The Moore-Penrose inverse of a factorization (Q1405040)
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scientific article; zbMATH DE number 1970621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Moore-Penrose inverse of a factorization |
scientific article; zbMATH DE number 1970621 |
Statements
The Moore-Penrose inverse of a factorization (English)
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25 August 2003
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Let \(A\) be a von Neumann regular matrix (i.e., \(AXA= A\) is solvable), and let \(P\), \(Q\) be given. Assume that there exist \(P'\) and \(Q'\) such that \(P'PA= A= AQQ'\). Necessary and sufficient conditions are given in order to \(PAQ\) be Moore-Penrose invertible, generalizing previous results.
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matrices over rings
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von Neumann regularity
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Moore-Penrose invertibility
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factorization
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separative regular rings
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