Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

  • 2021.1
  • 12/04/2020
  • Public Content
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

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.