Polynomial approximation of functions of matrices and applications (Q1825596)
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scientific article; zbMATH DE number 4121305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomial approximation of functions of matrices and applications |
scientific article; zbMATH DE number 4121305 |
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Polynomial approximation of functions of matrices and applications (English)
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1989
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The author analyzes in some detail the use of polynomials for the approximation of general matrix functions f(A) (e.g. exp(A)). The approximation problem is treated by interpolating f(z) at an appropriate set of points which are known to have suitable consequences for the approximation process. Algorithmic aspects are discussed. Iterative algorithms for the solution of \(Ax=b\) are reinterpreted as polynomial approximations for \(f(A)=A^{-1}.\)
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matrix exponential
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matrix functions
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Iterative algorithms
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polynomial approximations
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0.9218241
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0.9189859
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0.91812617
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0.9173373
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0.9171387
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0.9128873
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0.90736616
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