On the spectral radius of a bi-infinite periodic and slanted matrix (Q1281263)
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scientific article; zbMATH DE number 1267191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the spectral radius of a bi-infinite periodic and slanted matrix |
scientific article; zbMATH DE number 1267191 |
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On the spectral radius of a bi-infinite periodic and slanted matrix (English)
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22 March 1999
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It is demonstrated that the spectral radius of a slanted periodic bi-infinite matrix \(\sigma_2(A)\) is the square root of the spectral radius of a finite matrix, \(\sigma_2(A)= (\rho(T))^{1/2}\). It is explained, how to obtain \(T\) from the matrix \(A\). A bi-infinite matrix \(A\) gives rise to a vector subdivision operator.
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spectral radius
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slanted periodic bi-infinite matrix
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vector subdivision operator
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