A singular value decomposition algorithm based on solving hyperplane constrained nonlinear systems (Q969142)
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scientific article; zbMATH DE number 5707057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A singular value decomposition algorithm based on solving hyperplane constrained nonlinear systems |
scientific article; zbMATH DE number 5707057 |
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A singular value decomposition algorithm based on solving hyperplane constrained nonlinear systems (English)
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11 May 2010
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The authors propose a new algorithm for the singular value decomposition (SVD) based on solving nonlinear systems whose solutions are constrained on hyperplanes with the help of Newton's iterative method, and prove that the SVD algorithm has quadratic convergence. Finally, they give some numerical examples to confirm these facts.
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singular value decomposition
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Newton's iterative method
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nonlinear system
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hyperplane
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quadratic convergence
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algorithm
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numerical examples
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