A modified Leverrier-Faddeev algorithm for matrices with multiple eigenvalues

DOI10.1016/0024-3795(80)90206-2zbMath0435.65028OpenAlexW2022096312MaRDI QIDQ1140405

John C. Gower

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90206-2

zbMATH Keywords

eigenvectorscharacteristic equationminimal polynomialreflexive generalized inversemultiple eigenvaluessimple eigenvaluesLeverrier algorithmeigenvectors corresponding to multiple eigenvalues

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (8)

The Faddeev-LeVerrier algorithm and the Pfaffian ⋮ Skew symmetry in retrospect ⋮ Finite algorithms for the (2)-generalized inverse ⋮ On the modified Leverrier-Faddeev algorithm ⋮ An application of the modified Leverrier-Faddeev algorithm to the spectral decomposition of symmetric block-circulant matrices ⋮ DFT calculation for the \(\{2\}\)-inverse of a polynomial matrix with prescribed image and kernel ⋮ Forest matrices around the Laplacian matrix ⋮ An alternative limit expression of Drazin inverse and its application

Cites Work

• An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
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