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.

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 suppored 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.
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