The generalized Moore-Penrose inverse

K. Manjunatha Prasad; R. B. Bapat

doi:10.1016/0024-3795(92)90229-4

The generalized Moore-Penrose inverse

K. Manjunatha Prasad, R. B. Bapat

Department of Data Science, Manipal

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

47 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 language	English
Pages (from-to)	59-69
Number of pages	11
Journal	Linear Algebra and Its Applications
Volume	165
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(92)90229-4
Publication status	Published - 01-03-1992

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis

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The generalized Moore-Penrose inverse

Abstract

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