Found 121 Documents (Results 1–100)
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods. (English) Zbl 1535.65055
Inexact rational Krylov subspace methods for approximating the action of functions of matrices. (English) Zbl 1534.65068
Matrix structures and matrix functions. (English) Zbl 07760743
Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 24-30 (2023).
MSC:
68W30
Sensitivity of matrix function based network communicability measures: computational methods and a priori bounds. (English) Zbl 1521.05192
Autoregressive approximations to nonstationary time series with inference and applications. (English) Zbl 1539.62267
The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix. (English) Zbl 1512.65064
Analysis vs synthesis with structure – an investigation of union of subspace models on graphs. (English) Zbl 1493.94006
Decay bounds for Bernstein functions of Hermitian matrices with applications to the fractional graph Laplacian. (English) Zbl 1491.65033
Estimation of conditional mean operator under the bandable covariance structure. (English) Zbl 1493.62038
Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices. (English) Zbl 1487.65187
Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices. (English) Zbl 1485.65049
Divide-and-conquer methods for functions of matrices with banded or hierarchical low-rank structure. (English) Zbl 1482.65071
Computing the reciprocal of a \(\phi\)-function by rational approximation. (English) Zbl 1481.65069
MSC:
65F60
Convergence of Dziuk’s fully discrete linearly implicit scheme for curve shortening flow. (English) Zbl 1492.65276
Reviewer: Marius Ghergu (Dublin)
Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions. (English) Zbl 07398755
Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. (English) Zbl 1461.65067
Modeling and computation of Kubo conductivity for two-dimensional incommensurate bilayers. (English) Zbl 1460.65039
Estimation and inference for precision matrices of nonstationary time series. (English) Zbl 1471.62461
Reviewer: Joseph Melamed (Los Angeles)
Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. (English) Zbl 1428.90160
Efficient approximation of functions of some large matrices by partial fraction expansions. (English) Zbl 1499.65156
Kernel-based collocation methods for Zakai equations. (English) Zbl 1431.60060
Stoch. Partial Differ. Equ., Anal. Comput. 7, No. 3, 476-494 (2019); correction ibid. 8, No. 1, 262-263 (2019).
Efficient solution of time-fractional differential equations with a new adaptive multi-term discretization of the generalized Caputo-Dzherbashyan derivative. (English) Zbl 1427.65220
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices. (English) Zbl 1434.65058
MSC:
65F60
Invertibility of matrix type operators of infinite order with exponential off-diagonal decay. (English) Zbl 1430.15005
Reviewer: José Bonet (Valencia)
Modifying AMG coarse spaces with weak approximation property to exhibit approximation in energy Norm. (English) Zbl 1448.65264
Reviewer: Marius Ghergu (Dublin)
A Markov chain-based multi-elimination preconditioner for elliptic PDE problems. (English) Zbl 1416.65420
Beyond Wiener’s lemma: nuclear convolution algebras and the inversion of digital filters. (English) Zbl 1435.46035
Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions. (English) Zbl 1448.65026
Numerical methods for large-scale Lyapunov equations with symmetric banded data. (English) Zbl 1416.65119
MSC:
65F30
15A24
Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices. (English) Zbl 1402.15020
Bounds for the decay of the entries in inverses and Cauchy-Stieltjes functions of certain sparse, normal matrices. (English) Zbl 1513.15061
Block diagonal dominance of matrices revisited: bounds for the norms of inverses and eigenvalue inclusion sets. (English) Zbl 1390.15065
Localized spectrum slicing. (English) Zbl 1364.65085
Solving mixed classical and fractional partial differential equations using short-memory principle and approximate inverses. (English) Zbl 1362.65038
Numerical structure of the Hessian of the Lagrange dual function for a class of convex problems. (English) Zbl 1394.90458
Multigrid with rough coefficients and multiresolution operator decomposition from hierarchical information games. (English) Zbl 1358.65071
Sparse solution of the Lyapunov equation for large-scale interconnected systems. (English) Zbl 1371.93029
Localization in matrix computations: theory and applications. (English) Zbl 1361.65027
Benzi, Michele (ed.) et al., Exploiting hidden structure in matrix computations: algorithms and applications. Cetraro, Italy, June 22–26, 2015. Lecture notes given at the summer course. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-49886-7/pbk; 978-3-319-49887-4/ebook). Lecture Notes in Mathematics 2173. CIME Foundation Subseries, 211-317 (2016).
Matrices with hierarchical low-rank structures. (English) Zbl 1361.65023
Benzi, Michele (ed.) et al., Exploiting hidden structure in matrix computations: algorithms and applications. Cetraro, Italy, June 22–26, 2015. Lecture notes given at the summer course. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-49886-7/pbk; 978-3-319-49887-4/ebook). Lecture Notes in Mathematics 2173. CIME Foundation Subseries, 161-209 (2016).
Sparse approximate inverse preconditioners on high performance GPU platforms. (English) Zbl 1359.65041
The evolution of a viscous thread pulled with a prescribed speed. (English) Zbl 1359.76092
MSC:
76D08
Decay estimates of discretized Green’s functions for Schrödinger type operators. (English) Zbl 1354.65218
Reviewer: Abdallah Bradji (Annaba)
Supremum norm posterior contraction and credible sets for nonparametric multivariate regression. (English) Zbl 1338.62121
A study of resolvent set for a class of band operators with matrix elements. (English) Zbl 1465.47025
Solvers for \(\mathcal{O}(N)\) electronic structure in the strong scaling limit. (English) Zbl 1336.65054
Decay bounds for functions of Hermitian matrices with banded or Kronecker structure. (English) Zbl 1323.15005
Optimal uniform convergence rates and asymptotic normality for series estimators under weak dependence and weak conditions. (English) Zbl 1337.62101
Intrinsic localization of anisotropic frames. II: \(\alpha\)-molecules. (English) Zbl 1323.42030
Reviewer: Vladimir V. Peller (East Lansing)
Detecting topological entanglement entropy in a lattice of quantum harmonic oscillators. (English) Zbl 1451.81093
Inverse closed ultradifferential subalgebras. (English) Zbl 1329.46044
Reviewer: Mati Abel (Tartu)
Spectral properties for matrix algebras. (English) Zbl 1316.15020
Reviewer: Alan L. Andrew (Bundoora)
Norm-controlled inversion in smooth Banach algebras, II. (English) Zbl 1303.41019
Reviewer: T. D. Narang (Amritsar)
On the decay of the inverse of matrices that are sum of Kronecker products. (English) Zbl 1291.65144
On the finite section method for computing exponentials of doubly-infinite skew-Hermitian matrices. (English) Zbl 1291.65145
On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces. (English) Zbl 1285.65068
Reviewer: Abdallah Bradji (Annaba)
Intrinsic localization of anisotropic frames. (English) Zbl 1295.42015
Reviewer: Ghanshyam Bhatt (Nashville)
Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives. (English) Zbl 1264.65037
A probing method for computing the diagonal of a matrix inverse. (English) Zbl 1274.65132
Reviewer: Pavel Jiránek (Toulous)
Distributed estimation via iterative projections with application to power network monitoring. (English) Zbl 1246.93108
The inverse positivity of perturbed tridiagonal \(M\)-matrices. (English) Zbl 1206.15024
Reviewer: Alberto Seeger (Avignon)
MSC:
15B48
Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices. (English) Zbl 1210.41010
Reviewer: T. D. Narang (Amritsar)
Updating preconditioners for nonlinear deblurring and denoising image restoration. (English) Zbl 1195.94008
MSC:
94A08
On the inverses of general tridiagonal matrices. (English) Zbl 1197.15005
Reviewer: Sheng Chen (Harbin)
The linear pencil approach to rational interpolation. (English) Zbl 1193.41001
Reviewer: H. P. Dikshit (Bhopal)
Approximation of kernel matrices by circulant matrices and its application in kernel selection methods. (English) Zbl 1191.65190
Reviewer: Li Changpin (Logan)
A power sparse approximate inverse preconditioning procedure for large sparse linear systems. (English) Zbl 1224.65088
Reviewer: Miroslav Rozložník (Praha)
Making almost commuting matrices commute. (English) Zbl 1189.15018
Reviewer: Mihail Voicu (Iaşi)
Inverse positivity of perturbed tridiagonal \(M\)-matrices. (English) Zbl 1165.15020
Reviewer: Václav Burjan (Praha)
A tearing-based hybrid parallel banded linear system solver. (English) Zbl 1170.65025
Reviewer: Frank Uhlig (Auburn)
Generalized Jacobi operators in Krein spaces. (English) Zbl 1154.47026
Reviewer: Adhemar Bultheel (Leuven)
Persistently positive inverses of perturbed \(M\)-matrices. (English) Zbl 1124.15017
Reviewer: Rabe von Randow (Bonn)
Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices. (English) Zbl 1105.46032
Reviewer: Richard M. Timoney (Dublin)
Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices. (English) Zbl 1076.15014
Reviewer: Erich W. Ellers (Toronto)
An implicit compact scheme solver with application to chemically reacting flows. (English) Zbl 1071.80004
Reviewer: Alain Brillard (Mulhouse)
A nested iterative scheme for indefinite linear systems in particulate flows. (English) Zbl 1067.76559
Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture. (English) Zbl 1037.41008
Reviewer: Michael M. Pahirya (Uzhgorod)
Four short stories about Toeplitz matrix calculations. (English) Zbl 0999.65026
Reviewer: Petko Hr.Petkov (Sofia)
Preconditioned iterative methods for the nine-point approximation to the convection-diffusion equation. (English) Zbl 0993.65117
Complex Jacobi matrices. (English) Zbl 0977.30007
Reviewer: Alan L.Andrew (Bundoora)
On computing Jacobi matrices associated with recurrent and Möbius iterated function systems. (English) Zbl 0977.65018
Reviewer: Emil Minchev (Sofia)
MSC:
65D20
65Q05
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