The common invariant subspace problem: an approach via Gröbner bases (Q1827474)
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scientific article; zbMATH DE number 2083488
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The common invariant subspace problem: an approach via Gröbner bases |
scientific article; zbMATH DE number 2083488 |
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The common invariant subspace problem: an approach via Gröbner bases (English)
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6 August 2004
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The authors show how the problem of existence of a common eigenvector for a given finite set of \(n\times n\) matrices can be formulated in the language of affine varieties via Gröbner bases. No proofs are given. Instead of the proof a sketch of the algorithm for determining the number of maximal common eigenspaces of a given dimension is presented.
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Eigenvector
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Invariant subspace
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Grassmann variety
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Gröbner basis
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Algorithm
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