A note on inversion of Toeplitz matrices

نویسندگان

  • Xiao-Guang Lv
  • Ting-Zhu Huang
چکیده

It is shown that the invertibility of a Toeplitz matrix can be determined through the solvability of two standard equations. The inverse matrix can be denoted as a sum of products of circulant matrices and upper triangular Toeplitz matrices. The stability of the inversion formula for a Toeplitz matrix is also considered. c © 2007 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2007