In this poster, we briefly present some results on eigenvalue backward errors of matrix pencils and polynomials under structure preserving perturbations. We also present eigenvalue backward errors of real matrix pencils with respect to real perturbations that also preserve certain structures like symmetric, T-alternating and T-palindromic. Numerical results show that there is a significant difference between the backward errors with respect to perturbations that preserve structures and those with respect to arbitrary perturbations.

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Conference

Title: ScienceOpen Posters

Publisher: ScienceOpen

Publication date: July 7 2015

Author information

Punit Sharma https://orcid.org/0000-0001-7519-0521

Article

DOI: 10.14293/P2199-8442.1.SOP-MATH.PXEL4M.v1

SO-VID: 9a4b0fb4-e5ec-4b89-878e-2f96304ed053

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This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

Conference name: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory

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ScienceOpen disciplines: Mathematics

Keywords: Matrix polynomials, Hermitian matrix polynomial, structured eigenvalue backward error

Structured eigenvalue backward errors of matrix polynomials

Abstract