Accurate Factorization and Eigenvalue Algorithms for Symmetric DSTU and TSC Matrices

DOI10.1137/050631537zbMath1132.65029OpenAlexW2028509157MaRDI QIDQ5422466

Julio Moro, María José Peláez

Publication date: 22 October 2007

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050631537

zbMATH Keywords

high relative accuracystructured matricessymmetric eigenproblemrank-revealing decompositiondiagonally scaled totally unimodularMatlab algorithms for the factorizationtotal signed compound

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (8)

Factoring symmetric totally nonpositive matrices and inverses with a diagonal pivoting method ⋮ A periodic qd-type reduction for computing eigenvalues of structured matrix products to high relative accuracy ⋮ Accurate computation of eigenvalues of generalized sign regular quasi-Said-Ball-Vandermonde matrices ⋮ Computing singular value decompositions of parameterized matrices with total nonpositivity to high relative accuracy ⋮ Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices ⋮ Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices ⋮ Implicit standard Jacobi gives high relative accuracy ⋮ Computing eigenvalues of quasi-generalized Vandermonde matrices to high relative accuracy

Uses Software

• Matlab

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