Palindromic quadratization and structure-preserving algorithm for palindromic matrix polynomials of even degree
Resource
Numerische Mathematik, 118(4), 713-735
Journal
Numerische Mathematik
Pages
713-735
Date Issued
2011
Date
2011
Author(s)
Huang, Tsung-Ming
Lin, Wen-Wei
Su, Wei-Shuo
Abstract
In this paper, we propose a palindromic quadratization approach, transforming a palindromic matrix polynomial of even degree to a palindromic quadratic pencil. Based on the (S + S-1)-transform and Patel's algorithm, the structure-preserving algorithm can then be applied to solve the corresponding palindromic quadratic eigenvalue problem. Numerical experiments show that the relative residuals for eigenpairs of palindromic polynomial eigenvalue problems computed by palindromic quadratized eigenvalue problems are better than those via palindromic linearized eigenvalue problems or polyeig in MATLAB. © 2011 Springer-Verlag.
Type
journal article
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