mkl_sparse_?_qr

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 3/31/2023

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mkl_sparse_?_qr_solve

Solving step of the SPARSE QR solver.

Syntax

sparse_status_t mkl_sparse_d_qr_solve ( sparse_operation_t operation, sparse_matrix_t A, double *alt_values, sparse_layout_t layout, MKL_INT columns, double *x, MKL_INT ldx, const double *b, MKL_INT ldb );

sparse_status_t mkl_sparse_s_qr_solve ( sparse_operation_t operation, sparse_matrix_t A, float *alt_values, sparse_layout_t layout, MKL_INT columns, float *x, MKL_INT ldx, const float *b, MKL_INT ldb );

Include Files

mkl_sparse_qr.h

Description

The mkl_sparse_?_qr_solve routine computes the solution of sparse systems of linear equations A*x = b. Prior to calling this routine, the mkl_sparse_?_qr_factorize routine must be called for the matrix handle A. For more information about the workflow of sparse QR functionality, refer to oneMKL Sparse QR solver. Multifrontal Sparse QR Factorization Method for Solving a Sparse System of Linear Equations.

NOTE:

Currently, mkl_sparse_?_qr_solve supports only CSR format for the input matrix, non-transpose operation, and single right-hand side.

Alternative values are not supported and must be set to NULL.

Input Parameters

operation

Specifies the operation to perform.

NOTE:

Currently, the only supported value is SPARSE_OPERATION_NON_TRANSPOSE (non-transpose case; that is, A*x = b is solved).

A

Handle containing a sparse matrix in an internal data structure.

alt_values

Reserved for future use.

layout

Describes the storage scheme for the dense matrix:

`SPARSE_LAYOUT_COLUMN_MAJOR`	Storage of elements uses column-major layout.
`SPARSE_LAYOUT_ROW_MAJOR`	Storage of elements uses row-major layout.

x

Array with a size of at least rows*cols:

	layout = `SPARSE_LAYOUT_COLUMN_MAJOR`	layout = `SPARSE_LAYOUT_ROW_MAJOR`
`rows` (number of rows in x)	ldx	Number of columns in A
`cols` (number of columns in x)	columns	ldx

columns

Number of columns in matrix b.

ldx

Specifies the leading dimension of matrix x.

b

Array with a size of at least rows*cols:

	layout = `SPARSE_LAYOUT_COLUMN_MAJOR`	layout = `SPARSE_LAYOUT_ROW_MAJOR`
`rows` (number of rows in b)	ldb	Number of columns in A
`cols` (number of columns in b)	columns	ldb

ldb

Specifies the leading dimension of matrix b.

Output Parameters

x: Contains the solution of system A*x = b.

Return Values

SPARSE_STATUS_SUCCESS: The operation was successful.
SPARSE_STATUS_NOT_INITIALIZED: The routine encountered an empty handle or matrix array.
SPARSE_STATUS_ALLOC_FAILED: Internal memory allocation failed.
SPARSE_STATUS_INVALID_VALUE: The input parameters contain an invalid value.
SPARSE_STATUS_EXECUTION_FAILED: Execution failed.
SPARSE_STATUS_INTERNAL_ERROR: An error in algorithm implementation occurred.
SPARSE_STATUS_NOT_SUPPORTED: The requested operation is not supported.

Parent topic: Sparse QR Routines

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Developer Reference for Intel® oneAPI Math Kernel Library for C

mkl_sparse_?_qr_solve