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
algorithmeigenvectorspectral radiusnonnegative matricesspectral perturbationfractional power series expansions
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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