Complex matrix multiplication operations with data preconditioning in a high performance computing architecture
Abstract
Mechanisms for performing a complex matrix multiplication operation are provided. A vector load operation is performed to load a first vector operand of the complex matrix multiplication operation to a first target vector register. The first vector operand comprises a real and imaginary part of a first complex vector value. A complex load and splat operation is performed to load a second complex vector value of a second vector operand and replicate the second complex vector value within a second target vector register. The second complex vector value has a real and imaginary part. A cross multiply add operation is performed on elements of the first target vector register and elements of the second target vector register to generate a partial product of the complex matrix multiplication operation. The partial product is accumulated with other partial products and a resulting accumulated partial product is stored in a result vector register.
 Inventors:
 Issue Date:
 Research Org.:
 International Business Machines Corp., Armonk, NY (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1119675
 Patent Number(s):
 8650240
 Application Number:
 12/542,324
 Assignee:
 International Business Machines Corporation (Armonk, NY)
 Patent Classifications (CPCs):

G  PHYSICS G06  COMPUTING G06F  ELECTRIC DIGITAL DATA PROCESSING
 DOE Contract Number:
 B554331
 Resource Type:
 Patent
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING
Citation Formats
Eichenberger, Alexandre E, Gschwind, Michael K, and Gunnels, John A. Complex matrix multiplication operations with data preconditioning in a high performance computing architecture. United States: N. p., 2014.
Web.
Eichenberger, Alexandre E, Gschwind, Michael K, & Gunnels, John A. Complex matrix multiplication operations with data preconditioning in a high performance computing architecture. United States.
Eichenberger, Alexandre E, Gschwind, Michael K, and Gunnels, John A. Tue .
"Complex matrix multiplication operations with data preconditioning in a high performance computing architecture". United States. https://www.osti.gov/servlets/purl/1119675.
@article{osti_1119675,
title = {Complex matrix multiplication operations with data preconditioning in a high performance computing architecture},
author = {Eichenberger, Alexandre E and Gschwind, Michael K and Gunnels, John A},
abstractNote = {Mechanisms for performing a complex matrix multiplication operation are provided. A vector load operation is performed to load a first vector operand of the complex matrix multiplication operation to a first target vector register. The first vector operand comprises a real and imaginary part of a first complex vector value. A complex load and splat operation is performed to load a second complex vector value of a second vector operand and replicate the second complex vector value within a second target vector register. The second complex vector value has a real and imaginary part. A cross multiply add operation is performed on elements of the first target vector register and elements of the second target vector register to generate a partial product of the complex matrix multiplication operation. The partial product is accumulated with other partial products and a resulting accumulated partial product is stored in a result vector register.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2014},
month = {2}
}
Works referenced in this record:
Adaptive Strassen and ATLAS's DGEMM: a fast squarematrix multiply for modern highperformance systems
conference, January 2005
 D'Alberto, P.; Nicolau, A.
 Eighth International Conference on HighPerformance Computing in AsiaPacific Region (HPCASIA'05)
High performance software on Intel Pentium Pro processors or MicroOps to TeraFLOPS
conference, January 1997
 Greer, Bruce; Henry, Greg
 Proceedings of the 1997 ACM/IEEE conference on Supercomputing (CDROM)  Supercomputing '97, p. 113