On spectral variation of a nonnormal matrix

DOI10.1016/0024-3795(82)90151-3zbMath0479.15010OpenAlexW1963704499MaRDI QIDQ1161579

Er-Xiong Jiang

Publication date: 1982

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90151-3

zbMATH Keywords

perturbationspectrummatrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (4)

An upper bound for the spectral condition number of a diagonalizable matrix ⋮ Inverse spectral problem for pseudo-Jacobi matrices with partial spectral data ⋮ Challenging eigenvalue perturbation problems ⋮ Bounds for the smallest singular value of a Jordan block with an application to eigenvalue perturbation

Cites Work

• Mathematische Miszellen XXVII. Über die Stetigkeit von charakteristischen Wurzeln in Abhängigkeit von den Matrizenelementen
• Norms and exclusion theorems
• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• On the rate of change of spectra of operators
• Residual Bounds on Approximate Eigensystems of Nonnormal Matrices
• Analysis of Spectral Variation and Some Inequalities

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