A General Matrix Eigenvalue Algorithm

DOI10.1137/0712061zbMath0321.65023OpenAlexW2099769673MaRDI QIDQ4082940

Charles F. Van Loan

Publication date: 1975

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0712061

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (17)

Evaluating products of matrix pencils and collapsing matrix products ⋮ Methods and algorithms of solving spectral problems for polynomial and rational matrices ⋮ Decay chain differential equations: solutions through matrix analysis ⋮ Parallel reduction of four matrices to condensed form for a generalized matrix eigenvalue algorithm ⋮ Matrix pencils: Theory, applications, and numerical methods ⋮ Propagation of perturbations in the initial value along solutions of linear ODEs: a componentwise relative error analysis ⋮ A Jacobi-Davidson type method for the product eigenvalue problem ⋮ To solving the eigenvalue problem for polynomial matrices of general form ⋮ A periodic Krylov-Schur algorithm for large matrix products ⋮ The periodic QR algorithm is a disguised QR algorithm ⋮ Structured Eigenvalue Problems ⋮ Calculation of transmission zeros using QZ techniques ⋮ News Algorithms for tensor decomposition based on a reduced functional ⋮ Computing the CS decomposition of a partitioned orthonormal matrix ⋮ Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian ⋮ Alternating implicit and semi-implicit iterations in the periodic QZ algorithm ⋮ The generalized singular value decomposition and the general (A-\(\lambda\) B)-problem

This page was built for publication: A General Matrix Eigenvalue Algorithm