Found 139 Documents (Results 1–100)
On multi-step randomized extended Kaczmarz method for solving large sparse inconsistent linear systems. (English) Zbl 1526.65005
Robust Schur complement preconditioner for block-Toeplitz system and its application in image restoration. (English) Zbl 1509.65024
Fast rotated BSOR method for block two-by-two linear systems with application to PDE-constrained optimal control problems. (English) Zbl 1505.65160
On relaxed greedy randomized augmented Kaczmarz methods for solving large sparse inconsistent linear systems. (English) Zbl 1481.65067
The single-step preconditioned HSS method for singular linear systems. (English) Zbl 1537.65027
Reviewer: Raffaella Pavani (Milano)
Sparse solutions to an underdetermined system of linear equations via penalized Huber loss. (English) Zbl 1484.65123
On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. (English) Zbl 1483.65065
An efficient iterative approach to large sparse nonlinear systems with non-Hermitian Jacobian matrices. (English) Zbl 1475.65017
Sparse optimal control of a phase field tumor model with mechanical effects. (English) Zbl 1461.49060
The generalized C-to-R method for solving complex symmetric indefinite linear systems. (English) Zbl 1422.65061
Accelerating the induced dimension reduction method using spectral information. (English) Zbl 1408.65011
Reviewer: Jurjen Duintjer Tebbens (Praha)
Krylov subspace solvers and preconditioners. (English) Zbl 1406.65021
Reviewer: Nikolay Kyurkchiev (Plovdiv)
On LPMHSS-based iteration methods for a class of weakly nonlinear systems. (English) Zbl 1405.65074
Reviewer: Anton Iliev (Plovdiv)
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems. (English) Zbl 1524.65191
On greedy randomized Kaczmarz method for solving large sparse linear systems. (English) Zbl 1383.65024
Complex-extrapolated MHSS iteration method for singular complex symmetric linear systems. (English) Zbl 1383.65029
Reviewer: Adhemar Bultheel (Leuven)
Quantum algorithm for linear differential equations with exponentially improved dependence on precision. (English) Zbl 1380.81083
Sparsified Cholesky and multigrid solvers for connection Laplacians. (English) Zbl 1378.65079
Wichs, Daniel (ed.) et al., Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC ’16, Cambridge, MA, USA, June 19–21, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4132-5). 842-850 (2016).
Gauss-Seidal algorithm to \(L_1\) minimization. (Chinese. English summary) Zbl 1363.65107
The relaxed nonlinear PHSS-like iteration method for absolute value equations. (English) Zbl 1410.90224
A GPU-based preconditioned Newton-Krylov solver for flexible multibody dynamics. (English) Zbl 1352.65369
An application of combinatorics in cryptography. (English) Zbl 1401.94160
Nešetril, Jaroslav (ed.) et al., Extended abstracts of the eight European conference on combinatorics, graph theory and applications, EuroComb 2015, Bergen, Norway, August 31 – September 4, 2015. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 49, 31-35, electronic only (2015).
Randomized sparse block Kaczmarz as randomized dual block-coordinate descent. (English) Zbl 1349.65194
ILU preconditioning based on the FAPINV algorithm. (English) Zbl 1334.65071
Reviewer: Adhemar Bultheel (Leuven)
Approximating real stability radii. (English) Zbl 1328.65168
Reviewer: Johannes Schropp (Konstanz)
A direct method for solving block circulant banded system of linear equations. (English) Zbl 1410.65080
Finding a sparse solution of a class of linear differential equations by solving a nonlinear system. (English) Zbl 1345.65049
Watt, Stephen M. (ed.) et al., Proceedings of the 2014 symposium on symbolic-numeric computation, SNC 2014, Shanghai, China, July 28–31, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2963-7). 70-77 (2014).
Linear independence oracles and applications to rectangular and low rank linear systems. (English) Zbl 1325.68300
Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 381-388 (2014).
A new preconditioning strategy for solving a class of time-dependent PDE-constrained optimization problems. (English) Zbl 1313.65167
Low-rank approximate inverse for preconditioning tensor-structured linear systems. (English) Zbl 1307.65033
Reviewer: Constantin Popa (Constanţa)
On the eigenvalues and eigenvectors of block triangular preconditioned block matrices. (English) Zbl 1304.65122
Reviewer: Constantin Popa (Constanţa)
Fixed-parameter tractability of error correction in graphical linear systems. (English) Zbl 1379.68162
Ghosh, Subir Kumar (ed.) et al., WALCOM: algorithms and computation. 7th international workshop, WALCOM 2013, Kharagpur, India, February 14–16, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-36064-0/pbk). Lecture Notes in Computer Science 7748, 245-256 (2013).
A solver of linear systems of equations (REBSM) for large-scale engineering problems. (English) Zbl 1359.65038
Solving of discontinuous Galerkin method systems on GPU. (Russian. English summary) Zbl 1299.65317
Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations. (English) Zbl 1249.65165
Reviewer: Felice Iavernaro (Bari)
A symmetric positive definite preconditioner for saddle-point problems. (English) Zbl 1253.65050
Reviewer: Edgar Pereira (Natal)
Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets. (English) Zbl 1216.65185
A preconditioned method for the solution of the Robbins problem for the Helmholtz equation. (English) Zbl 1234.65037
Reviewer: Snezhana Gocheva-Ilieva (Plovdiv)
Sparse channel separation using random probes. (English) Zbl 1216.94041
MSC:
94A40
Polynomial least squares fitting in the Bernstein basis. (English) Zbl 1202.65017
Reviewer: Nicoleta Breaz (Alba Iulia)
Decomposition of the network support for one non-homogeneous network flow programming problem. (English) Zbl 1202.90194
On structure-oriented hybrid two-stage iteration methods for the large and sparse blocked system of linear equations. (English) Zbl 1194.65057
Reviewer: Dietrich Braess (Bochum)
Reordering inverse matrices. (Russian) Zbl 1240.65153
A fast Björck-Pereyra-type algorithm for solving Hessenberg-quasiseparable-Vandermonde systems. (English) Zbl 1197.65031
Reviewer: R. P. Tewarson (Stony Brook)
Nonlinear overlapping domain decomposition methods. (English) Zbl 1183.65053
Bercovier, Michel (ed.) et al., Domain decomposition methods in science and engineering XVIII. Selected papers based on the presentations at the 18th international conference of domain decomposition methods, Jerusalem, Israel, January 12–17, 2008. Berlin: Springer (ISBN 978-3-642-02676-8/hbk; 978-3-642-04466-3/ebook). Lecture Notes in Computational Science and Engineering 70, 217-224 (2009).
Sparse solutions to underdetermined Kronecker product systems. (English) Zbl 1181.65058
Reviewer: Ludwig Kohaupt (Berlin)
Parallel algebraic hybrid solvers for large 3D convection-diffusion problems. (English) Zbl 1167.65355
From sparse solutions of systems of equations to sparse modeling of signals and images. (English) Zbl 1178.68619
Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. (English) Zbl 1212.65245
Solution of large linear systems with embedded network structure for a non-homogeneous network flow programming problem. (English) Zbl 1172.15005
Reviewer: Eleonor Ciurea (Braşov)
On the uniqueness of nonnegative sparse solutions to underdetermined systems of equations. (English) Zbl 1319.15007
A new quasi-unsymmetric sparse linear systems solver for meshless local Petrov-Galerkin method (MLPG). (English) Zbl 1184.65048
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. (English) Zbl 1199.65097
Numer. Linear Algebra Appl. 14, No. 4, 319-335 (2007); erratum ibid. 19, No. 5, 891 (2012).
Computational performances of new Monte Carlo algorithm in comparison to SPAI preconditioner for solving linear systems. (English) Zbl 1131.65032
Solution of band linear systems in model reduction for VSLI circuits. (English) Zbl 1130.78013
Ciuprina, Gabriela (ed.) et al., Scientific computing in electrical engineering SCEE 2006. Selected papers based on the presentations at the 6th international conference, Sinaia, Romania, September 17–22, 2006. Berlin: Springer (ISBN 978-3-540-71979-3/hbk). Mathematics in Industry 11, 387-393 (2007).
Approximate inverse preconditioning of finite element discretizations of elliptic operators with nonsmooth coefficients. (English) Zbl 1106.65039
Reviewer: Angela Handlovičová (Bratislava)
A comparative study of iterative solvers exploiting spectral information for SPD systems. (English) Zbl 1100.65026
Adaptive application of operators in standard representation. (English) Zbl 1101.65111
Reviewer: Iulian Coroian (Baia Mare)
On the solution of systems of linear equations whose matrices are low-rank perturbations of Hermitian matrices. (Russian, English) Zbl 1105.65323
Vestn. Mosk. Univ., Ser. XV 2005, No. 4, 15-22 (2005); translation in Mosc. Univ. Comput. Math. Cybern. 2005, No. 4, 15-22 (2005).
Parametric methods for some special systems of linear algebraic equations. (English) Zbl 1099.65510
Chin. J. Numer. Math. Appl. 27, No. 2, 58-68 (2005); translation from J. Numer. Methods Comput. Appl. 26, No. 1, 44-53 (2005).
Parallel column action method with greedy method for band system of linear equations. (Chinese. English summary) Zbl 1085.65506
Wavelet based fast solution of boundary integral equations. (English) Zbl 1066.65135
Chuong, N. M. (ed.) et al., Abstract and applied analysis. Proceedings of the international conference, Hanoi, Vietnam, August 13–17, 2002. River Edge, NJ: World Scientific (ISBN 981-238-944-X/hbk). 139-162 (2004).
Combinative preconditioners for modified incomplete Cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems. (English) Zbl 1083.65098
Reviewer: Snezhana Gocheva-Ilieva (Plovdiv)
Serial imitation of distributed parallel algorithm with row action method for band system. (Chinese. English summary) Zbl 1060.65034
Reviewer: Liu Xinguo (Qingdao)
Weak-convergence theory of quasi-nonnegative splittings for singular matrices. (English) Zbl 1044.65022
Reviewer: Krassimir Georgiev (Sofia)
Some algorithms for solving special tridiagonal block Toeplitz linear systems. (English) Zbl 1022.65029
Mixed Monte Carlo parallel algorithms for matrix computation. (English) Zbl 1062.65002
Sloot, Peter M. A. (ed.) et al., Computational science - ICCS 2002. 2nd international conference, Amsterdam, the Netherlands, April. 21–24, 2002. Proceedings. Part 2. Berlin: Springer (ISBN 3-540-43593-X). Lect. Notes Comput. Sci. 2330, 609-618 (2002).
Quasi-birth-and-death processes with level-geometric distribution. (English) Zbl 1012.60068
Reviewer: P.R.Parthasarathy (Chennai / Madras)
Parallel solution of symmetric positive definite systems based on decomposition into overlapping blocks. (English. Russian original) Zbl 1022.65033
Comput. Math. Math. Phys. 41, No. 4, 481-493 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 4, 515-528 (2001).
Reviewer: Alexey Tret’yakov (Siedlce)
The diagonal transfer method (TS algorithm) for five-point equations. (English. Russian original) Zbl 1045.65088
Comput. Math. Math. Phys. 41, No. 2, 167-179 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 1, 186-199 (2001).
Reviewer: Alexey Tret’yakov (Siedlce)
Bessel wavelets and the Galerkin analysis of the Bessel operator. (English) Zbl 1002.65084
Reviewer: Wojciech Czaja (College Park)
Some properties of the block matrices in the parallel decomposition-type relaxation methods. (English) Zbl 0931.65031
An efficient algorithm to compute matrix decompositions for the adjoint action of nilpotent matrices. (English) Zbl 0929.65022
Reviewer: D.Braess (Bochum)
Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers. (English) Zbl 0970.65047
Bock, Hans Georg (ed.) et al., ENUMATH 97. Proceedings of the 2nd European conference on numerical mathematics and advanced applications held in Heidelberg, Germany, September 28-October 3, 1997. Including a selection of papers from the 1st conference (ENUMATH 95) held in Paris, France, September 1995. Singapore: World Scientific. 646-661 (1998).
A new class of time discretization schemes for the solution of nonlinear PDEs. (English) Zbl 0924.65089
Reviewer: Angela Handlovičová (Bratislava)
Certifying inconsistency of sparse linear systems. (English) Zbl 0919.65017
Gloor, Oliver (ed.), Proceedings of the 1998 international symposium on symbolic and algebraic computation, ISSAC ’98, Rostock, Germany, August 13–15, 1998. New York, NY: ACM Press. 113-119 (1998).
Reviewer: Z.Dżygadło (Warszawa)
Minimum residual methods for augmented systems. (English) Zbl 0914.65026
Reviewer: A.Meister (Hamburg)
On a system of difference equations arising in the cyclic reduction. (English) Zbl 0907.65022
Reviewer: Nelli Dimitrova (Sofia)
The application of scalable distributed memory computers to the finite element modeling of electromagnetic scattering. (English) Zbl 0905.65120
Taking advantage of the potentialities of dynamically modified block incomplete factorizations. (English) Zbl 0914.65029
Reviewer: H.Hollatz (Magdeburg)
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