78 lines
2.5 KiB
Markdown
78 lines
2.5 KiB
Markdown
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# FactorizationPLUQ
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Computes an LU factorization of a general N-by-N matrix A with complete pivoting (row and column interchanges). The factorization has the form
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A = P * L * U * Q
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where P is a rows permutation matrix, L is lower triangular with unit diagonal elements, U is upper triangular, and Q is a columns permutation matrix. LAPACK function [GETC2](https://www.intel.com/content/www/us/en/docs/onemkl/developer-reference-fortran/2025-2/getc2.html).
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Computing for type matrix<double>
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```
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bool matrix::FactorizationPLUQ(
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matrix& P, // rows 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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matrix& Q // cols permutation matrix Q
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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 matrixf::FactorizationPLUQ(
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matrixf& P, // rows 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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matrixf& Q // cols permutation matrix Q
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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 matrixc::FactorizationPLUQ(
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matrixc& P, // rows 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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matrixc& Q // cols permutation matrix Q
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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 matrixcf::FactorizationPLUQ(
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matrixcf& P, // rows 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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matrixcf& Q // cols permutation matrix Q
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);
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```
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Parameters
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P
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[out] Rows 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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Q
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[out] Cols permutation matrix Q.
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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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