Contents

# mkl_sparse_?_syprd

Computes the symmetric triple product of a sparse matrix and a dense matrix and stores the result as a dense matrix.

## Syntax

Include Files
• mkl_spblas.h
Description
The
mkl_sparse_?_syprd
routine performs a multiplication of three sparse matrices that results in a symmetric or Hermitian matrix,
C
.
`C:=alpha*A*B*op(A) + beta*C`
or
`C:=alpha*op(A)*B*A + beta*C`
depending on the matrix modifier
operation
. Here
A
is a sparse matrix,
B
and
C
are dense and symmetric (or Hermitian) matrices.
op
is the transpose (real precision) or conjugate transpose (complex precision) operator.
This routine is not supported for sparse matrices in COO or CSC formats. It supports only CSR and BSR formats. In addition, this routine supports only the sorted CSR and sorted BSR formats for the input matrix. If the data is unsorted, call the mkl_sparse_order routine before either mkl_sparse_sypr or mkl_sparse_?_syprd.
Input Parameters
operation
Specifies operation on the input sparse matrix.
 SPARSE_OPERATION_NON_TRANSPOSE Non-transpose case.C:=alpha*A*B*(AT)+beta*C for real precision.C:=alpha*A*B*(AH)+beta*C for complex precision. SPARSE_OPERATION_TRANSPOSE Transpose case. This is not supported for complex matrices.C:=alpha*(AT)*B*A +beta*C SPARSE_OPERATION_CONJUGATE_TRANSPOSE Conjugate transpose case. This is not supported for real matrices.C:=alpha*(AH)*B*A+beta*C
A
Handle which contains the sparse matrix
A
.
B
Input dense matrix. Only the upper triangular part of the matrix is used for computation.
denselayoutB
Structure that describes the storage scheme for the dense matrix.
 SPARSE_LAYOUT_COLUMN_MAJOR Store elements in a column-major layout. SPARSE_LAYOUT_ROW_MAJOR Store elements in a row-major layout.
ldb
Leading dimension of matrix B.
alpha
Scalar parameter.
beta
Scalar parameter.
Since the upper triangular part of matrix
C
is the only portion that is processed, set real values of
alpha
and
beta
in the complex case to obtain the Hermitian matrix.
denselayoutC
Structure that describes the storage scheme for the dense matrix.
 SPARSE_LAYOUT_COLUMN_MAJOR Store elements in a column-major layout. SPARSE_LAYOUT_ROW_MAJOR Store elements in a row-major layout.
ldc
Leading dimension of matrix C.
Output Parameters
C
Handle which contains the resulting dense matrix. Only the upper-triangular part of the matrix is computed.
Return Values
The function returns a value indicating whether the operation was successful, or the reason why it failed.
SPARSE_STATUS_SUCCESS
The operation was successful.
SPARSE_STATUS_NOT_INITIALIZED
The routine encountered an empty handle or matrix array.
SPARSE_STATUS_ALLOC_FAILED
The internal memory allocation failed.
SPARSE_STATUS_INVALID_VALUE
The input parameters contain an invalid value.
SPARSE_STATUS_EXECUTION_FAILED
The execution failed.
SPARSE_STATUS_INTERNAL_ERROR
An error occurred in the implementation of the algorithm.
SPARSE_STATUS_NOT_SUPPORTED
The requested operation is not supported.

#### Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.