Year: 2015
Type: other
Abstract: 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.
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W2339849624