Globally analytic triangularization of a matrix function (Q1187384)
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scientific article; zbMATH DE number 39259
| Language | Label | Description | Also known as |
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| English | Globally analytic triangularization of a matrix function |
scientific article; zbMATH DE number 39259 |
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Globally analytic triangularization of a matrix function (English)
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23 July 1992
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The well known matrix triangularization procedure is extended to matrix functions. The authors prove that if \(A(t)\) is an \(n\times n\) analytic matrix function in an interval \([a,b]\), then there exists a unitary matrix \(U(t)\) analytic in \([a,b]\) such that \(U^*(t)A(t)U(t)\) is triangular.
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Gram-Schmidt orthogonalization
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similarity transformation
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canonical transformations
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matrix triangularization
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analytic matrix function
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