Search Results - numerical solution algorithm for the generalized eigenvalue problems

A New Subspace Iteration Algorithm for Solving Generalized Eigenvalue Problems

Authors: Wang, Biyi An, Hengbin Xie, Hehu et al.

Index Terms: Mathematics - Numerical Analysis, 65F15, 65N25, 65H17, text

URL: http://arxiv.org/abs/2212.14520

A new subspace iteration algorithm for solving generalized eigenvalue problems in vibration analysis.

Authors: Wang, Biyi An, Hengbin Xie, Hehu et al.

Source: Journal of Computational & Applied Mathematics. Nov2025, Vol. 468, pN.PAG-N.PAG. 1p.

Subject Terms: *RAYLEIGH quotient, *CHEBYSHEV polynomials, *DIMENSIONAL analysis, *MATRIX multiplications, *QUANTUM mechanics

The Numerical Solution of Large-Scale Generalized Eigenvalue Problems Arising from Finite-Element Modeling of Electroelastic Materials.

Authors: Martynova, Tatiana Muratova, Galina Oganesyan, Pavel et al.

Source: Symmetry (20738994). Jan2023, Vol. 15 Issue 1, p171. 15p.

Subject Terms: *MATRIX pencils, *EIGENVALUES, *LANCZOS method, *MATRIX multiplications, *SYMMETRIC matrices

A Trace Minimization Algorithm for the Generalized Eigenvalue Problem

Authors: Sameh, Ahmed H. Wisniewski, John A.

Source: SIAM Journal on Numerical Analysis, 1982 Dec 01. 19(6), 1243-1259.

Access URL: https://www.jstor.org/stable/2157207

Numerical solution to the generalized eigenvalue problem

Contributors: Ward, R

Source: Other Information: Orig. Receipt Date: 30-JUN-75

File Description: Medium: X; Size: Pages: 67

Access URL: http://www.osti.gov/scitech/biblio/4241993

The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems

Authors: Ericsson, Thomas Ruhe, Axel

Source: Mathematics of Computation, 1980 Oct 01. 35(152), 1251-1268.

Access URL: https://www.jstor.org/stable/2006390

NUMERICAL SOLUTION OF BIVARIATE AND POLYANALYTIC POLYNOMIAL SYSTEMS

Authors: SORBER, LAURENT VAN BAREL, MARC DE LATHAUWER, LIEVEN

Source: SIAM Journal on Numerical Analysis, 2014 Jan 01. 52(4), 1551-1572.

Access URL: http://www.jstor.org/stable/24512158

A DOMAIN DECOMPOSITION RAYLEIGH--RITZ ALGORITHM FOR SYMMETRIC GENERALIZED EIGENVALUE PROBLEMS.

Authors: KALANTZIS, VASSILIS

Source: SIAM Journal on Scientific Computing; 2020, Vol. 42 Issue 6, pC410-C435, 26p

Subject Terms: EIGENVALUES, ALGORITHMS, SCHUR complement, APPROXIMATION error, MATRICES (Mathematics), RAYLEIGH model

A HIGHLY EFFICIENT AND ACCURATE DIVERGENCE-FREE SPECTRAL METHOD FOR THE CURL-CURL EQUATION IN TWO AND THREE DIMENSIONS.

Authors: LECHANG QIN CHANGTAO SHENG ZHIGUO YANG

Source: SIAM Journal on Scientific Computing. 2024, Vol. 46 Issue 4, pA2150-A2177. 28p.

Subject Terms: *JACOBI polynomials, *DISCRETIZATION methods, *LINEAR systems, *EIGENVALUES, *PROBLEM solving, *KRYLOV subspace

Solving generalized eigenvalue problems by ordinary differential equations on a quantum computer.

Authors: Shao, Changpeng Liu, Jin-Peng

Source: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences; Jun2022, Vol. 478 Issue 2262, p1-25, 25p

Subject Terms: ORDINARY differential equations, EIGENVALUES, QUANTUM computers

AN ALGORITHM FOR QUADRATIC EIGENPROBLEMS WITH LOW RANK DAMPING.

Authors: TASLAMAN, LEO¹ leo.taslaman@manchester.co.uk

Source: SIAM Journal on Matrix Analysis & Applications. 2015, Vol. 36 Issue 1, p251-272. 22p.

Subject Terms: *ALGORITHMS, *PROBLEM solving, QUADRATIC fields, POLYNOMIALS, EIGENVALUES, GENERALIZATION

A HOMOTOPY METHOD FOR FINDING ALL SOLUTIONS OF A MULTIPARAMETER EIGENVALUE PROBLEM.

Authors: BO DONG BO YU YAN YU

Source: SIAM Journal on Matrix Analysis & Applications. 2016, Vol. 37 Issue 2, p550-571. 22p.

Subject Terms: *PROBLEM solving, HOMOTOPY theory, EIGENVALUES, MATHEMATICAL variables, BOUNDARY value problems

The shift-and-invert Arnoldi method for singular matrix pencils

Authors: Meerbergen, Karl Wang, Zhijun

Index Terms: Mathematics - Numerical Analysis, G.1.3, text

URL: http://arxiv.org/abs/2411.02895

Parallel Jacobi-Davidson for Solving Generalized Eigenvalue Problems.

Authors: Hernández, Vicente Palma, José M. L. M. Dongarra, Jack et al.

Source: Vector & Parallel Processing - VECPAR'98. 1999, p58-70. 13p.

A highly efficient and accurate divergence-free spectral method for curl-curl equation in two and three dimensions

Authors: Qin, Lechang Sheng, Changtao Yang, Zhiguo

Index Terms: Mathematics - Numerical Analysis, text

URL: http://arxiv.org/abs/2308.12865

An Algorithm for the Generalized Matrix Eigenvalue Problem Ax = Lambda Bx

Authors: MICHIGAN UNIV ANN ARBOR DEPT OF PHYSICS Moler, C. B. Stewart, G. W.

Source: DTIC AND NTIS

Index Terms: Theoretical Mathematics, MATRICES(MATHEMATICS), ALGORITHMS, THEOREMS, TRANSFORMATIONS(MATHEMATICS), PERTURBATION THEORY, COMPUTER PROGRAMS, NUMERICAL ANALYSIS, QR ALGORITHM, FORTRAN, EIGENVECTORS, Text

URL: https://apps.dtic.mil/docs/citations/AD0746896

Algorithm 1019: A Task-based Multi-shift QR/QZ Algorithm with Aggressive Early Deflation.

Authors: MYLLYKOSKI, MIRKO

Source: ACM Transactions on Mathematical Software; Jan2022, Vol. 48 Issue 1, p1-36, 36p

Subject Terms: NONSYMMETRIC matrices, TWO-dimensional bar codes, EIGENVALUES

Company/Entity: INTEL Corp.

Nonsmooth algorithms for minimizing the largest eigenvalue with applications to inner numerical radius

Authors: Department of Mathematics Mengi, Emre (ORCID 0000-0003-0788-0066 & YÖK ID 113760); Kangal, Fatih

Source: IMA Journal Of Numerical Analysis

Index Terms: Mathematics, Eigenvalue optimization; Nonsmooth optimization; Global optimization; Rate of convergence; Subspace projections; Field of values; Definite matrix pairs; Inner numerical radius, Journal article, text/academic publication

URL: http://libdigitalcollections.ku.edu.tr/cdm/ref/collection/IR/id/9562
http://libdigitalcollections.ku.edu.tr/utils/getthumbnail/collection/IR/id/9562
http://worldcat.org/oclc/1292471800/viewonline
Koç University Institutional Repository
References NA

Nonsmooth algorithms for minimizing the largest eigenvalue with applications to inner numerical radius

Authors: Mengi, Emre (ORCID 0000-0003-0788-0066 & YÖK ID 113760); Kangal, Fatih College of Sciences; Graduate School of Sciences and Engineering Department of Mathematics

Source: IMA Journal Of Numerical Analysis

Index Terms: Mathematics, Eigenvalue optimization; Nonsmooth optimization; Global optimization; Rate of convergence; Subspace projections; Field of values; Definite matrix pairs; Inner numerical radius, Journal article, text/academic publication

URL: http://libdigitalcollections.ku.edu.tr/cdm/ref/collection/IR/id/9562
http://worldcat.org/oclc/1360584303/viewonline
Author's final manuscript
Koç University Institutional Repository

Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils

Authors: Kressner, Daniel Plestenjak, Bor

Index Terms: Mathematics - Numerical Analysis, 65F15, 15A18, 15A22, 15A21, 47A55, 68W20, 15B52, text

URL: http://arxiv.org/abs/2305.13118