The generalized Moore-Penrose inverse

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

We define the generalized Moore-Penrose inverse and give necessary and sufficient conditions for its existence over an integral domain. We also prove its uniqueness and give a formula for it which leads us towards a "generalized Cramer's rule" to find the generalized Moore-Penrose solution.

Original languageEnglish
Pages (from-to)59-69
Number of pages11
JournalLinear Algebra and Its Applications
Volume165
Issue numberC
DOIs
Publication statusPublished - 01-03-1992

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Cramer's rule
Moore-Penrose Generalized Inverse
Integral domain
Uniqueness
Necessary Conditions
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Numerical Analysis

Cite this

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title = "The generalized Moore-Penrose inverse",
abstract = "We define the generalized Moore-Penrose inverse and give necessary and sufficient conditions for its existence over an integral domain. We also prove its uniqueness and give a formula for it which leads us towards a {"}generalized Cramer's rule{"} to find the generalized Moore-Penrose solution.",
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The generalized Moore-Penrose inverse. / Manjunatha Prasad, K.; Bapat, R. B.

In: Linear Algebra and Its Applications, Vol. 165, No. C, 01.03.1992, p. 59-69.

Research output: Contribution to journalArticle

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