The Design and Implementation of the ScaLAPACK LU, QR, and Cholesky Factorization Routines

[§]Jaeyoung Choi [§]Jack J. Dongarra [§]L. Susan Ostrouchov [§]Antoine P. Petitet []David W. Walker [§]R. Clint Whaley

[§] Department of Computer ScienceUniversity of Tennessee at Knoxville107 Ayres HallKnoxville, TN 37996-1301 [] Mathematical Sciences Section Oak Ridge National Laboratory P.O. Box 2008, Bldg. 6012 Oak Ridge, TN 37831-6367

September 1994

• Introduction
• Design Philosophy
  • Block Cyclic Data Distribution
  • Building Blocks
  • Design Principles
• Factorization Routines
  • LU Factorization
  • QR Factorization
  • Cholesky Factorization
• Performance Results
  • LU Factorization
  • QR Factorization
  • Cholesky Factorization
• Scalability
• Conclusions
• Acknowledgements
• References
• About this document ...