Bhattacharyya's matrix theorem (Q1932574)
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scientific article; zbMATH DE number 6127318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bhattacharyya's matrix theorem |
scientific article; zbMATH DE number 6127318 |
Statements
Bhattacharyya's matrix theorem (English)
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21 January 2013
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The author proves the following result: Let \(M\) be any \((2n+1)\times(2n+1)\) real matrix. Then one can write \(M=\lambda I + N + S\), where \(\lambda\) is a scalar, \(N\) has rank \(\leqslant n\), and \(S\) is skew. For \(n=1\), this result was first stated in 1920 in the thesis of Durgaprasanna Bhattacharyya.
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real matrix
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decomposition
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