On the reduction of matrix polynomials to Hessenberg form

DOI10.13001/1081-3810.3011zbMath1341.15016OpenAlexW2404150775MaRDI QIDQ2813061

Thomas R. Cameron

Publication date: 14 June 2016

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4630d450019a7e6f252948dee78aa243883e5070

zbMATH Keywords

invariant subspacedeterminantmatrix polynomialKrylov subspaceHessenberg matrixself-adjointpolynomial eigenvalue problemArnoldi

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (1)

Reduction of Matrix Polynomials to Simpler Forms

Cites Work

• Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method
• Krylov type subspace methods for matrix polynomials
• Triangularizing matrix polynomials
• Triangularizing Quadratic Matrix Polynomials
• Some Perspectives on the Eigenvalue Problem
• Matrix Polynomials
• Hyman's Method Applied to the General Eigenvalue Problem
• Locating the Eigenvalues of Matrix Polynomials
• Numerical Methods for the Tridiagonal Hyperbolic Quadratic Eigenvalue Problem

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