Visible to Intel only — GUID: GUID-0EB9E29D-403E-4F6D-9B93-1C66E8954689
Visible to Intel only — GUID: GUID-0EB9E29D-403E-4F6D-9B93-1C66E8954689
mkl_?cscsm
Solves a system of linear matrix equations for a sparse matrix in the CSC format (deprecated).
Syntax
call mkl_scscsm(transa, m, n, alpha, matdescra, val, indx, pntrb, pntre, b, ldb, c, ldc)
call mkl_dcscsm(transa, m, n, alpha, matdescra, val, indx, pntrb, pntre, b, ldb, c, ldc)
call mkl_ccscsm(transa, m, n, alpha, matdescra, val, indx, pntrb, pntre, b, ldb, c, ldc)
call mkl_zcscsm(transa, m, n, alpha, matdescra, val, indx, pntrb, pntre, b, ldb, c, ldc)
Include Files
- mkl.fi
Description
This routine is deprecated. Use mkl_sparse_?_trsmfrom the Intel® oneAPI Math Kernel Library (oneMKL) Inspector-executor Sparse BLAS interface instead.
The mkl_?cscsm routine solves a system of linear equations with matrix-matrix operations for a sparse matrix in the CSC format:
C := alpha*inv(A)*B
or
C := alpha*inv(AT)*B,
where:
alpha is scalar, B and C are dense matrices, A is a sparse upper or lower triangular matrix with unit or non-unit main diagonal, AT is the transpose of A.
This routine supports a CSC format both with one-based indexing and zero-based indexing.
Input Parameters
Parameter descriptions are common for all implemented interfaces with the exception of data types that refer here to the FORTRAN 77 standard types. Data types specific to the different interfaces are described in the section "Interfaces" below.
- transa
-
CHARACTER*1. Specifies the system of equations.
If transa = 'N' or 'n', then C := alpha*inv(A)*B
If transa = 'T' or 't' or 'C' or 'c', then C := alpha*inv(AT)*B,
- m
-
INTEGER. Number of columns of the matrix A.
- n
-
INTEGER. Number of columns of the matrix C.
- alpha
-
REAL for mkl_scscsm.
DOUBLE PRECISION for mkl_dcscsm.
COMPLEX for mkl_ccscsm.
DOUBLE COMPLEX for mkl_zcscsm.
Specifies the scalar alpha.
- matdescra
-
CHARACTER. Array of six elements, specifies properties of the matrix used for operation. Only first four array elements are used, their possible values are given in Table “Possible Values of the Parameter matdescra (descra)”. Possible combinations of element values of this parameter are given in Table “Possible Combinations of Element Values of the Parameter matdescra”.
- val
-
REAL for mkl_scscsm.
DOUBLE PRECISION for mkl_dcscsm.
COMPLEX for mkl_ccscsm.
DOUBLE COMPLEX for mkl_zcscsm.
Array containing non-zero elements of the matrix A.
For one-based indexing its length is pntre(k) - pntrb(1).
For zero-based indexing its length is pntre(m-1) - pntrb(0).
Refer to values array description in CSC Format for more details.
NOTE:The non-zero elements of the given row of the matrix must be stored in the same order as they appear in the row (from left to right).
No diagonal element can be omitted from a sparse storage if the solver is called with the non-unit indicator.
- indx
-
INTEGER. Array containing the row indices for each non-zero element of the matrix A. Its length is equal to length of the val array.
Refer to rows array description in CSC Format for more details.
NOTE:Row indices must be sorted in increasing order for each column.
- pntrb
-
INTEGER. Array of length m.
For one-based indexing this array contains column indices, such that pntrb(I) - pntrb(1) + 1 is the first index of column I in the arrays val and indx.
For zero-based indexing this array contains column indices, such that pntrb(I) - pntrb(0) is the first index of column I in the arrays val and indx.
Refer to pointerb array description in CSC Format for more details.
- pntre
-
INTEGER. Array of length m.
For one-based indexing this array contains column indices, such that pntre(I) - pntrb(1) is the last index of column I in the arrays val and indx.
For zero-based indexing this array contains column indices, such that pntre(I) - pntrb(1)-1 is the last index of column I in the arrays val and indx.
Refer to pointerE array description in CSC Format for more details.
- b
-
REAL for mkl_scscsm.
DOUBLE PRECISION for mkl_dcscsm.
COMPLEX for mkl_ccscsm.
DOUBLE COMPLEX for mkl_zcscsm.
Array, size ldb by n for one-based indexing, and (m, ldb) for zero-based indexing.
On entry the leading m-by-n part of the array b must contain the matrix B.
- ldb
-
INTEGER. Specifies the leading dimension of b for one-based indexing, and the second dimension of b for zero-based indexing, as declared in the calling (sub)program.
- ldc
-
INTEGER. Specifies the leading dimension of c for one-based indexing, and the second dimension of c for zero-based indexing, as declared in the calling (sub)program.
Output Parameters
- c
-
REAL for mkl_scscsm.
DOUBLE PRECISION for mkl_dcscsm.
COMPLEX for mkl_ccscsm.
DOUBLE COMPLEX for mkl_zcscsm.
Array, size ldc by n for one-based indexing, and (m, ldc) for zero-based indexing.
The leading m-by-n part of the array c contains the output matrix C.
Interfaces
FORTRAN 77:
SUBROUTINE mkl_scscsm(transa, m, n, alpha, matdescra, val, indx,
pntrb, pntre, b, ldb, c, ldc)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, n, ldb, ldc
INTEGER indx(*), pntrb(m), pntre(m)
REAL alpha
REAL val(*), b(ldb,*), c(ldc,*)
SUBROUTINE mkl_dcscsm(transa, m, n, alpha, matdescra, val, indx,
pntrb, pntre, b, ldb, c, ldc)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, n, ldb, ldc
INTEGER indx(*), pntrb(m), pntre(m)
DOUBLE PRECISION alpha
DOUBLE PRECISION val(*), b(ldb,*), c(ldc,*)
SUBROUTINE mkl_ccscsm(transa, m, n, alpha, matdescra, val, indx,
pntrb, pntre, b, ldb, c, ldc)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, n, ldb, ldc
INTEGER indx(*), pntrb(m), pntre(m)
COMPLEX alpha
COMPLEX val(*), b(ldb,*), c(ldc,*)
SUBROUTINE mkl_zcscsm(transa, m, n, alpha, matdescra, val, indx,
pntrb, pntre, b, ldb, c, ldc)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, n, ldb, ldc
INTEGER indx(*), pntrb(m), pntre(m)
DOUBLE COMPLEX alpha
DOUBLE COMPLEX val(*), b(ldb,*), c(ldc,*)