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_qmult

First stage of the solving step of the SPARSE QR solver.

Syntax

sparse_status_t mkl_sparse_d_qr_qmult ( sparse_operation_t operation, sparse_matrix_t A, 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_qmult ( sparse_operation_t operation, sparse_matrix_t A, 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_qmult routine computes multiplication of inversed matrix Q and right-hand side matrix b. This routine can be used to perform the solving step in two separate calls as an alternative to a single call of mkl_sparse_?_qr_solve.

NOTE:

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

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.

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: Overwritten by the updated matrix x = Q^-1*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_qmult