Search Results - numerical solution algorithm for the generalized eigenvalue problem

Nonlinearizing two-parameter eigenvalue problems

Authors: Ringh, Emil Jarlebring, Elias

Source: SIAM Journal on Matrix Analysis and Applications. 42(2):775-799

Subject Terms: two-parameter eigenvalue problem, nonlinear eigenvalue problem, multiparameter eigenvalue problem, iterative algorithms, implicit function theorem, Numerical Analysis, Numerisk analys, Tillämpad matematik och beräkningsmatematik, Applied and Computational Mathematics

File Description: print

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-291995
https://doi.org/10.1137/19M1274316

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

The palindromic generalized eigenvalue problem : Numerical solution and applications

Authors: Li, Tiexiang Chiang, Chun-Yueh Chu, Eric King-wah et al.

Source: Linear Algebra & its Applications. Jun2011, Vol. 434 Issue 11, p2269-2284. 16p.

Subject Terms: *EIGENVALUES, *STOCHASTIC convergence, *MULTIPLICITY (Mathematics), *LINEAR systems, *SYSTEMS theory, *ALGORITHMS

Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities

Authors: Upadhyaya, Parikshit Jarlebring, Elias, Professor Corless, Robert, Professor

Contributors: Upadhyaya, Parikshit Jarlebring, Elias, Professor Corless, Robert, Professor

Source: TRITA-SCI-FOU.

Subject Terms: numerical algorithms, nonlinear eigenproblems, multiparameter eigenvalue problem, nonlinear eigenvalue problem, eigenvector nonlinearities, nepv, scf, p-laplacian, quasi-newton, Numerical Analysis, Numerisk analys

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-305196
https://kth.diva-portal.org/smash/get/diva2:1613910/FULLTEXT01.pdf

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

A Trace Minimization Algorithm for the Generalized Eigenvalue Problem: A trace minimization algorithm for the generalized eigenvalue problem

Authors: Ahmed H. Sameh John A. Wisniewski

Source: SIAM Journal on Numerical Analysis. 19:1243-1259

Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, smallest eigenvalues, large sparse generalized eigenvalue problem, inverse iteration, trace minimization algorithm, comparisons, 0101 mathematics, numerical experiments, 01 natural sciences, constrained optimization, rate of convergence

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/1982SJNA...19.1243S/abstract
https://locus.siam.org/doi/abs/10.1137/0719089
http://locus.siam.org/doi/abs/10.1137/0719089
https://epubs.siam.org/doi/pdf/10.1137/0719089

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

An algorithm for symmetric generalized inverse eigenvalue problems

Authors: Hua Dai

Source: Linear Algebra and its Applications. 296:79-98

Subject Terms: Inverse problems, Numerical Analysis, Gauss-Newton method, iterative algorithm, convergence, Algebra and Number Theory, QR-decomposition, Eigenvalue, Numerical solutions to inverse eigenvalue problems, inverse eigenvalue problem, numerical results, Inverse problems in linear algebra, 01 natural sciences, Least squares, QR-like decomposition, Gauss–Newton method, least squares approximation, Matrices over function rings in one or more variables, differentiable symmetric matrix-valued functions, Discrete Mathematics and Combinatorics, multiple eigenvalues, Geometry and Topology, 0101 mathematics

File Description: application/xml

Access URL: https://zbmath.org/1371435
https://doi.org/10.1016/s0024-3795(99)00109-3
http://www.sciencedirect.com/science/article/pii/S0024379599001093
https://www.sciencedirect.com/science/article/pii/S0024379599001093
https://www.sciencedirect.com/science/article/abs/pii/S0024379599001093

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

Authors: Kressner, Daniel Plestenjak, Bor

Source: BIT: Numerical Mathematics. Sep2024, Vol. 64 Issue 3, p1-27. 27p.

ON THE SOLVABILITY CONDITION AND NUMERICAL ALGORITHM FOR THE PARAMETERIZED GENERALIZED INVERSE EIGENVALUE PROBLEM.

Authors: HUA DAI ZHONG-ZHI BAI YING WEI

Source: SIAM Journal on Matrix Analysis & Applications. 2015, Vol. 36 Issue 2, p707-726. 20p.

Subject Terms: *ALGORITHMS, *PROBLEM solving, PARAMETERIZATION, EIGENVALUES, MATRICES (Mathematics)

A Tangent Algorithm for Computing the Generalized Singular Value Decomposition

Authors: Drmac, Zlatko

Source: SIAM Journal on Numerical Analysis, 1998 Oct 01. 35(5), 1804-1832.

Access URL: https://www.jstor.org/stable/2587275

Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion

Authors: Kukelova, Zuzana Byröd, Martin Josephson, Klas et al.

Contributors: Kukelova, Zuzana Byröd, Martin Josephson, Klas et al.

Source: Computer Vision and Image Understanding. 114(2):234-244

Subject Terms: Natural Sciences, Computer and Information Sciences, Computer graphics and computer vision, Naturvetenskap, Data- och informationsvetenskap (Datateknik), Datorgrafik och datorseende, Mathematical Sciences, Matematik

File Description: electronic

Access URL: https://lucris.lub.lu.se/ws/files/2084497/1276956.pdf

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

Authors: Kangal, Fatih Mengi, Emre

Source: IMA Journal of Numerical Analysis. Oct2020, Vol. 40 Issue 4, p2342-2376. 35p.

Subject Terms: *ALGORITHMS, *LINEAR systems

AN ALGORITHM FOR THE GENERALIZED EIGENVALUE PROBLEM FOR NONSQUARE MATRIX PENCILS BY MINIMAL PERTURBATION APPROACH.

Authors: SHINJI ITO KAZUO MUROTA

Source: SIAM Journal on Matrix Analysis & Applications; 2016, Vol. 37 Issue 1, p409-419, 11p

Subject Terms: EIGENVALUE equations, PERTURBATION theory, MATRICES (Mathematics), ROBUST control, OPERATOR equations (Quantum mechanics), MATHEMATICAL models

The generalized trust region subproblem: solution complexity and convex hull results.

Authors: Wang, Alex L. Kılınç-Karzan, Fatma

Source: Mathematical Programming. Feb2022, Vol. 191 Issue 2, p445-486. 42p.

Subject Terms: FUNCTION spaces, CONVEX functions, EIGENVALUES, MATRIX pencils

Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint.

Authors: Adachi, Satoru Nakatsukasa, Yuji

Source: Mathematical Programming. Jan2019, Vol. 173 Issue 1/2, p79-116. 38p.

Subject Terms: *ALGORITHMS, EIGENVALUES, QUADRATIC programming, SEMIDEFINITE programming, NUMERICAL analysis

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