Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

  • 0.9
  • 09/09/2020
  • Public Content
Contents

Extended Eigensolver Naming Conventions

There are two different types of interfaces available in the Extended Eigensolver routines:
  1. The reverse communication interfaces (RCI): 
    ?feast_<matrix type>_rci
    These interfaces are matrix free format (the interfaces are independent of the matrix data formats). You must provide matrix-vector multiply and direct/iterative linear system solvers for your own explicit or implicit data format.
  2. The predefined interfaces: 
    ?feast_<matrix type><type of eigenvalue problem>
    are predefined drivers for
    ?feast
     reverse communication interface that act on commonly used matrix data storage (dense, banded and compressed sparse row representation), using internal matrix-vector routines and selected inner linear system solvers.
For these interfaces:
  • ?
     indicates the data type of matrix
    A
     (and matrix
    B
     if any) defined as follows:
    s
    float
    d
    double
    c
    MKL_Complex8
    z
    MKL_Complex16
  • <matrix type>
     defined as follows:
    Value of
    <matrix type>
    Matrix format
    Inner linear system solver used by Extended Eigensolver
    sy
    (symmetric real)
    Dense
    LAPACK dense solvers
    he
    (Hermitian complex)
    sb
    (symmetric banded real)
    Banded-LAPACK
    Internal banded solver
    hb
    (Hermitian banded complex)
    scsr
    (symmetric real)
    Compressed sparse row
    PARDISO solver
    hcsr
    (Hermitian complex)
    s
    (symmetric real)
    Reverse communications interfaces
    User defined
    h
    (Hermitian complex)
  • <type of eigenvalue problem>
     is:
    gv
    generalized eigenvalue problem
    ev
    standard eigenvalue problem
For example,
sfeast_scsrev
 is a single-precision routine with a symmetric real matrix stored in sparse compressed-row format for a standard eigenvalue problem, and
zfeast_hrci
 is a complex double-precision routine with a Hermitian matrix using the reverse communication interface.
Note that:
  • ?
     can be
    s
     or
    d
     if a matrix is real symmetric:
    <matrix type>
     is
    sy
    ,
    sb
    , or
    scsr
    .
  • ?
     can be
    c
     or
    z
     if a matrix is complex Hermitian:
    <matrix type>
     is
    he
    ,
    hb
    , or
    hcsr
    .
  • ?
     can be
    c
     or
    z
     if the Extended Eigensolver RCI interface is used for solving a complex Hermitian problem.
  • ?
     can be
    s
     or
    d
     if the Extended Eigensolver RCI interface is used for solving a real symmetric problem.

Product and Performance Information

1

Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.

Notice revision #20110804