Definite Matrix Polynomials and their Linearization by Definite Pencils

DOI10.1137/080721406zbMath1232.65059OpenAlexW2101137939MaRDI QIDQ3561168

Françoise Tisseur, Nicholas J. Higham, D. Steven Mackey

Publication date: 25 May 2010

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/1266/1/SML000478-1.pdf

zbMATH Keywords

quadratic eigenvalue problemmatrix polynomialmatrix pencilpolynomial eigenvalue problemdefinite pencilhyperbolic matrix polynomialHermitian matrix polynomialsstructure-preserving linearization

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

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Uses Software

• mctoolbox