Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

  • 0.10
  • 10/21/2020
  • Public Content
Contents

Orthogonal Factorizations: ScaLAPACK Computational Routines

This section describes the ScaLAPACK routines for the
QR
(RQ)
 and
LQ
(QL)
 factorization of matrices. Routines for the
RZ
 factorization as well as for generalized
QR
 and
RQ
 factorizations are also included. For the mathematical definition of the factorizations, see the respective LAPACK sections or refer to [SLUG].
Table
"Computational Routines for Orthogonal Factorizations"
 lists ScaLAPACK routines that perform orthogonal factorization of matrices.
Computational Routines for Orthogonal Factorizations
Matrix type, factorization
Factorize without pivoting
Factorize with pivoting
Generate matrix Q
Apply matrix Q
general matrices, QR factorization
general matrices, RQ factorization
 
general matrices, LQ factorization
 
general matrices, QL factorization
trapezoidal matrices, RZ factorization
 
 
pair of matrices, generalized QR factorization
 
pair of matrices, generalized RQ factorization
 
 
 

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