- Paolo Bientinesi, Inderjit S. Dhillon, and
Robert A. van de Geijn,
"
A Parallel Eigensolver for Dense Symmetric Matrices Based on
Multiple Relatively Robust Representations,
"
*SIAM Journal on Scientific Computing*, submitted. -
Brian Gunter and Robert van de Geijn.
Parallel Out-of-Core Computation and Updating of the QR Factorization.
ACM Transactions on Mathematical Software, to appear.
- Enrique S. Quintana and
Robert van de Geijn,
"Specialized Parallel Algorithms for Solving Linear Matrix
Equations in Control Theory,"
*JPDC*,**61,**pp. 1489-1504, 2001. -
Xiaobai Sun, Enrique S. Quintana, Gregorio Quintana, and
Robert van de Geijn,
``A Note on Parallel Matrix Inversion,''
*SIAM Journal on Scientific Computing*, Vol. 22, No. 5, pp. 1762--1771. - Almadena Chtchelkanova, John Gunnels, Greg Morrow, James Overfelt,
Robert van de Geijn,
"Parallel Implementation of BLAS: General Techniques for Level 3 BLAS,"
*Concurrency: Practice and Experience*, VOL. 9(9), 837-857 (Sept. 1997). -
Robert van de Geijn and Jerrell Watts
"SUMMA: Scalable Universal Matrix Multiplication Algorithm,"
*Concurrency: Practice and Experience,*Vol. 9 (4), pp. 255-274 (April 1997) - Brian Grayson and Robert van de Geijn
"A High Performance Parallel Strassen Implementation,"
*Parallel Processing Letters*, Vol 6, No. 1 (1996) 3-12. -
H. Carter Edwards and Robert A. van de Geijn.
"
Application Interface to Parallel Dense Matrix Libraries: \\
Just let me solve my problem!"
ACM Transactions on Mathematical Software, submitted.
- PDF (Draft)

**Related Conference Publications **

- Thuan D. Cao, John F. Hall, and Robert A. van de Geijn,
"Parallel Cholesky Factorization of a Block Tridiagonal
Matrix,"
*4ths Workshop on High Performance Scientific and Engineering Computing with Applications (HPSECA-02)*, In*Proceedings of the International Conference on Parallel Processing 2002 (ICPP-02)*. - Brian C. Gunter, Wesley C. Reiley and Robert A. van de Geijn,
"Parallel Out-of-Core
Cholesky and QR Factorizations with POOCLAPACK,"
In
*Proceedings of the 15th International Parallel and Distributed Processing Symposium*, San Francisco, CA, April 23-27 (on CD-ROM). -
John Gunnels and Robert van de Geijn,
"Formal Methods for High-Performance Linear Algebra Algorithms,"
In Ronald F. Boisvert and Ping Tak Peter Tang, editors,
*The Architecture of Scientific Software*, pages 193-210. Kluwer Academic Press, 2001.

Proceedings of Working Conference on Sofware Architectures for Scientific Computing Applications (IFIP WG 2.5 WoCo 8).

(See our Formal Linear Algebra Methods Environment.) - Enrique S. Quintana-Orti and
Robert van de Geijn,
"Fast Parallel Kernels for Selected Problems in Control Theory,"
*Proceedings of the SIAM Conference on Parallel Processing for Scientific Computing 1999*, 1999. - Greg Morrow and Robert van de Geijn,
"A Parallel Linear Algebra Server for MATLAB-like Environments"
,
*Proceedings of SC98.* - Greg Baker, John Gunnels, Greg Morrow, Beatrice Riviere, and Robert van de Geijn, "PLAPACK: High Performance through High Level Abstraction" , ICPP98.
- John Gunnels, Calvin Lin, Greg Morrow, and Robert van de Geijn,
"A Flexible Class of Parallel Matrix Multiplication Algorithms"
,
*Proceedings of First Merged International Parallel Processing Symposium and Symposium on Parallel and Distributed Processing (1998 IPPS/SPDP '98)*, pp. 110-116 1998. - Philip Alpatov, Greg Baker, Carter Edwards, John Gunnels, Greg Morrow, James Overfelt, Robert van de Geijn, Yuan-Jye J. Wu, "PLAPACK: Parallel Linear Algebra Libraries Design Overview" , SC97.
- Philip Alpatov, Greg Baker, Carter Edwards, John Gunnels, Greg Morrow,
James Overfelt, Robert van de Geijn, Yuan-Jye J. Wu, "PLAPACK:
Parallel Linear Algebra Package," in
*Proceedings of the SIAM Parallel Processing Conference, 1997*. - Wu, Y.-J. J., A. A. Alpatov, C. Bischof, and R. A. van de Geijn, "A Parallel Implementation of Symmetric Band Reduction Using PLAPACK", Proceedings of Scalable Parallel Library Conference, Mississippi State. (October 1996, 8 pages, PRISM WN#35)

**PLAPACK Working Notes**

- C. Edwards, P. Geng, A. Patra, and R. van de Geijn, "Parallel
Matrix Decompositions: have we been doing it all wrong?" PLAPACK
Working Note #1, TR-95-39, Department of Computer Sciences, University
of Texas, Oct. 1995.

- Robert van de Geijn and Jerrell Watts, "SUMMA:
Scalable Universal Matrix Multiplication Algorithm," PLAPACK Working
Note #2, Department of Computer Sciences, The Unversity of Texas, TR-95-13,
April 1995.

Also: LAPACK Working Note #96 , May 1995.

Journal version:*Concurrency: Practice and Experience*, Vol. 9 (4), pp. 255-274 (April 1997).

- Brian Grayson, Ajay Pankaj Shah, and Robert van de Geijn, "A
High Performance Parallel Strassen Implementation," PLAPACK Working
Note #3

Journal version:*Parallel Processing Letters*, Vol 6, No. 1 (1996) 3-12.

- Almadena Chtchelkanova, John Gunnels, Greg Morrow, James Overfelt,
Robert A. van de Geijn, "Parallel
Implementation of BLAS: General Techniques for Level 3 BLAS,"
PLAPACK Working Note #4, TR-95-40, Department of Computer Sciences, University
of Texas, Oct. 1995.

Journal version:*Concurrency: Practice and Experience*, VOL. 9(9), 837-857 (Sept. 1997).

- Almadena Chtchelkanova, Carter Edwards, John Gunnels, Greg Morrow,
James Overfelt, Robert van de Geijn, "Towards
Usable and Lean Parallel Linear Algebra Libraries," PLAPACK Working
Note #5, TR-96-09, Department of Computer Sciences, University of Texas,
May 1996.

- H. Carter Edwards, "MMPI: Asynchronous Message Management for the Message-Passing Interface," PLAPACK Working Note #6, TICAM Report 96-44, Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, 1996
- Thierry Joffrain, "Parallel Implementation of Triangular Solve," Undergraduate Honors' Thesis, PLAPACK Working Note #7, Department of Computer Sciences, UT-Ausin, May 1998.
- Xiaobai Sun, Enrique S. Quintana, Gregorio Quintana, and Robert van de Geijn, " Efficient Matrix Inversion via Gauss-Jordan Elimination and its Parallelization," PLAPACK Working Note #8, CS Technical Report 98-19, Department of Computer Sciences, The University of Texas at Austin, Sept. 1998.
- Enrique S. Quintana-Orti and Robert van de Geijn, "Parallel Solution of Selected Problems in Control Theory," PLAPACK Working Note #9, CS Technical Report 98-28, Department of Computer Sciences, The University of Texas at Austin, Dec. 1998.
- Wesley C. Reiley and Robert A. van de Geijn, "POOCLAPACK: Parallel Out-of-Core Linear Algebra Package," PLAPACK Working Note #10, CS Technical Report 99-33, Department of Computer Sciences, The University of Texas at Austin, Nov. 1999.
- Reiley, Wesley C.. "Efficient Parallel Out-of-Core Implementation of the Cholesky Factorization." Undergraduate Honors Thesis, PLAPACK Working Note #11, The University of Texas at Austin, Department of Computer Sciences. Technical Report TR-99-36. December 1999.
- Brian C. Gunter, Wesley C. Reiley and Robert A. van de Geijn, "Implementation of Out-of-Core Cholesky and QR Factorizations with POOCLAPACK," PLAPACK Working Note #12, CS Technical Report 2000-21, Department of Computer Sciences, The University of Texas at Austin, Sept. 2000.
- H. Carter Edwards and Robert A. van de Geijn. " Application Interface to Parallel Dense Matrix Libraries: \\ Just let me solve my problem!" PLAPACK Working Note #13, The University of Texas at Austin, Department of Computer Sciences. Technical Report TR-2006-??.