Visible to Intel only — GUID: GUID-0C2FB5CB-F1C6-4D60-98BB-89C8BDAFA622
Visible to Intel only — GUID: GUID-0C2FB5CB-F1C6-4D60-98BB-89C8BDAFA622
mkl_?diasv
Solves a system of linear equations for a sparse matrix in the diagonal format with one-based indexing (deprecated).
Syntax
call mkl_sdiasv(transa, m, alpha, matdescra, val, lval, idiag, ndiag, x, y)
call mkl_ddiasv(transa, m, alpha, matdescra, val, lval, idiag, ndiag, x, y)
call mkl_cdiasv(transa, m, alpha, matdescra, val, lval, idiag, ndiag, x, y)
call mkl_zdiasv(transa, m, alpha, matdescra, val, lval, idiag, ndiag, x, y)
Include Files
- mkl.fi
Description
This routine is deprecated. Use mkl_sparse_?_trsvfrom the Intel® oneAPI Math Kernel Library (oneMKL) Inspector-executor Sparse BLAS interface instead.
The mkl_?diasv routine solves a system of linear equations with matrix-vector operations for a sparse matrix stored in the diagonal format:
y := alpha*inv(A)*x
or
y := alpha*inv(AT)* x,
where:
alpha is scalar, x and y are vectors, 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 only one-based indexing of the input arrays.
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 linear equations.
If transa = 'N' or 'n', then y := alpha*inv(A)*x
If transa = 'T' or 't' or 'C' or 'c', then y := alpha*inv(AT)*x,
- m
-
INTEGER. Number of rows of the matrix A.
- alpha
-
REAL for mkl_sdiasv.
DOUBLE PRECISION for mkl_ddiasv.
COMPLEX for mkl_cdiasv.
DOUBLE COMPLEX for mkl_zdiasv.
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_sdiasv.
DOUBLE PRECISION for mkl_ddiasv.
COMPLEX for mkl_cdiasv.
DOUBLE COMPLEX for mkl_zdiasv.
Two-dimensional array of size lval by ndiag, contains non-zero diagonals of the matrix A. Refer to values array description in Diagonal Storage Scheme for more details.
- lval
-
INTEGER. Leading dimension of val, lval≥m. Refer to lval description in Diagonal Storage Scheme for more details.
- idiag
-
INTEGER. Array of length ndiag, contains the distances between main diagonal and each non-zero diagonals in the matrix A.
NOTE:All elements of this array must be sorted in increasing order.
Refer to distance array description in Diagonal Storage Scheme for more details.
- ndiag
-
INTEGER. Specifies the number of non-zero diagonals of the matrix A.
- x
-
REAL for mkl_sdiasv.
DOUBLE PRECISION for mkl_ddiasv.
COMPLEX for mkl_cdiasv.
DOUBLE COMPLEX for mkl_zdiasv.
Array, size at least m.
On entry, the array x must contain the vector x. The elements are accessed with unit increment.
- y
-
REAL for mkl_sdiasv.
DOUBLE PRECISION for mkl_ddiasv.
COMPLEX for mkl_cdiasv.
DOUBLE COMPLEX for mkl_zdiasv.
Array, size at least m.
On entry, the array y must contain the vector y. The elements are accessed with unit increment.
Output Parameters
- y
-
Contains solution vector x.
Interfaces
FORTRAN 77:
SUBROUTINE mkl_sdiasv(transa, m, alpha, matdescra, val, lval, idiag, ndiag, x, y)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, lval, ndiag
INTEGER indiag(*)
REAL alpha
REAL val(lval,*), x(*), y(*)
SUBROUTINE mkl_ddiasv(transa, m, alpha, matdescra, val, lval, idiag, ndiag, x, y)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, lval, ndiag
INTEGER indiag(*)
DOUBLE PRECISION alpha
DOUBLE PRECISION val(lval,*), x(*), y(*)
SUBROUTINE mkl_cdiasv(transa, m, alpha, matdescra, val, lval, idiag, ndiag, x, y)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, lval, ndiag
INTEGER indiag(*)
COMPLEX alpha
COMPLEX val(lval,*), x(*), y(*)
SUBROUTINE mkl_zdiasv(transa, m, alpha, matdescra, val, lval, idiag, ndiag, x, y)
CHARACTER*1 transa
CHARACTER matdescra(*)
INTEGER m, lval, ndiag
INTEGER indiag(*)
DOUBLE COMPLEX alpha
DOUBLE COMPLEX val(lval,*), x(*), y(*)