mkl_sparse_?_trsv
mkl_sparse_?_trsv
Solves a system of linear equations for a triangular sparse matrix.
Syntax
sparse_status_t mkl_sparse_s_trsv
(
const sparse_operation_t
operation
,
const float
alpha
,
const
sparse_matrix_t
A
,
const struct
matrix_descr
descr
,
const
float
*x
,
float
*y
);
sparse_status_t mkl_sparse_d_trsv
(
const sparse_operation_t
operation
,
const double
alpha
,
const
sparse_matrix_t
A
,
const struct
matrix_descr
descr
,
const
double
*x
,
double
*y
);
sparse_status_t mkl_sparse_c_trsv
(
const sparse_operation_t
operation
,
const MKL_Complex8
alpha
,
const
sparse_matrix_t
A
,
const struct
matrix_descr
descr
,
const
MKL_Complex8
*x
,
MKL_Complex8
*y
);
sparse_status_t mkl_sparse_z_trsv
(
const sparse_operation_t
operation
,
const MKL_Complex16
alpha
,
const
sparse_matrix_t
A
,
const struct
matrix_descr
descr
,
const
MKL_Complex16
*x
,
MKL_Complex16
*y
);
Include Files
- mkl_spblas.h
Description
The
mkl_sparse_?_trsv
routine solves a system of linear equations for a matrix: op(A)*y = alpha * x
where
A
is a triangular sparse matrix , op
is a matrix modifier for matrix A
, alpha
is a scalar, and x
and y
are vectors .For sparse matrices in the BSR format, the supported combinations of (
indexing
,block_layout
) are:- (SPARSE_INDEX_BASE_ZERO,SPARSE_LAYOUT_ROW_MAJOR)
- (SPARSE_INDEX_BASE_ONE,SPARSE_LAYOUT_COLUMN_MAJOR)
Input Parameters
- operation
- Specifies operationop()on input matrix.
- SPARSE_OPERATION_NON_TRANSPOSE
- Non-transpose,op(.A) =A
- SPARSE_OPERATION_TRANSPOSE
- Transpose,op(.A) =AT
- SPARSE_OPERATION_CONJUGATE_TRANSPOSE
- Conjugate transpose,op(.A) =AH
- alpha
- Specifies the scalaralpha.
- A
- Handle which contains the input matrixA.
- descr
- Structurespecifying sparse matrix properties.sparse_matrix_type_ttype- Specifies the type of a sparse matrix:
- SPARSE_MATRIX_TYPE_GENERAL
- The matrix is processed as is.
- SPARSE_MATRIX_TYPE_SYMMETRIC
- The matrix is symmetric (only the requested triangle is processed).
- SPARSE_MATRIX_TYPE_HERMITIAN
- The matrix is Hermitian (only the requested triangle is processed).
- SPARSE_MATRIX_TYPE_TRIANGULAR
- The matrix is triangular (only the requested triangle is processed).
- SPARSE_MATRIX_TYPE_DIAGONAL
- The matrix is diagonal (only diagonal elements are processed).
- SPARSE_MATRIX_TYPE_BLOCK_TRIANGULAR
- The matrix is block-triangular (only requested triangle is processed). Applies to BSR format only.
- SPARSE_MATRIX_TYPE_BLOCK_DIAGONAL
- The matrix is block-diagonal (only diagonal blocks are processed). Applies to BSR format only.
sparse_fill_mode_tmode- Specifies the triangular matrix part for symmetric, Hermitian, triangular, and block-triangular matrices:- SPARSE_FILL_MODE_LOWER
- The lower triangular matrix part is processed.
- SPARSE_FILL_MODE_UPPER
- The upper triangular matrix part is processed.
sparse_diag_type_tdiag- Specifies diagonal type for non-general matrices:- SPARSE_DIAG_NON_UNIT
- Diagonal elements might not be equal to one.
- SPARSE_DIAG_UNIT
- Diagonal elements are equal to one.
- x
- Array of size at leastm, wheremis the number of rows of matrixA. On entry, the array must contain the vectorx.
Output Parameters
- y
- Array of size at leastmcontaining the solution to the system of linear equations.
Return Values
The function returns a value indicating whether the operation was successful or not, and why.
- 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.