The Moore-Penrose pseudoinverse of an arbitrary, square, k-circulant matrix

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

In 1974. Cline, Plemmons and Worm showed that A† is a k-circulant matrix if and only if A is k-circulant with |k| = 1. However they left open the nature of A† when |k| ≠ 1. We present a simple derivation of the Moore-Penrose pseudoinverse of an arbitrary, square, k-circulant matrix.

Original languageEnglish (US)
Pages (from-to)175-179
Number of pages5
JournalLinear and Multilinear Algebra
Volume50
Issue number2
DOIs
StatePublished - Jun 1 2002

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Circulant Matrix
Pseudo-inverse
Worm
Arbitrary
If and only if

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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title = "The Moore-Penrose pseudoinverse of an arbitrary, square, k-circulant matrix",
abstract = "In 1974. Cline, Plemmons and Worm showed that A† is a k-circulant matrix if and only if A is k-circulant with |k| = 1. However they left open the nature of A† when |k| ≠ 1. We present a simple derivation of the Moore-Penrose pseudoinverse of an arbitrary, square, k-circulant matrix.",
author = "Eugene Boman",
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The Moore-Penrose pseudoinverse of an arbitrary, square, k-circulant matrix. / Boman, Eugene.

In: Linear and Multilinear Algebra, Vol. 50, No. 2, 01.06.2002, p. 175-179.

Research output: Contribution to journalArticle

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