74 lines
2.5 KiB
Markdown
74 lines
2.5 KiB
Markdown
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# FactorizationPLUQRaw
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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::FactorizationPLUQRaw(
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matrix& AF, // factored matrix A
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long[]& ipiv, // pivot indices array
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long[]& jpiv // pivot indices array
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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::FactorizationPLUQRaw(
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matrixf& AF, // factored matrix A
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long[]& ipiv, // pivot indices array
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long[]& jpiv // pivot indices array
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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::FactorizationPLUQRaw(
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matrixc& AF, // factored matrix A
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long[]& ipiv, // pivot indices array
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long[]& jpiv // pivot indices array
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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::FactorizationPLUQRaw(
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matrixcf& AF, // factored matrix A
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long[]& ipiv, // pivot indices array
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long[]& jpiv // pivot indices array
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);
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```
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Parameters
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AF
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[out] Factored matrix A. The factors L and U from the factorization A = P*L*U*Q; the unit diagonal elements of L are not stored.
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ipiv
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[out] Pivot indices array of size N; row i of the matrix A was interchanged with row ipiv[i].
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jpiv
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[out] Pivot indices array of size N; column j of the matrix A was interchanged with column jpiv[j].
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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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Note
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Matrix AF and pivot indices arrays ipiv[] and jpiv[] are raw output of the GETC2 function and can be used for further calculations with method [PLUQLinearEquationsSolution](/en/docs/matrix/openblas/factored_calculations/pluqlinearequationssolution).
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