76 lines
2.3 KiB
Markdown
76 lines
2.3 KiB
Markdown
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# FactorizationQL
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Computes the QL factorization of a general m-by-n matrix: A = Q * L. LAPACK function [GEQLF](https://www.intel.com/content/www/us/en/docs/onemkl/developer-reference-fortran/2025-2/geqlf.html).
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Computing for type matrix<double>
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```
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bool matrix::FactorizationQL(
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bool reduced, // calculation mode reduced or complete
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matrix& Q, // orthogonal matrix Q
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matrix& L // lower triangular matrix L
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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::FactorizationQL(
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bool reduced, // calculation mode reduced or complete
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matrixf& Q, // orthogonal matrix Q
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matrixf& L // lower triangular matrix L
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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::FactorizationQL(
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bool reduced, // calculation mode reduced or complete
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matrixc& Q, // unitary matrix Q
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matrixc& L // lower triangular matrix L
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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::FactorizationQL(
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bool reduced, // calculation mode reduced or complete
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matrixcf& Q, // unitary matrix Q
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matrixcf& L // lower triangular matrix L
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);
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```
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Parameters
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reduced
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[in] Calculation mode. If reduced is true then matrices Q, L calculated with reduced dimensions (M, K), (K, N). If reduced is false it means complete calculation of matrices Q, L with dimensions (M,M), (M,N).
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Q
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[out] Orthogonal or unitary matrix Q.
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L
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[out] Lower triangular matrix L.
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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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If reduced is true
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If m >= n, matrix Q is of m-by-n sizes, matrix L is of n-by-n sizes.
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If m < n, matrix Q is of m-by-m sizes, matrix L is of m-by-n sizes.
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If reduced is false, matrix Q is of m-by-m sizes, matrix L is of m-by-n sizes.
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