Upper triangularization of matrices by lower triangular similarities (Q1103026)
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scientific article; zbMATH DE number 4051808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Upper triangularization of matrices by lower triangular similarities |
scientific article; zbMATH DE number 4051808 |
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Upper triangularization of matrices by lower triangular similarities (English)
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1988
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We say that A admits upper triangularization by a lower triangular similarity, if there exists an invertible lower triangular matrix such that \(S^{-1}AS\) is upper triangular. Several sufficient conditions for such an S to exist are given. There is a connection with the problem of complete factorization of a transfer function and the problem of complementary triangularization of pairs of matrices.
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minimal factorization
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triangular similarity
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complete factorization
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transfer function
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complementary triangularization
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pairs of matrices
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