A new extension of Leverrier's algorithm

DOI10.1016/0024-3795(93)90533-TzbMath0782.65062MaRDI QIDQ1210398

Yuhua Lin, Guo-rong Wang

Publication date: 8 August 1993

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

zbMATH Keywords

inversematrix polynomialLeverrier's algorithm

Mathematics Subject Classification ID

Related Items (7)

The Faddeev-LeVerrier algorithm and the Pfaffian ⋮ Advances in Differential Equations and Control Processes Volume 22, Issue 1, Pages 23 - 38 (February 2020) http://dx.doi.org/10.17654/DE022010023 SOLUTION OF SPRING-MASS SYSTEM BY USING FADDEEV-LEVERRIER METHOD TOGETHER WITH LAPLACE TRANSFORM ⋮ Leverrier-Chebyshev algorithm for the singular pencils ⋮ A finite algorithm for generalized inverses of polynomial and rational matrices ⋮ Computing generalized inverses of a rational matrix and applications ⋮ A finite algorithm for the Drazin inverse of a polynomial matrix ⋮ An alternative limit expression of Drazin inverse and its application

Cites Work

• A finite algorithm for computing the weighted Moore-Penrose inverse \(A^ +_{MN}\)
• Block eigenvalues of block compound matrices
• Leverrier's algorithm for singular systems
• Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil<tex>(sE - A)</tex>
• Leverrier’s Algorithm: A New Proof and Extensions
• An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
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