On rational calculation of the invariant subspaces of a complex matrix (Q1608263)
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scientific article; zbMATH DE number 1779324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On rational calculation of the invariant subspaces of a complex matrix |
scientific article; zbMATH DE number 1779324 |
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On rational calculation of the invariant subspaces of a complex matrix (English)
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16 October 2002
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An elementary linear-algebraic explanation is proposed for the recently discovered fact that the sum of the eigenspaces of a nondiagonalizable complex matrix can be determined by a rational algorithm, i.e., by a procedure involving only a finite number of arithmetic operations. This assertion turns out to be a special case of a more general fact that also makes it possible to calculate other invariant subspaces of a matrix.
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eigenvectors
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invariant subspace
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rational algorithm
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complex matrix
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