70 lines
2.1 KiB
Markdown
70 lines
2.1 KiB
Markdown
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# FactorizationPLUGeTrid
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Computes an LU factorization of a general (non-symmetric) tridiagonal N-by-N matrix A using elimination with partial pivoting and row interchanges. The factorization has the form
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A = P * L * U
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where P is a permutation matrix, L is lower triangular with unit diagonal elements, and U is upper triangular. LAPACK function [GTTRF](https://www.intel.com/content/www/us/en/docs/onemkl/developer-reference-fortran/2025-2/gttrf.html).
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Computing for type matrix<double>
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```
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bool matrix::FactorizationPLUGeTrid(
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matrix& P, // permutation matrix P
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matrix& L, // lower triangular matrix L
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matrix& U // upper triangular matrix U
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);
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```
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Computing for type matrix<float>
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```
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bool matrix::FactorizationPLUGeTrid(
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matrixf& P, // permutation matrix P
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matrixf& L, // lower triangular matrix L
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matrixf& U // upper triangular matrix U
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);
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```
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Computing for type matrix<complex>
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```
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bool matrix::FactorizationPLUGeTrid(
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matrixc& P, // permutation matrix P
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matrixc& L, // lower triangular matrix L
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matrixc& U // upper triangular matrix U
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);
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```
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Computing for type matrix<complexf>
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```
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bool matrix::FactorizationPLUGeTrid(
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matrixcf& P, // permutation matrix P
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matrixcf& L, // lower triangular matrix L
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matrixcf& U // upper triangular matrix U
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);
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```
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Parameters
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P
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[out] Permutation matrix P.
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L
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[out] Lower triangular matrix L with unit diagonal elements.
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U
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[out] Upper triangular matrix U.
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Return Value
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Return true if successful, otherwise false in case of an [error](/en/docs/constants/errorswarnings/errorcodes).
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