Explicit factorization of the Vandermonde matrix (Q1583719)
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scientific article; zbMATH DE number 1523264
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit factorization of the Vandermonde matrix |
scientific article; zbMATH DE number 1523264 |
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Explicit factorization of the Vandermonde matrix (English)
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20 April 2001
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The authors give factorizations of the Vandermonde matrix using symmetric functions. First they achieve an \(LU\) factorization where \(L\) is lower triangular with units on its main diagonal and \(U\) is upper triangular. Then \(L\) is factorized into \(n\) \(1\)-lower banded matrices and \(U\) is factorized into \(n\) \(1\)-upper banded matrices.
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Vandermonde matrix
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symmetric function
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triangular and \(1\)-banded factorization
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\(LU\) factorization
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