A solution of a nonlinear system arising in spectral perturbation theory of nonnegative matrices

DOI10.1016/S0024-3795(96)00154-1zbMath0882.65024OpenAlexW2064843668WikidataQ101371146 ScholiaQ101371146MaRDI QIDQ1359176

Hans Schneider, Uriel G. Rothblum

Publication date: 19 February 1998

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00154-1

zbMATH Keywords

algorithmeigenvectorspectral radiusnonnegative matricesspectral perturbationfractional power series expansions

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• Taylor expansions of eigenvalues of perturbed matrices with applications to spectral radii of nonnegative matrices
• Algebraic eigenspaces of nonnegative matrices
• On the singular graph and the Weyl characteristic of an M-matrix
• Perron-Frobenius theory over real closed fields and fractional power series expansions
• Derivatives and Perturbations of Eigenvectors
• Derivatives of the spectral radius as a function of non-negative matrix elements
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