Relative perturbation bounds for matrix eigenvalues and singular values

DOI10.1007/s40819-018-0568-9zbMath1402.65026OpenAlexW2896041015MaRDI QIDQ1627728

P. D. Srivastava, Arnab Patra

Publication date: 3 December 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-018-0568-9

zbMATH Keywords

eigenvaluesingular valueperturbation bounddiagonalizable matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

Computing high-index eigenvalues of singular Sturm-Liouville problems

Cites Work

• Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
• Two perturbation bounds for singular values and eigenvalues
• On weak solutions in elasticity of dipolar bodies with voids
• On some matrix inequalities.
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• Norms of certain matrices with applications to variations of the spectra of matrices and matrix pencils
• The variation of the spectrum of a normal matrix
• Über Normen von Matrizen
• The perturbation bounds for eigenvalues of normal matrices
• Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds
• Accurate Eigensystem Computations by Jacobi Methods
• Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices
• Some estimates for the eigenvalues of matrices
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