QX factorization of centrosymmetric matrices

A. Steele; J. Yalim; Bruno Welfert

doi:10.1016/j.apnum.2018.06.006

QX factorization of centrosymmetric matrices

A. Steele, J. Yalim, Bruno Welfert

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

2 Scopus citations

Abstract

We show how the factorization A=QX, introduced in Burnik (2015) [2], of a real centrosymmetric m×n matrix A into a centrosymmetric orthogonal m×m matrix Q and a centrosymmetric m×n matrix X with a double-cone structure can be directly obtained via standard QR factorizations of two matrices about half the size of A. Examples and a MATLAB code are included.

Original language	English (US)
Pages (from-to)	11-16
Number of pages	6
Journal	Applied Numerical Mathematics
Volume	134
DOIs	https://doi.org/10.1016/j.apnum.2018.06.006
State	Published - Dec 2018

Keywords

Centrosymmetry
QR factorization

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/j.apnum.2018.06.006

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title = "QX factorization of centrosymmetric matrices",

abstract = "We show how the factorization A=QX, introduced in Burnik (2015) [2], of a real centrosymmetric m×n matrix A into a centrosymmetric orthogonal m×m matrix Q and a centrosymmetric m×n matrix X with a double-cone structure can be directly obtained via standard QR factorizations of two matrices about half the size of A. Examples and a MATLAB code are included.",

keywords = "Centrosymmetry, QR factorization",

author = "A. Steele and J. Yalim and Bruno Welfert",

year = "2018",

month = dec,

doi = "10.1016/j.apnum.2018.06.006",

language = "English (US)",

volume = "134",

pages = "11--16",

journal = "Applied Numerical Mathematics",

issn = "0168-9274",

publisher = "Elsevier",

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TY - JOUR

T1 - QX factorization of centrosymmetric matrices

AU - Steele, A.

AU - Yalim, J.

AU - Welfert, Bruno

PY - 2018/12

Y1 - 2018/12

N2 - We show how the factorization A=QX, introduced in Burnik (2015) [2], of a real centrosymmetric m×n matrix A into a centrosymmetric orthogonal m×m matrix Q and a centrosymmetric m×n matrix X with a double-cone structure can be directly obtained via standard QR factorizations of two matrices about half the size of A. Examples and a MATLAB code are included.

AB - We show how the factorization A=QX, introduced in Burnik (2015) [2], of a real centrosymmetric m×n matrix A into a centrosymmetric orthogonal m×m matrix Q and a centrosymmetric m×n matrix X with a double-cone structure can be directly obtained via standard QR factorizations of two matrices about half the size of A. Examples and a MATLAB code are included.

KW - Centrosymmetry

KW - QR factorization

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U2 - 10.1016/j.apnum.2018.06.006

DO - 10.1016/j.apnum.2018.06.006

M3 - Article

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VL - 134

SP - 11

EP - 16

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

ER -

QX factorization of centrosymmetric matrices

Abstract

Keywords

ASJC Scopus subject areas

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