Researches on inverse order rule for weighted generalized inverse (Q2721780)
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scientific article; zbMATH DE number 1616518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Researches on inverse order rule for weighted generalized inverse |
scientific article; zbMATH DE number 1616518 |
Statements
2 April 2002
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generalized inverse
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singular matrix
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least squares problem
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weighted perturbation theory
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inverse order law
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weighted trust region approach
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Researches on inverse order rule for weighted generalized inverse (English)
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The authors investigate the inverse order law of a weighted generalized inverse which is met in their research of the weighted trust region approach for optimization problems. In particular they give some necessary and sufficient condition for the inverse order rule of a weighted generalized inverse. Moreover they apply the inverse order rule for the weighted generalized inverse to the generalized least squares problem and to the weighted perturbation theory of a singular matrix.
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