• Title of article

    A fast algorithm for computing the pseudospectra of Toeplitz matrices

  • Author/Authors

    Wang، نويسنده , , Zhengsheng and Liu، نويسنده , , Chuntao and Li، نويسنده , , Yuanjun، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2013
  • Pages
    5
  • From page
    184
  • To page
    188
  • Abstract
    The concept of pseudospectra was introduced by Trefethen during the 1990s and became a popular tool to explain the behavior of non-normal matrices. In this paper, we propose a fast algorithm for computing the pseudospectra of Toeplitz matrices by using fast Toeplitz QR factorization. Numerical experiments are given to illustrate the efficiency of the new algorithm.
  • Keywords
    Pseudospectra , Toeplitz matrices , QR factorization , SVD , Lanczos iteration
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2013
  • Journal title
    Applied Mathematics Letters
  • Record number

    1528831

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1528831