Výsledky vyhledávání - "numerical computation of eigenvalues and eigenvectors"

A tridiagonalization-based arbitrary-stride reduction approach for (p,q)-pentadiagonal linear systems: A tridiagonalization-based arbitrary-stride reduction approach for \((p,q)\)-pentadiagonal linear systems

Autoři: Yi-Fan Wang Ji-Teng Jia Xin Fan

Zdroj: Applied Numerical Mathematics. 213:77-87

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, \((p, q)\)-pentadiagonal matrix, Diagonalization, Jordan forms, arbitrary-stride reduction, tridiagonalization, extended condition number, linear system, Direct numerical methods for linear systems and matrix inversion, condition number

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034918
https://doi.org/10.1016/j.apnum.2025.02.017

On the Numerical Computation of Eigenvalues and Eigenvectors of Symmetric Integral Equations

Autoři: Linz, Peter

Zdroj: Mathematics of Computation, 1970 Oct 01. 24(112), 905-910.

Přístupová URL adresa: https://www.jstor.org/stable/2004624

Improving Performance of Contour Integral-Based Nonlinear Eigensolvers with Infinite GMRES: Improving performance of contour integral-based nonlinear eigensolvers with infinite GMRES

Autoři: Yuqi Liu Jose E. Roman Meiyue Shao

Zdroj: SIAM Journal on Scientific Computing. 47:B595-B617

Témata: Numerical solution of nonlinear eigenvalue and eigenvector problems, Numerical computation of eigenvalues and eigenvectors of matrices, infinite Arnoldi, contour integration, nonlinear eigenvalue problem, FOS: Mathematics, Krylov methods, companion linearization, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2403.19309
https://zbmath.org/8037158
https://doi.org/10.1137/24m1650375

Global Convergence of Hessenberg Shifted QR II: Finite Arithmetic: Global convergence of Hessenberg shifted QR. II: Finite arithmetic

Autoři: Jess Banks Jorge Garza-Vargas Nikhil Srivastava

Zdroj: SIAM Journal on Matrix Analysis and Applications. 46:1168-1211

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical algorithms for computer arithmetic, etc, shifted QR, numerical linear algebra, Ritz values, nonnormality, dynamical systems

Popis souboru: application/xml

Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration: Global convergence of Hessenberg shifted QR. III: Approximate Ritz values via shifted inverse iteration

Autoři: Jess Banks Jorge Garza-Vargas Nikhil Srivastava

Zdroj: SIAM Journal on Matrix Analysis and Applications. 46:1212-1246

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, inverse iteration, shifted QR, numerical linear algebra, FOS: Mathematics, Ritz values, nonnormality, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2205.06804

Multilinear Singular Value Decomposition–Based Completion with Fibers Observed in a Single Mode: Multilinear singular value decomposition-based completion with fibers observed in a single mode

Autoři: Mikael Sørensen Stijn Hendrikx Lieven De Lathauwer

Zdroj: SIAM Journal on Matrix Analysis and Applications. 46:1061-1090

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, structured matrix, missing data, Eigenvalues, singular values, and eigenvectors, multilinear singular value decomposition, Multilinear algebra, tensor calculus, completion, tensor

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8036733
https://doi.org/10.1137/23m1622830

Some Results On Generalized Antieigenvalue Pairs and Their Associated Antieigenvectors of Certain Class of Linear Two-Parameter Eigenvalue Problems: Some results on generalized antieigenvalue pairs and their associated antieigenvectors of certain class of linear two-parameter eigenvalue problems

Autoři: Bora, N. Chutia, B.

Zdroj: Malaysian Journal of Mathematical Sciences. 19:343-359

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, generalized antieigenvectors, Eigenvalues, singular values, and eigenvectors, \(\mathbb{LTEP}\), linearization, Spectrum, resolvent, matrix polynomial, generalized antieigenvalues

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8033609
https://doi.org/10.47836/mjms.19.1.18

Riemannian acceleration with preconditioning for symmetric eigenvalue problems

Autoři: Shao, Nian Chen, Wenbin

Zdroj: Numerische Mathematik. 157:307-354

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Eigenvalues, singular values, and eigenvectors, 15A18, 65F08, 65F15, 65N25, 90C25, FOS: Mathematics, Preconditioners for iterative methods, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2309.05143
https://zbmath.org/7978174
https://doi.org/10.1007/s00211-025-01451-0

EPIC: A Provable Accelerated Eigensolver Based on Preconditioning and Implicit Convexity: EPIC: a provable accelerated eigensolver based on preconditioning and implicit convexity

Autoři: Nian Shao Wenbin Chen Zhaojun Bai

Zdroj: SIAM Journal on Matrix Analysis and Applications. 46:45-73

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Convex programming, convexity, preconditioning, FOS: Mathematics, eigenvalue problem, Preconditioners for iterative methods, acceleration, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, 15A08, 65F08, 65F15, 90C25, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.11786
https://zbmath.org/7976352
https://doi.org/10.1137/24m1641440

Gradient-Type Subspace Iteration Methods for the Symmetric Eigenvalue Problem: Gradient-type subspace iteration methods for the symmetric eigenvalue problem

Autoři: Foivos Alimisis Yousef Saad Bart Vandereycken

Zdroj: SIAM Journal on Matrix Analysis and Applications. 45:2360-2386

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical optimization and variational techniques, Eigenvalues, singular values, and eigenvectors, eigenspaces, trace optimization, 15A69, 15A18, Methods of reduced gradient type, Diagonalization, Jordan forms, partial diagonalization, Numerical Analysis (math.NA), Grassmann manifolds, Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Numerical Analysis, invariant subspaces, Mathematics - Optimization and Control, gradient descent

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2306.10379

Efficient Bounds and Estimates for Canonical Angles in Randomized Subspace Approximations: Efficient bounds and estimates for canonical angles in randomized subspace approximations

Autoři: Yijun Dong Per-Gunnar Martinsson Yuji Nakatsukasa

Zdroj: SIAM Journal on Matrix Analysis and Applications. 45:1978-2006

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, singular vectors, Eigenvalues, singular values, and eigenvectors, canonical angles, 15A18, 15A42, 65F15, 68W20, randomized subspace iteration, FOS: Mathematics, Numerical methods for low-rank matrix approximation, matrix compression, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, Inequalities involving eigenvalues and eigenvectors, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2211.04676
https://zbmath.org/7947701
https://doi.org/10.1137/23m1584733

Geodesic Convexity of the Symmetric Eigenvalue Problem and Convergence of Steepest Descent: Geodesic convexity of the symmetric eigenvalue problem and convergence of steepest descent

Autoři: Foivos Alimisis Bart Vandereycken

Zdroj: J Optim Theory Appl

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, low-rank approximation, Eigenvalues, singular values, and eigenvectors, geodesic convexity, block Rayleigh quotient, Quadratic programming, Riemannian optimization, Article, Grassmann manifold

Popis souboru: application/xml

Přístupová URL adresa: https://pubmed.ncbi.nlm.nih.gov/39493644

A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains: A scalable two-level domain decomposition eigensolver for periodic Schrödinger eigenstates in anisotropically expanding domains

Autoři: Lambert Theisen Benjamin Stamm

Zdroj: SIAM Journal on Scientific Computing. 46:A3067-A3093

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, FOS: Computer and information sciences, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, finite element method, Schrödinger equation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, coarse spaces, Computational Engineering, Finance, and Science (cs.CE), domain decomposition, preconditioning, FOS: Mathematics, iterative methods, 65N25, 65F15, 65N30, 65F10, 65N22, 65N55, 65F08, Preconditioners for iterative methods, Mathematics - Numerical Analysis, Computer Science - Computational Engineering, Finance, and Science

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2311.08757

Informed Normalized Gradient Flow Method for Parameterized Schrödinger Operators: A Case Study on Photonic Graphene: Informed normalized gradient flow method for parameterized Schrödinger operators: a case study on photonic graphene

Autoři: Guo, Hailong Lorin, Emmanuel Noxon, Charlotte a další

Zdroj: Journal of Scientific Computing. 103

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Schrödinger operator, machine learning, General mathematical topics and methods in quantum theory, graphene, eigenvalue problem, neural networks, Artificial neural networks and deep learning, Atomic physics

Popis souboru: application/xml

A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators: A two-level block preconditioned Jacobi-Davidson method for multiple and clustered eigenvalues of elliptic operators

Autoři: Qigang Liang Wei Wang Xuejun Xu

Zdroj: SIAM Journal on Numerical Analysis. 62:998-1019

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Multigrid methods, domain decomposition for boundary value problems involving PDEs, finite element discretization, multiple and clustered eigenvalues, Rate of convergence, degree of approximation, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, PDE eigenvalue problems, preconditioned Jacobi-Davidson method, overlapping domain decomposition, FOS: Mathematics, Preconditioners for iterative methods, Mathematics - Numerical Analysis, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2203.06327

A method for solving ill-conditioned separable nonlinear least squares problems and its application

Autoři: Wang, Luyao Liu, Guolin Chen, Yang a další

Zdroj: Journal of Computational and Applied Mathematics. 466:116624

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, variable projection, Ill-posedness and regularization problems in numerical linear algebra, ridge estimation, singular value decomposition, Orthogonalization in numerical linear algebra, ill-conditioned matrix, height anomaly

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8031358
https://doi.org/10.1016/j.cam.2025.116624

Global bounds of backward errors of polynomial eigenvalue problem solved by a companion linearization

Autoři: Yang, Ziyin Wang, Zekun Cao, Zongqi a další

Zdroj: Computational and Applied Mathematics. 44

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Eigenvalues, singular values, and eigenvectors, scaling, linearization, backward error, Matrix pencils, matrix polynomial

Popis souboru: application/xml

High-relative-accuracy computations with Kac-Murdock-Szegö matrices and their generalizations

Autoři: Jorge Delgado J. M. Peña

Zdroj: Zaguán. Repositorio Digital de la Universidad de Zaragoza
Universidad de Zaragoza

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Roundoff error, Kac-Murdock-Szegö matrix, Direct numerical methods for linear systems and matrix inversion, Factorization of matrices, accurate computations

Popis souboru: application/pdf; application/xml

Přístupová URL adresa: http://zaguan.unizar.es/record/153036
https://zbmath.org/8034187
https://doi.org/10.1007/s40314-025-03137-7

Parametric model order reduction for a wildland fire model via the shifted POD-based deep learning method

Autoři: Shubhaditya Burela Philipp Krah Julius Reiss

Zdroj: Advances in Computational Mathematics. 51

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, shifted proper orthogonal decomposition, 500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik, Fluid Dynamics (physics.flu-dyn), Numerical methods for low-rank matrix approximation, matrix compression, deep learning, FOS: Physical sciences, Physics - Fluid Dynamics, Numerical Analysis (math.NA), wildland fires, model order reduction, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, artificial neural networks, data-driven models, Artificial neural networks and deep learning

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2304.14872
https://zbmath.org/8015907
https://doi.org/10.1007/s10444-025-10220-4

On convergence of the generalized Lanczos trust-region method for trust-region subproblems

Autoři: Feng, Bo Wu, Gang

Zdroj: Advances in Computational Mathematics. 51

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, 0211 other engineering and technologies, FOS: Mathematics, easy case, Mathematics - Numerical Analysis, 02 engineering and technology, Numerical Analysis (math.NA), generalized Lanczos trust-region (GLTR) method, Nonconvex programming, global optimization, trust-region subproblem, Krylov subspace, cubic regularization

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2207.12674