Relative Perturbation Theory for Diagonally Dominant Matrices

DOI10.1137/130943613zbMath1317.15019OpenAlexW1984921424MaRDI QIDQ5246482

Megan Dailey, Froilán M. Dopico, Qiang Ye

Publication date: 21 April 2015

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

Full work available at URL: http://hdl.handle.net/10016/22068

zbMATH Keywords

linear systemseigenvaluessingular valuesinversesdiagonally dominant matricesrelative perturbation theory

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Theory of matrix inversion and generalized inverses (15A09) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05) Conditioning of matrices (15A12)

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