Supported Inspector-executor Sparse BLAS Operations

The Inspector-executor Sparse BLAS API can perform several operations involving sparse matrices. These notations are used in the description of the operations:

• A, G, V are sparse matrices

• B and C are dense matrices

• x and y are dense vectors

• alpha and beta are scalars

op(A) represents a possible transposition of matrix A

• op(A) = A

• op(A) = A^T - transpose of A

• op(A) = A^H - conjugate transpose of A

op(A)^-1 denotes the inverse of op(A).

The Inspector-executor Sparse BLAS 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 a sparse matrix and a dense matrix:

  C := alpha*op(A)*B + beta*C

• computing a product between sparse matrices with a sparse result:

  V := alpha*op(A)*op(G)

• computing a product between sparse matrices with a dense result:

  C := alpha*op(A)*op(G)

• computing a sum of sparse matrices with a sparse result:

  V := alpha*op(A) + G

• solving a sparse triangular system with multiple right-hand sides:

  C := alpha*inv(op(A))*B