Deflating quadratic matrix polynomials with structure preserving transformations

DOI10.1016/j.laa.2010.06.028zbMath1235.15010OpenAlexW2046699774MaRDI QIDQ541912

Seamus D. Garvey, Françoise Tisseur, Christopher Munro

Publication date: 8 June 2011

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

Full work available at URL: http://eprints.maths.manchester.ac.uk/1242/1/paper7.pdf

zbMATH Keywords

linearizationdeflationquadratic eigenvalue problemquadratic matrixstructure preserving transformation

Mathematics Subject Classification ID

Related Items (5)

Hermitian matrix polynomials with real eigenvalues of definite type. I: Classification ⋮ A ``shift-and-deflate technique for quadratic matrix polynomials ⋮ A parametrization of structure-preserving transformations for matrix polynomials ⋮ A modified second-order Arnoldi method for solving the quadratic eigenvalue problems ⋮ Decoupling of cubic polynomial matrix systems

Uses Software

• NLEVP

Cites Work

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• Vector Spaces of Linearizations for Matrix Polynomials
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