Majorization bounds for SVD

DOI10.1007/s13160-018-0322-zzbMath1403.65019OpenAlexW2886567328WikidataQ129408852 ScholiaQ129408852MaRDI QIDQ1630232

Zhongming Teng, Xuansheng Wang

Publication date: 7 December 2018

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-018-0322-z

zbMATH Keywords

majorizationsingular valuesingular vector

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Uses Software

• PHSVDS

Cites Work

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• Bounding the spectrum of large Hermitian matrices
• A note on eigenvalues of perturbed Hermitian matrices
• Computing singular values of large matrices with an inverse-free preconditioned Krylov subspace method
• Cluster-robust accuracy bounds for Ritz subspaces
• A Jacobi--Davidson Type SVD Method
• A Refined Harmonic Lanczos Bidiagonalization Method and an Implicitly Restarted Algorithm for Computing the Smallest Singular Triplets of Large Matrices
• A Preconditioned Hybrid SVD Method for Accurately Computing Singular Triplets of Large Matrices
• Rayleigh–Ritz Majorization Error Bounds with Applications to FEM
• Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix
• Majorization and Singular Values II
• Calculating the Singular Values and Pseudo-Inverse of a Matrix

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