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

Eugene C. Boman

doi:10.1080/03081080290019559

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

Eugene C. Boman

School of Science, Engineering & Technology (Harrisburg)

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

17 Scopus citations

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 language	English (US)
Pages (from-to)	175-179
Number of pages	5
Journal	Linear and Multilinear Algebra
Volume	50
Issue number	2
DOIs	https://doi.org/10.1080/03081080290019559
State	Published - Jun 2002

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/03081080290019559

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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.",

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AU - Boman, Eugene C.

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N2 - 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.

AB - 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.

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UR - https://www.scopus.com/pages/publications/0036622719#tab=citedBy

U2 - 10.1080/03081080290019559

DO - 10.1080/03081080290019559

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SN - 0308-1087

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EP - 179

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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