Visible to Intel only — GUID: GUID-9BE18632-7F7A-4B23-B19F-64F984C56B10
Visible to Intel only — GUID: GUID-9BE18632-7F7A-4B23-B19F-64F984C56B10
Routines and Supported Operations
This section describes operations supported by the Intel® oneAPI Math Kernel Library (oneMKL) Sparse BLAS Level 2 and Level 3 routines. The following notations are used here:
A is a sparse matrix;
B and C are dense matrices;
D is a diagonal scaling matrix;
x and y are dense vectors;
alpha and beta are scalars;
op(A) is one of the possible operations:
op(A) = A;
op(A) = AT - transpose of A;
op(A) = AH - conjugated transpose of A.
inv(op(A)) denotes the inverse of op(A).
The Intel® oneAPI Math Kernel Library (oneMKL) Sparse BLAS Level 2 and Level 3 routines support the following operations:
computing the vector product between a sparse matrix and a dense vector:
y := alpha*op(A)*x + beta*y
solving a single triangular system:
y := alpha*inv(op(A))*x
computing a product between sparse matrix and dense matrix:
C := alpha*op(A)*B + beta*C
solving a sparse triangular system with multiple right-hand sides:
C := alpha*inv(op(A))*B
Intel® oneAPI Math Kernel Library (oneMKL) provides an additional set of the Sparse BLAS Level 2 routines withsimplified interfaces. Each of these routines operates on a matrix of the fixed type. The following operations are supported:
computing the vector product between a sparse matrix and a dense vector (for general and symmetric matrices):
y := op(A)*x
solving a single triangular system (for triangular matrices):
y := inv(op(A))*x
Matrix type is indicated by the field <mtype> in the routine name (see section Naming Conventions in Sparse BLAS Level 2 and Level 3).
The routines with simplified interfaces support only four sparse matrix storage formats, specifically:
CSR format in the 3-array variation accepted in the direct sparse solvers and in the CXML;
diagonal format accepted in the CXML;
coordinate format;
BSR format in the 3-array variation.
Note that routines with both typical (conventional) and simplified interfaces use the same computational kernels that work with certain internal data structures.
The Intel® oneAPI Math Kernel Library (oneMKL) Sparse BLAS Level 2 and Level 3 routines do not support in-place operations.
Complete list of all routines is given in the “Sparse BLAS Level 2 and Level 3 Routines”.