Structured backward error for palindromic polynomial eigenvalue problems

Ren Cang Li, Wen Wei Lin, Chern Shuh Wang

研究成果: Article同行評審

11 引文 斯高帕斯(Scopus)


A detailed structured backward error analysis for four kinds of palindromic polynomial eigenvalue problems (PPEP). where * is one of the two actions: transpose and conjugate transpose, and ε ∈ {±1}.Each of them has its application background with the case * taking transpose and ε = 1 attracting a great deal of attention lately because of its application in the fast train modeling. Computable formulas and bounds for the structured backward errors are obtained. The analysis reveals distinctive features of PPEP from general polynomial eigenvalue problems (PEP) investigated by Tisseur (Linear Algebra Appl 309:339-361, 2000) and by Liu and Wang (Appl Math Comput 165:405-417, 2005).

頁(從 - 到)95-122
期刊Numerische Mathematik
出版狀態Published - 2010 三月 23

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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