An optimum iteration for the matrix polar decomposition (Q1292261)
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scientific article; zbMATH DE number 1306001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An optimum iteration for the matrix polar decomposition |
scientific article; zbMATH DE number 1306001 |
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An optimum iteration for the matrix polar decomposition (English)
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21 June 1999
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The author shows that an acceleration parameter (derived from the Frobenius norm) makes Newton's iteration for the computation of the polar decomposition optimal and monotonic with respect to the associated norm. An application to full-rank rectangular matrices \(A\in \mathbb{R}^{m\times n}\) is also given.
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Newton iteration
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matrix polar decomposition
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full-rank rectangular matrices
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