1,086
views
0
recommends
+1 Recommend
2 collections
    42
    shares
      scite_
       
      • Record: found
      • Abstract: found
      • Poster: found
      Is Open Access

      Structured eigenvalue backward errors of matrix polynomials

      poster
        , , ,
      ScienceOpen Posters
      ScienceOpen
      Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
      Matrix polynomials, Hermitian matrix polynomial, structured eigenvalue backward error
      Bookmark

            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.

            Content

            Author and article information

            Conference
            ScienceOpen Posters
            ScienceOpen
            July 7 2015
            Author information
            https://orcid.org/0000-0001-7519-0521
            Article
            10.14293/P2199-8442.1.SOP-MATH.PXEL4M.v1
            9a4b0fb4-e5ec-4b89-878e-2f96304ed053

            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 .

            Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
            History

            Mathematics
            Matrix polynomials, Hermitian matrix polynomial, structured eigenvalue backward error

            Comments

            Comment on this article