An inversion algorithm for general tridiagonal matrix (Q1016194)
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scientific article; zbMATH DE number 5550592
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inversion algorithm for general tridiagonal matrix |
scientific article; zbMATH DE number 5550592 |
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An inversion algorithm for general tridiagonal matrix (English)
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4 May 2009
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The authors propose an algorithm for the inverse of a general tridiagonal matrix. The algorithm first computes an \textit{LU} factorization of the matrix and then uses the special structure of the inverses of \textit{L} and \textit{U} for computing the elements of the inverse. The computational cost is \(n^2+5n-5\).
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Tridiagonal matrix
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inverse
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Doolittle factorization
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algorithm
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\textit{LU} factorization
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