Journal Publications
coauthored by Robert A. van de Geijn

Index

Parallel Dense Linear Algebra

  1. John A. Gunnels, Fred G. Gustavson, Greg M. Henry, and Robert A. van de Geijn, "FLAME: Formal Linear Algebra Methods Environment," TOMS , 27(4):422-455, December 2001.

  2. Enrique Quintana-Orti and Robert van de Geijn, " Formal Derivation of Algorithms: The Triangular Sylvester Equation, " TOMS , (29) 2, June 2003.

  3. Paolo Bientinesi, John A. Gunnels, Margaret E. Myers, Enrique Quintana-Orti, and Robert van de Geijn, " The Science of Deriving Dense Linear Algebra Algorithms, " TOMS , 31(1):1-26, March 2005.

  4. Paolo Bientinesi, Enrique Quintana-Orti, and Robert van de Geijn, Representing Linear Algebra Algorithms in Code: The FLAME APIs. TOMS , 31(1):27-59, March 2005.

  5. 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 , Vol. 27, No. 1, 2005.

  6. Brian Gunter and Robert van de Geijn. Parallel Out-of-Core Computation and Updating of the QR Factorization. ACM Transactions on Mathematical Software, 31(1):60-78, March 2005.

  7. Thierry Joffrain, Tze Meng Low, Enrique Quintana-Orti, Robert van de Geijn, and Field Van Zee, On Accumulating Householder Transformations. TOMS , to appear.

  8. Gregorio Quintana-Orti and Robert van de Geijn, Improving the Performance of Reduction to Hessenberg Form. TOMS , to appear.

  9. Tze Meng Low, Kent Milfeld, Robert van de Geijn, and Field Van Zee. " Parallelizing FLAME Code with OpenMP Task Queues. " TOMS , being revised.

  10. Thierry Joffrain, Enrique S. Quintana-Orti, and Robert A. van de Geijn, " Updating an LU Factorization and its Application to Scalable Out-of-Core," SIAM Journal on Scientific Computing, submitted.

  11. Kazushige Goto and Robert A. van de Geijn, " Anatomy of High-Performance Matrix Multiplication," ACM Transactions on Mathematical Software, submitted.

  12. Paolo Bientinesi, Brian Gunter, and Robert van de Geijn, Families of Algorithms Related to the Inversion of a Symmetric Positive Definite Matrix, TOMS , submitted.

  13. Paolo Bientinesi and Robert van de Geijn, Representing Dense Linear Algebra Algorithms: A Farewell to Indices. SIAM Review , submitted.

  14. 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.

  15. Robert van de Geijn, "High Performance Linear Algebra Packages", Special Issue on Parallel Processing and Statistics of Computational Statistics and Data Analysis , VOL. 31(4) (Oct. 1999).

  16. 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).

  17. D. Gimenez, V. Hernandez, R. van de Geijn, and A. Vidal, A Jacobi Method by Blocks on a Mesh of Processors Concurrency: Practice and Experience, Vol. 9(5), 391-411 (May 1997)

  18. 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)

  19. Greg Henry and Robert van de Geijn, ``Parallelizing the QR Algorithm for the Unsymmetric Algebraic Eigenvalue Problem: Myths and Reality,'' SIAM Journal on Scientific Computing, Vol. 14, No. 4, pp. 870-883, 1996

  20. Brian Grayson and Robert van de Geijn "A High Performance Parallel Strassen Implementation," Parallel Processing Letters, Vol 6, No. 1 (1996) 3-12.

  21. Po Geng, J. Tinsley Oden, Robert van de Geijn, ``Massively Parallel Computation for Acoustical Scattering Problems using Boundary Element Methods,'' Journal of Sound and Vibration, 191 (1), pp. 145-165.

  22. Jack Dongarra, Robert van de Geijn, and David Walker, ``Scalability Issues Affecting the Design of a Dense Linear Algebra Library,'' Special Issue on Scalability of Parallel Algorithms, Journal of Parallel and Distributed Computing, Vol. 22, No. 3, Sept. 1994.

  23. Tom Cwik, Robert van de Geijn, and Jean Patterson, ``The Application of Parallel Computation to Integral Equation Models of Electromagnetic Scattering,'' Journal of the Optical Society of America A , Vol. 11, No. 4, pp. 1538-1545, April 1994.

  24. Robert van de Geijn, ``Deferred Shifting Schemes for Parallel QR Methods,'' in SIAM Journal on Matrix Analysis and Application, 14, 1, pp. 180-194, Jan. 1993.

  25. Jack Dongarra and Robert van de Geijn, ``Reduction to Condensed Form on Distributed Memory Architectures,'' in Parallel Computing, 18, pp. 973-982, 1992.

Parallel Sparse Linear Algebra

  1. P. Geng, J.T. Oden, and R.A. van de Geijn, "A Parallel Multifrontal Algorithm and its Implementation," Comput. Methods Appl. Mech. Engrg., to appear.

  2. E. Barragy and R. van de Geijn, "BLAS Performance for Selected Segments of a High p EBE Finite Element Code," International Journal on Numerical Methods in Engineering, Vol. 38, pp. 1327-1340 (1995)

  3. E. Barragy, G.F. Carey, R. van de Geijn, ``Performance and Scalability of a Block Preconditioned Finite Element Technique in a Distributed Parallel Environment,'' International Journal on Numerical Methods in Engineering, Vol. 38, pp. 1535-1554 (1995)

  4. E. Barragy, G. F. Carey, and R. van de Geijn, ``Performance and Scalability of Finite Element Analysis for Parallel Computation,'' Journal of Parallel and Distributed Computing , 21, pp. 202-212 (1994).

Fast Summation Methods

  1. Fu, Y., Klimkowski, K., Rodin, G., Berger, E., Browne, J.C., Singer, J.K., van de Geijn, R.A., and Vemeganti, K.S., "A fast solution method for three-dimensional many-particle problems of linear elasticity," submitted to Num. Meth. Engrg. , 42, 1215-1229 (1998)

Parallel Communication Algorithms

  1. M. Barnett, D. Payne, R. van de Geijn, and J. Watts, ``Broadcasting on Meshes with Wormhole Routing,'' Journal of Parallel and Distributed Computing, Vol. 35, No. 2, pp. 111-122, 1996.

  2. Jerrell Watts and Robert van de Geijn, "A Pipelined Broadcast for Multidimensional Meshes," Parallel Processing Letters, Vol. 5, No. 2 (1995) pp. 281-292.

  3. M. Barnett, R. Littlefield, D. Payne, and R. van de Geijn, ``On the Efficiency of Global Combine Algorithms for 2-D Meshes With Wormhole Routing,'' Journal of Parallel and Distributed Computing 24, pp. 191-201 (1995).

  4. Robert van de Geijn, ``On Global Combine Operations,'' Journal of Parallel and Distributed Computing, 22 , pp. 324-328 (1994).