The Moore-Penrose inverses of \(m\times n\) block matrices and their applications (Q1124730)
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scientific article; zbMATH DE number 1370989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Moore-Penrose inverses of \(m\times n\) block matrices and their applications |
scientific article; zbMATH DE number 1370989 |
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The Moore-Penrose inverses of \(m\times n\) block matrices and their applications (English)
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28 November 1999
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Expressions for the Moore-Penrose inverse of an \(m\times n\) block matrix \(M\) which satisfies rank additivity conditions are developed. All matrices are over the complex number field. First the expressions for a \(2\times 2\) block matrix are derived. Then the results are extended to a general block matrix. A set of formulas is written for representing the Moore-Penrose inverses of matrix sums. The duality between the Moore-Penrose inverses of block matrices is illustrated. Applications are given.
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Moore-Penrose inverse
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block matrix
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matrix sums
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duality
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