A limit result concerning the QR factorization of banded Toeplitz matrices

Samir Karaa

doi:10.1016/j.laa.2005.03.031

A limit result concerning the QR factorization of banded Toeplitz matrices

Samir Karaa^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	41-44
Number of pages	4
Journal	Linear Algebra and Its Applications
Volume	405
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2005.03.031
Publication status	Published - Aug 1 2005

Keywords

Banded Toeplitz matrix
QR factorization
Toeplitz determinant

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2005.03.031

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A limit result concerning the QR factorization of banded Toeplitz matrices

Abstract

Keywords

ASJC Scopus subject areas

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