Contents

# 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`

#### Product and Performance Information

1

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Notice revision #20110804