A note on backward perturbations for the Hermitian eigenvalue problem

DOI10.1007/BF01732611zbMath0841.65023OpenAlexW2063843180MaRDI QIDQ1904277

Ji-guang Sun

Publication date: 19 December 1995

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01732611

zbMATH Keywords

eigenvectorsorthogonal decompositionsHermitian eigenvalue problemoptimal Hermitian backward perturbations

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items

On the estimation of numerical error bounds in linear algebra based on discrete stochastic arithmetic ⋮ Time-stepping and preserving orthonormality ⋮ Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem

Uses Software

• IPSEN

Cites Work

• Perturbation bounds for the Cholesky and QR factorizations
• Backward perturbation analysis of certain characteristic subspaces
• Backward errors for eigenvalue and singular value decompositions
• Computing the Polar Decomposition—with Applications
• Laguere’s Method and a Circle which Contains at Least One Zero of a Polynomial
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