A limit result concerning the QR factorization of banded Toeplitz matrices

Research output: Contribution to journalArticle

Abstract

This note is concerned with the QR factorization of a banded Toeplitz matrix of large order and relatively small bandwidth. We investigate the asymptotic behavior of the main diagonal entries of the R factor when the matrix dimension goes to infinity.

Original languageEnglish
Pages (from-to)41-44
Number of pages4
JournalLinear Algebra and Its Applications
Volume405
Issue number1-3
DOIs
Publication statusPublished - Aug 1 2005

Fingerprint

Banded Matrix
QR Factorization
Toeplitz matrix
Factorization
Asymptotic Behavior
Bandwidth
Infinity

Keywords

  • Banded Toeplitz matrix
  • QR factorization
  • Toeplitz determinant

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis

Cite this

A limit result concerning the QR factorization of banded Toeplitz matrices. / Karaa, Samir.

In: Linear Algebra and Its Applications, Vol. 405, No. 1-3, 01.08.2005, p. 41-44.

Research output: Contribution to journalArticle

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