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

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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

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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