Periodicity of infinite products of matrices with some negative elements and row sums equal to one (Q1200574)
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scientific article; zbMATH DE number 95496
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodicity of infinite products of matrices with some negative elements and row sums equal to one |
scientific article; zbMATH DE number 95496 |
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Periodicity of infinite products of matrices with some negative elements and row sums equal to one (English)
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16 January 1993
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The authors study the problem of periodicity of the infinite product of \(V\)-matrices with some negative elements and row sum equal to one. It is proved that under certain conditions an infinite product of \(V\)-matrices splits into a number of subsequences for which the limits exist and the rate of convergence is geometric. Using some properties of generalized inverses a method for finding these limits is developed. Finally the presented results are illustrated by means of an example.
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periodicity
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infinite product
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\(V\)-matrices
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convergence
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generalized inverses
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