Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\) (Q1090068)
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scientific article; zbMATH DE number 4007572
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\) |
scientific article; zbMATH DE number 4007572 |
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Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\) (English)
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1987
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The algebraic eigenvalue problem \(Ax=\lambda Bx\) is regarded as a system of polynomial equations. Homotopy methods for its solution are studied, and it is shown that n continuous homotopy curves, each leading to a different eigensolution, can be found, provided that the starting approximations are taken from a certain (unknown) dense open set.
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algebraic eigenvalue problem
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Homotopy methods
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eigensolution
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0.9333084
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0.9037758
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0.9024248
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0.90151966
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0.89641887
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