl 1447.65002

Texts in Computational Science and Engineering 17. Cham: Springer (ISBN 978-3-319-69846-5/hbk; 978-3-319-69847-2/ebook). xiii, 253 p. (2018).

Reviewer: Adhemar Bultheel (Leuven)

MSC: 65-01 65-03 01A55 01A60

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Conte, S. D.; de Boor, Carl

Elementary numerical analysis. An algorithmic approach. Updated with MATLAB. Reprint of the third edition 1980. (English) Zbl 1392.65002

Classics in Applied Mathematics 78. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-519-2/pbk; 978-1-61197-520-8/ebook). xxiv, 456 p. (2018).

Reviewer: Adhemar Bultheel (Leuven)

MSC: 65-01 65G50 65Dxx 41A05 41A15 41A55 65Hxx 65F05 65F10 65F15 65L05 65L10 65L20 65-04

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Bertaccini, Daniele; Durastante, Fabio

Iterative methods and preconditioning for large and sparse linear systems with applications. (English) Zbl 1386.65001

Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4987-6416-2/hbk; 978-1-315-15357-5/ebook). xix, 353 p. (2018).

Reviewer: Constantin Popa (Constanţa)

MSC: 65-01 65F10 65F30 65F08

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Alvarez, Amaury C.; García, Galina C.; Sarkis, Marcus

The ultra weak variational formulation for the modified mild-slope equation. (English) Zbl 1480.65326

Appl. Math. Modelling 52, 28-41 (2017).

MSC: 65N30 86A05

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Anderson, Edward

Algorithm 978: Safe scaling in the level 1 BLAS. (English) Zbl 1484.65101

ACM Trans. Math. Softw. 44, No. 1, Article No. 12, 28 p. (2017).

MSC: 65G50 65B10

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Van Zee, Field G.; Smith, Tyler M.

Implementing high-performance complex matrix multiplication via the 3m and 4m methods. (English) Zbl 1484.65093

ACM Trans. Math. Softw. 44, No. 1, Article No. 7, 36 p. (2017).

MSC: 65F99

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Liang, Hui; Chen, Xiaobo

A new multi-domain method based on an analytical control surface for linear and second-order mean drift wave loads on floating bodies. (English) Zbl 1380.76103

J. Comput. Phys. 347, 506-532 (2017).

MSC: 76M25 76M15

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Gentle, James E.

Matrix algebra. Theory, computations and applications in statistics. 2nd edition. (English) Zbl 1386.15002

Springer Texts in Statistics. Cham: Springer (ISBN 978-3-319-64866-8/pbk; 978-3-319-64867-5/ebook). xxix, 648 p. (2017).

Reviewer: Frank Uhlig (Auburn)

MSC: 15-01 62-01 65-01

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Chen, Cheng; Fang, Jianbin; Tang, Tao; Yang, Canqun

LU factorization on heterogeneous systems: an energy-efficient approach towards high performance. (English) Zbl 1372.65091

Computing 99, No. 8, 791-811 (2017).

MSC: 65F05 15A23 65Y05 65Y10 65Y20

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Wang, Wei-Guo; Wei, Yimin

Mixed and componentwise condition numbers for matrix decompositions. (English) Zbl 1375.65048

Theor. Comput. Sci. 681, 199-216 (2017).

MSC: 65F05 15A23 65F35

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Dunning, Iain; Huchette, Joey; Lubin, Miles

JuMP: a modeling language for mathematical optimization. (English) Zbl 1368.90002

SIAM Rev. 59, No. 2, 295-320 (2017).

MSC: 90-04 90C05 90C06 90C30 65D25

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Echebest, N.; Schuverdt, M. L.; Vignau, R. P.

An inexact restoration derivative-free filter method for nonlinear programming. (English) Zbl 1359.65092

Comput. Appl. Math. 36, No. 1, 693-718 (2017).

MSC: 65K05 90C30 90C56

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Garcia, R. D. M.

Analytical discrete-ordinates solution for 3D particle transport in ducts as described by a 1D model with three basis functions. (English) Zbl 07503221

J. Comput. Theor. Transp. 45, No. 5, 335-350 (2016).

MSC: 82-XX

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Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol

A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. (English) Zbl 1360.86004

Arch. Comput. Methods Eng. 23, No. 4, 673-722 (2016).

MSC: 86-08 86A10 76M10 65M60

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Chen, Yuxin; Keyes, David; Law, Kody J. H.; Ltaief, Hatem

Accelerated dimension-independent adaptive metropolis. (English) Zbl 1352.65029

SIAM J. Sci. Comput. 38, No. 5, S539-S565 (2016).

MSC: 65C60 62F15 65C05 65C40 60J22 65Y20 65Y05

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Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A.

Linear algebra software for large-scale accelerated multicore computing. (English) Zbl 1353.65019

Acta Numerica 25, 1-160 (2016).

Reviewer: Raffaella Pavani (Milano)

MSC: 65F05 65Y15 65F15 65F20 65F50

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Xue, Dingyü; Chen, YangQuan

Scientific computing with MATLAB. 2nd edition. (English) Zbl 1344.65001

Boca Raton, FL: CRC Press (ISBN 978-1-4987-5777-5/hbk; 978-0-367-78313-6/pbk; 978-1-315-36785-9/ebook). xvii, 586 p. (2016).

Reviewer: Rolf Dieter Grigorieff (Berlin)

MSC: 65-01 00A06 68-04 68N15 68W30 65Mxx 65Nxx 65Fxx 65R10 65E05 65H05 65K05 65Lxx 65Dxx 65Cxx 65T60

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Peretti Pezzi, Guilherme; Vaissié, Evelyne; Viala, Yann; Caromel, Denis; Gourbesville, Philippe

Parallel profiling of water distribution networks using the Clément formula. (English) Zbl 1410.86011

Appl. Math. Comput. 267, 83-95 (2015).

MSC: 86A05 65Y15 68M10 86-08

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Park, Sungwoo; O’Leary, Dianne P.

A polynomial time constraint-reduced algorithm for semidefinite optimization problems. (English) Zbl 1329.90104

J. Optim. Theory Appl. 166, No. 2, 558-571 (2015).

MSC: 90C22 65K05 90C51

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Scherer, C. S.

An analytical approach to the strong evaporation problem in rarefied gas dynamics. (English) Zbl 1327.76125

Z. Angew. Math. Phys. 66, No. 4, 1821-1833 (2015).

MSC: 76P05 76M22 65N25

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Blesgen, Thomas

On rotation deformation zones for finite-strain Cosserat plasticity. (English) Zbl 1325.74030

Acta Mech. 226, No. 7, 2421-2434 (2015).

MSC: 74C15

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Grewal, Mohinder S.; Andrews, Angus P.

Kalman filtering. Theory and practice with MATLAB. 4th ed. (English) Zbl 1322.93001

Hoboken, NJ: John Wiley & Sons (ISBN 978-1-118-85121-0/hbk; 978-1-118-98498-7/ebook). xvii, 617 p. (2015).

Reviewer: Mikhail P. Moklyachuk (Kyïv)

MSC: 93-02 93E03 93E10 93E11 60G35 62M20 94A12

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Garcia, R. D. M.

Improvements in the ADO method for a one-dimensional model of neutral particle transport in ducts. (English) Zbl 07500141

J. Comput. Theor. Transp. 43, No. 1-7, 68-82 (2014).

MSC: 82-XX

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Ballard, G.; Carson, E.; Demmel, J.; Hoemmen, M.; Knight, N.; Schwartz, O.

Communication lower bounds and optimal algorithms for numerical linear algebra. (English) Zbl 1396.65082

Acta Numerica 23, 1-155 (2014).

MSC: 65Fxx 65Y20 65-02

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Castaño, Fabian; Rossi, André; Sevaux, Marc; Velasco, Nubia

A column generation approach to extend lifetime in wireless sensor networks with coverage and connectivity constraints. (English) Zbl 1348.90170

Comput. Oper. Res. 52, Part B, 220-230 (2014).

MSC: 90B18 05C82 90C59

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Thomas, Barrett W.; Manni, Emanuele

Scheduled penalty variable neighborhood search. (English) Zbl 1348.90647

Comput. Oper. Res. 52, Part B, 170-180 (2014).

MSC: 90C59 90C27

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D’Azevedo, Eduardo; Hu, Zhiang; Su, Shi-Quan; Wong, Kwai

Solving a large scale radiosity problem on GPU-based parallel computers. (English) Zbl 1336.65025

J. Comput. Appl. Math. 270, 109-120 (2014).

MSC: 65F05 65M22 65Y05 65Y10

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Bosner, Nela

Balancing three matrices in control theory. (English) Zbl 1309.65073

Math. Commun. 19, No. 3, 497-516 (2014).

MSC: 65K10 93C15 93B05 93B52

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Capiez-Lernout, E.; Soize, C.; Mignolet, M.-P.

Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation. (English) Zbl 1296.74042

Comput. Methods Appl. Mech. Eng. 271, 210-230 (2014).

MSC: 74H60 74-05 74G60 74H50 74K25

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Sewell, Granville

Computational methods of linear algebra. 3rd ed. (English) Zbl 1302.65068

Hackensack, NJ: World Scientific (ISBN 978-981-4603-85-0/hbk; 978-981-4603-86-7/ebook). x, 318 p. (2014).

Reviewer: Constantin Popa (Constanţa)

MSC: 65Fxx 65-01 65K05 65Y05 90C05 65D07 65T50 65D05 65G50 65D10

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Weihs, Claus; Mersmann, Olaf; Ligges, Uwe

Foundations of statistical algorithms. With references to R packages. (English) Zbl 1296.62010

Chapman & Hall/CRC Computer Science & Data Analysis Series. Boca Raton, FL: CRC Press (ISBN 978-1-4398-7885-9/hbk; 978-1-4398-7887-3/ebook). xxv, 473 p. (2014).

Reviewer: Ivan Křivý (Ostrava)

MSC: 62-01 62-04 65-01 65C60 68-01

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Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto; Gervasio, Paola

Numerical mathematics. 4th ed. (Matematica numerica.) (Italian) Zbl 1293.65001

Unitext 77. La Matematica per il 3+2. Milan: Springer (ISBN 978-88-470-5643-5/pbk; 978-88-470-5644-2/ebook). xvii, 529 p. (2014).

Reviewer: Raffaella Pavani (Milano)

MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx

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Schäfer, Christian; Chopin, Nicolas

Sequential Monte Carlo on large binary sampling spaces. (English) Zbl 1322.62035

Stat. Comput. 23, No. 2, 163-184 (2013).

MSC: 62-07 62F15 62D05 65C05 65C60

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Villegas, Juan G.; Prins, Christian; Prodhon, Caroline; Medaglia, Andrés L.; Velasco, Nubia

A matheuristic for the truck and trailer routing problem. (English) Zbl 1317.90057

Eur. J. Oper. Res. 230, No. 2, 231-244 (2013).

MSC: 90B06 90C59

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Leon, Steven J.; Björck, Åke; Gander, Walter

Gram-Schmidt orthogonalization: 100 years and more. (English) Zbl 1313.65086

Numer. Linear Algebra Appl. 20, No. 3, 492-532 (2013).

MSC: 65F25 65-02 65-03 65F10

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Gijsberts, Arjan; Metta, Giorgio

Real-time model learning using incremental sparse spectrum Gaussian process regression. (English) Zbl 1296.68127

Neural Netw. 41, 59-69 (2013).

MSC: 68T05 68T40

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Gu, Chong

Smoothing spline ANOVA models. 2nd ed. (English) Zbl 1269.62040

Springer Series in Statistics 297. New York, NY: Springer (ISBN 978-1-4614-5368-0/hbk; 978-1-4614-5369-7/ebook). xviii, 433 p. (2013).

MSC: 62G08 62J10 62G07 62-02

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Pozrikidis, Constantine

XML in scientific computing. (English) Zbl 1263.68010

Chapman & Hall/CRC Numerical Analysis and Scientific Computing. Boca Raton, FL: CRC Press (ISBN 978-1-4665-1227-6/hbk). xv, 243 p. (2013).

Reviewer: Jaroslav Pokorný (Praha)

MSC: 68-02 68Pxx 68P30 65Y04 68N18

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Berger, James; Jefferys, William H.; Müller, Peter

Bayesian nonparametric shrinkage applied to Cepheid star oscillations. (English) Zbl 1330.62186

Stat. Sci. 27, No. 1, 3-10 (2012).

MSC: 62G08 62J07 62F15 85A35 62P35

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Chen, Jeng-Tzong; Lee, Jia-Wei; Leu, Shyue-Yuh

Analytical and numerical investigation for true and spurious eigensolutions of an elliptical membrane using the real-part dual BIEM/BEM. (English) Zbl 1293.74167

Meccanica 47, No. 5, 1103-1117 (2012).

MSC: 74H45 74K15 74S15

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Vihola, Matti

Robust adaptive Metropolis algorithm with coerced acceptance rate. (English) Zbl 1252.65024

Stat. Comput. 22, No. 5, 997-1008 (2012).

MSC: 65C40 60J22 62C10 65C05

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Weber, Gerhard-Wilhelm; Batmaz, İNci; Köksal, Gülser; Taylan, Pakize; Yerlikaya-Özkurt, Fatma

CMARS: A new contribution to nonparametric regression with multivariate adaptive regression splines supported by continuous optimization. (English) Zbl 1254.65020

Inverse Probl. Sci. Eng. 20, No. 3, 371-400 (2012).

MSC: 65C60 62J02 62G08 65K05 90C51 90C20

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Nehmeier, Marco

Generative programming for automatic differentiation. (English) Zbl 1251.65031

Forth, Shaun (ed.) et al., Recent advances in algorithmic differentiation. Selected papers based on the presentations at the 6th international conference on automatic differentiation (AD2012), Fort Collins, CO, USA, July 23–27, 2012. Berlin: Springer (ISBN 978-3-642-30022-6/hbk; 978-3-642-30023-3/ebook). Lecture Notes in Computational Science and Engineering 87, 261-271 (2012).

MSC: 65D25 68W30

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Auger, Anne; Bader, Johannes; Brockhoff, Dimo; Zitzler, Eckart

Hypervolume-based multiobjective optimization: theoretical foundations and practical implications. (English) Zbl 1242.90205

Theor. Comput. Sci. 425, 75-103 (2012).

MSC: 90C29 90C59

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Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold

On the low-rank approximation by the pivoted Cholesky decomposition. (English) Zbl 1244.65042

Appl. Numer. Math. 62, No. 4, 428-440 (2012).

Reviewer: R. Militaru (Craiova)

MSC: 65F05 15B48 47A10 47B07

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Bellavia, Stefania; Gondzio, Jacek; Morini, Benedetta

Computational experience with numerical methods for nonnegative least-squares problems. (English) Zbl 1249.65080

Numer. Linear Algebra Appl. 18, No. 3, 363-385 (2011).

MSC: 65F20 65F08 65K05 90C20 90C35

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Chen, Jeng Tzong; Lee, Jia Wei; Leu, Shyue Yuh

Analytical investigation for true and spurious eigensolutions of multiply-connected membranes containing elliptical boundaries using the dual BIEM. (English) Zbl 1236.74168

Int. J. Solids Struct. 48, No. 5, 729-744 (2011).

MSC: 74K15 74S15 74G10

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Grigori, Laura; Demmel, James W.; Xiang, Hua

CALU: A communication optimal LU factorization algorithm. (English) Zbl 1242.65089

SIAM J. Matrix Anal. Appl. 32, No. 4, 1317-1350 (2011).

Reviewer: Temur Jangveladze (Tbilisi)

MSC: 65F50 65F05 65Y05

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Castro, María Eugenia; Díaz, Javier; Muñoz-Caro, Camelia; Niño, Alfonso

A uniform object-oriented solution to the eigenvalue problem for real symmetric and Hermitian matrices. (English) Zbl 1221.65093

Comput. Phys. Commun. 182, No. 9, 2059-2064 (2011).

MSC: 65F15

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Saad, Yousef

Numerical methods for large eigenvalue problems. Revised ed. (English) Zbl 1242.65068

Classics in Applied Mathematics 66. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611970-72-2/pbk; 978-1-611970-73-9/ebook). xvi, 276 p. (2011).

Reviewer: Alan L. Andrew (Bundoora)

MSC: 65F15 65-02 65F50 65F08 65F10

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Liu, Qiaohua

Modified Gram-Schmidt-based methods for block downdating the Cholesky factorization. (English) Zbl 1213.65050

J. Comput. Appl. Math. 235, No. 8, 1897-1905 (2011).

Reviewer: Daniel Kressner (Lausanne)

MSC: 65F05 15B48 15B52

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Gustavson, Fred G.; Waśniewski, Jerzy; Dongarra, Jack J.; Langou, Julien

Rectangular full packed format for Cholesky’s algorithm: factorization, solution, and inversion. (English) Zbl 1364.65069

ACM Trans. Math. Softw. 37, No. 2, Article No. 18, 21 p. (2010).

MSC: 65F05 65Y15 68P05

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Hofmann, Marc; Kontoghiorghes, Erricos John

Matrix strategies for computing the least trimmed squares estimation of the general linear and SUR models. (English) Zbl 1284.62457

Comput. Stat. Data Anal. 54, No. 12, 3392-3403 (2010).

MSC: 62J12

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Vihola, Matti

Grapham: graphical models with adaptive random walk Metropolis algorithms. (English) Zbl 1284.62037

Comput. Stat. Data Anal. 54, No. 1, 49-54 (2010).

MSC: 62-04 62A09

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Hwang, Feng-Nan; Cai, Shang-Rong; Shao, Yun-Long; Wu, Jong-Shinn

Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloidal particle interactions. (English) Zbl 1219.82024

Comput. Phys. Commun. 181, No. 9, 1529-1537 (2010).

MSC: 82-08 82C22 76P05 65N08 65H10 65F08 65F10 65Y10 35J61 35Q20

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Taylan, Pakize; Weber, Gerhard-Wilhelm; Liu, Lian; Yerlikaya-Özkurt, Fatma

On the foundations of parameter estimation for generalized partial linear models with B-splines and continuous optimization. (English) Zbl 1198.62071

Comput. Math. Appl. 60, No. 1, 134-143 (2010).

MSC: 62J12 62F10 62G05 65D07

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Corriou, Jean-Pierre

Numerical methods and optimization. (Méthodes numériques et optimisation. Théorie et pratique pour l’ingénieur.) (French) Zbl 1206.65001

Paris: Editions TEC & DOC (ISBN 978-2-7430-1317-2/pbk). 445 p. (2010).

Reviewer: Constantin Popa (Constanţa)

MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx 65Kxx 90Cxx

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Tomov, Stanimire; Dongarra, Jack; Baboulin, Marc

Towards dense linear algebra for hybrid GPU accelerated manycore systems. (English) Zbl 1204.68268

Parallel Comput. 36, No. 5-6, 232-240 (2010).

MSC: 68W10 68M99 65F99 65Y05

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Bailey, D. H.; Borwein, J. M.; Crandall, R. E.

Advances in the theory of box integrals. (English) Zbl 1227.11127

Math. Comput. 79, No. 271, 1839-1866 (2010).

Reviewer: Florin Nicolae (Berlin)

MSC: 11Y60 65D30

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Tromeur-Dervout, Damien (ed.); Brenner, Gunther (ed.); Emerson, David R. (ed.); Erhel, Jocelyne (ed.)

Parallel computational fluid dynamics 2008. Parallel numerical methods, software development and applications. Proceedings of the 20th international conference, Lyon, France, May 19–22, 2008. (English) Zbl 1201.76012

Lecture Notes in Computational Science and Engineering 74. Berlin: Springer (ISBN 978-3-642-14437-0/hbk; 978-3-642-26515-0/pbk978-3-642-14438-7/ebook). xi, 432 p. (2010).

MSC: 76-06 76Mxx 65Y05 00B25

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Nagurney, Anna; Woolley, Trisha; Qiang, Qiang

Multi-product supply chain horizontal network integration: models, theory, and computational results. (English) Zbl 1189.90025

Int. Trans. Oper. Res. 17, No. 3, 333-349 (2010).

MSC: 90B15

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Seydel, Rüdiger

Practical bifurcation and stability analysis. 3rd ed. (English) Zbl 1195.34004

Interdisciplinary Applied Mathematics 5. New York, NY: Springer-Verlag (ISBN 978-1-4419-1739-3/hbk; 978-1-4614-2530-4/pbk; 978-1-4419-1740-9/ebook). xviii, 483 p. (2010).

Reviewer: Klaus R. Schneider (Berlin)

MSC: 34-02 34Cxx 34Dxx 65P30 70Kxx 92-08 65L07 37Mxx 37Nxx

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Gottschling, Peter; Wise, David S.; Joshi, Adwait

Generic support of algorithmic and structural recursion for scientific computing. (English) Zbl 1201.68037

Int. J. Parallel Emergent Distrib. Syst. 24, No. 6, 479-503 (2009).

MSC: 68N19 68W05

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Iushchenko, R. A.

Measuring the performance of parallel computers with distributed memory. (English. Russian original) Zbl 1183.68166

Cybern. Syst. Anal. 45, No. 6, 941-951 (2009); translation from Kibern. Sist. Anal. 2009, No. 6, 106-117 (2009).

MSC: 68N19

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Camba-Mendez, Gonzalo; Kapetanios, George

Statistical tests and estimators of the rank of a matrix and their applications in econometric modelling. (English) Zbl 1172.62020

Econom. Rev. 28, No. 6, 581-611 (2009).

MSC: 62H15 62P20 62H12 62M10 62F12 62H10

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Drummond, L. Anthony; Galiano, Vicente; Migallón, Violeta; Penadés, Jose

Interfaces for parallel numerical linear algebra libraries in high level languages. (English) Zbl 1167.65478

Adv. Eng. Softw. 40, No. 8, 652-658 (2009).

MSC: 65Y15 65Y05 68N15 68W10

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Fang, Liang; He, Guoping

Some modifications of Newton’s method with higher-order convergence for solving nonlinear equations. (English) Zbl 1168.65344

J. Comput. Appl. Math. 228, No. 1, 296-303 (2009).

MSC: 65H05 41A25 65D32

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Ojeda, Fabian; Suykens, Johan A. K.; De Moor, Bart

Low rank updated LS-SVM classifiers for fast variable selection. (English) Zbl 1254.68218

Neural Netw. 21, No. 2-3, 437-449 (2008).

MSC: 68T05

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Page, Andrew J.; Keane, Thomas M.; Naughton, Thomas J.

Scheduling in a dynamic heterogeneous distributed system using estimation error. (English) Zbl 1243.68120

J. Parallel Distrib. Comput. 68, No. 11, 1452-1462 (2008).

MSC: 68M20 68M14

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Sheather, Simon J.; McKean, Joseph W.; Crimin, Kimberly

Sliced mean variance-covariance inverse regression. (English) Zbl 1452.62466

Comput. Stat. Data Anal. 52, No. 4, 1908-1927 (2008).

MSC: 62H30 62-08

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Wood, Simon N.

Fast stable direct fitting and smoothness selection for generalized additive models. (English) Zbl 05563356

J. R. Stat. Soc., Ser. B, Stat. Methodol. 70, No. 3, 495-518 (2008).

MSC: 62-XX

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Found 510 Documents (Results 1–100)

Quantitative invertibility of non-Hermitian random matrices. (English) Zbl 1540.60013

Numerical stability of algorithms at extreme scale and low precisions. (English) Zbl 1535.65060

Matrix algebra. Theory, computations and applications in statistics. 3rd edition. (English) Zbl 1534.15001

A two-stage adaptive Metropolis algorithm. (English) Zbl 07739596

Error estimation of the relaxation finite difference scheme for the nonlinear Schrödinger equation. (English) Zbl 1529.65022

Mixed precision algorithms in numerical linear algebra. (English) Zbl 1512.65081

Analytical discrete-ordinates solutions for improved 1D models of particle transport in ducts with wall migration. (English) Zbl 07629006

Randomized Wasserstein barycenter computation: resampling with statistical guarantees. (English) Zbl 1493.62010

A discrete-ordinates solution for the strong evaporation problem in rarefied gas dynamics. (English) Zbl 1538.82035

Approximate maximum likelihood estimation for logistic regression with covariate measurement error. (English) Zbl 1523.62097

Accurate spherical harmonics solutions for neutron transport problems in multi-region spherical geometry. (English) Zbl 07508461

A set of batched basic linear algebra subprograms and LAPACK routines. (English) Zbl 07467952

Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices. (English) Zbl 1476.65052

Error estimation of the Besse relaxation scheme for a semilinear heat equation. (English) Zbl 1491.65080

Computed tomography reconstruction with uncertain view angles by iteratively updated model discrepancy. (English) Zbl 1524.94029

Matrices with tunable infinity-norm condition number and no need for pivoting in LU factorization. (English) Zbl 1467.65035

Finite surface discretization for incompressible Navier-Stokes equations and coupled conservation laws. (English) Zbl 07508409

Complex portfolio selection via convex mixed-integer quadratic programming: a survey. (English) Zbl 07770931

A heterogeneous parallel LU factorization algorithm based on a basic column block uniform allocation strategy. (English) Zbl 1435.65047

Angle-based shape determination theory of planar graphs with application to formation stabilization. (English) Zbl 1429.93022

Spectral condition-number estimation of large sparse matrices. (English) Zbl 1449.65097

An implementation of Milstein’s method for general bounded diffusions. (English) Zbl 1417.60062

Using high performance computing for liquefaction hazard assessment with statistical soil models. (English) Zbl 07074132

Efficient reduction of banded Hermitian positive definite generalized eigenvalue problems to banded standard eigenvalue problems. (English) Zbl 1455.65055

Explorations in numerical analysis. (English) Zbl 1398.65002

Extending \(R\) with C++: a brief introduction to Rcpp. (English) Zbl 07663915

On the \(P_\text{N}\) method in spherical geometry: a stable solution for the exterior of a sphere. (English) Zbl 07472834

Randomized complete pivoting for solving symmetric indefinite linear systems. (English) Zbl 1404.65013

The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. (English) Zbl 1410.65114

Scientific computing. A historical perspective. (English) Zbl 1447.65002

Elementary numerical analysis. An algorithmic approach. Updated with MATLAB. Reprint of the third edition 1980. (English) Zbl 1392.65002

Iterative methods and preconditioning for large and sparse linear systems with applications. (English) Zbl 1386.65001

The ultra weak variational formulation for the modified mild-slope equation. (English) Zbl 1480.65326

Algorithm 978: Safe scaling in the level 1 BLAS. (English) Zbl 1484.65101

Implementing high-performance complex matrix multiplication via the 3m and 4m methods. (English) Zbl 1484.65093

A new multi-domain method based on an analytical control surface for linear and second-order mean drift wave loads on floating bodies. (English) Zbl 1380.76103

Matrix algebra. Theory, computations and applications in statistics. 2nd edition. (English) Zbl 1386.15002

LU factorization on heterogeneous systems: an energy-efficient approach towards high performance. (English) Zbl 1372.65091

Mixed and componentwise condition numbers for matrix decompositions. (English) Zbl 1375.65048

JuMP: a modeling language for mathematical optimization. (English) Zbl 1368.90002

An inexact restoration derivative-free filter method for nonlinear programming. (English) Zbl 1359.65092

Analytical discrete-ordinates solution for 3D particle transport in ducts as described by a 1D model with three basis functions. (English) Zbl 07503221

A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. (English) Zbl 1360.86004

Accelerated dimension-independent adaptive metropolis. (English) Zbl 1352.65029

Linear algebra software for large-scale accelerated multicore computing. (English) Zbl 1353.65019

Scientific computing with MATLAB. 2nd edition. (English) Zbl 1344.65001

Parallel profiling of water distribution networks using the Clément formula. (English) Zbl 1410.86011

A polynomial time constraint-reduced algorithm for semidefinite optimization problems. (English) Zbl 1329.90104

An analytical approach to the strong evaporation problem in rarefied gas dynamics. (English) Zbl 1327.76125

On rotation deformation zones for finite-strain Cosserat plasticity. (English) Zbl 1325.74030

Kalman filtering. Theory and practice with MATLAB. 4th ed. (English) Zbl 1322.93001

Improvements in the ADO method for a one-dimensional model of neutral particle transport in ducts. (English) Zbl 07500141

Communication lower bounds and optimal algorithms for numerical linear algebra. (English) Zbl 1396.65082

A column generation approach to extend lifetime in wireless sensor networks with coverage and connectivity constraints. (English) Zbl 1348.90170

Scheduled penalty variable neighborhood search. (English) Zbl 1348.90647

Solving a large scale radiosity problem on GPU-based parallel computers. (English) Zbl 1336.65025

Balancing three matrices in control theory. (English) Zbl 1309.65073

Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation. (English) Zbl 1296.74042

Computational methods of linear algebra. 3rd ed. (English) Zbl 1302.65068

Foundations of statistical algorithms. With references to R packages. (English) Zbl 1296.62010

Numerical mathematics. 4th ed. (Matematica numerica.) (Italian) Zbl 1293.65001

Sequential Monte Carlo on large binary sampling spaces. (English) Zbl 1322.62035

A matheuristic for the truck and trailer routing problem. (English) Zbl 1317.90057

Gram-Schmidt orthogonalization: 100 years and more. (English) Zbl 1313.65086

Real-time model learning using incremental sparse spectrum Gaussian process regression. (English) Zbl 1296.68127

Smoothing spline ANOVA models. 2nd ed. (English) Zbl 1269.62040

XML in scientific computing. (English) Zbl 1263.68010

Bayesian nonparametric shrinkage applied to Cepheid star oscillations. (English) Zbl 1330.62186

Analytical and numerical investigation for true and spurious eigensolutions of an elliptical membrane using the real-part dual BIEM/BEM. (English) Zbl 1293.74167

Robust adaptive Metropolis algorithm with coerced acceptance rate. (English) Zbl 1252.65024

CMARS: A new contribution to nonparametric regression with multivariate adaptive regression splines supported by continuous optimization. (English) Zbl 1254.65020

Generative programming for automatic differentiation. (English) Zbl 1251.65031

Hypervolume-based multiobjective optimization: theoretical foundations and practical implications. (English) Zbl 1242.90205

On the low-rank approximation by the pivoted Cholesky decomposition. (English) Zbl 1244.65042