On the convergence of infinite products of matrices (Q1075405)
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scientific article; zbMATH DE number 3950737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of infinite products of matrices |
scientific article; zbMATH DE number 3950737 |
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On the convergence of infinite products of matrices (English)
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1986
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The main result: The implication \((\sum \| A_ i\|\) converges \(\Rightarrow \prod (U_ i+A_ i)\) converges) is true if and only if \(\forall r\prod^{\infty}_{i=r}(U_ i+A_ i)\) converges. Here \(A_ i\), \(U_ i\) are \(n\times n\) complex matrices, \(\| U_ i\| =1\). An application to stochastic matrices is given.
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summable matrices
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convergence
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infinite products of matrices
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