Remarks on Lipschitz properties of matrix groups actions (Q627953)
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scientific article; zbMATH DE number 5860480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on Lipschitz properties of matrix groups actions |
scientific article; zbMATH DE number 5860480 |
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Remarks on Lipschitz properties of matrix groups actions (English)
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4 March 2011
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The author shows that a large class of matrix group actions (including joint similarity and congruence-like actions, as well as actions of the type of matrix equivalence) have a local Lipschitz property and (under additional hypotheses) a global Lipschitz property. The main result is applied to obtain a local Lipschitz property of canonical bases of selfadjoint matrices with respect to an indefinite inner product.
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joint similarity
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joint congruence
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Lipschitz property
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canonical bases
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matrix group actions
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matrix equivalence
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selfadjoint matrices
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indefinite inner product
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