Perturbation Bounds for Determinants and Characteristic Polynomials

DOI10.1137/070704770zbMath1186.15018OpenAlexW2089637645MaRDI QIDQ3624867

Ilse C. F. Ipsen, Rizwana Rehman

Publication date: 30 April 2009

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

Full work available at URL: https://doi.org/10.1137/070704770

zbMATH Keywords

eigenvaluescondition numbercharacteristic polynomialdeterminantsingular valuesnormal matricesperturbation boundselementary symmetric functionsHermitian positive-definite

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

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