Among the early areas of my interest was the performance of BLAS
kernels and their usage in single processor and parallel solvers for
large dense linear systems. I have also looked into the effects of
using Strassen's matrix multiplication algorithm in the blocked
algorithms for these problems. This work has been summarized in the
following publications:
Przemyslaw Stpiczynski, Marcin
Paprzycki (2005) Numerical
Software for Solving Dense Linear Algebra Problems on High
Performance Computers. Proceedings of the 4th
International Conference APLIMAT 2005, Slovak University of
Technology, Bratislava, 207-218
Marcin Paprzycki, Cliff
Cyphers (1996) Using
Strassen's Matrix Multiplication in High Performance Solution
of Linear Systems. Journal of Computers in Mathematics
Applications, Vol. 31, No. 4/5, 55-61
Marcin Paprzycki (1995) Parallel Gaussian
Elimination Algorithms on a Cray Y-MP. Informatica, Vol.
19, No. 2, 235-240
Marcin Paprzycki, Cliff
Cyphers (1994) Optimizing
Performance of Basic Linear Algebraic Subroutines on DEC
Computers. In: Proceedings of the 10th Annual CAM,
University of Central Oklahoma, Edmond, OK, 162-172
Marcin Paprzycki (1992) Comparison of Gaussian Elimination
Algorithms on a Cray Y-MP. Linear Algebra and Its
Applications, 172, 57-69
Cliff Cyphers, Marcin
Paprzycki (1992) Parallel Matrix
Multiplication-Can We Learn Anything New? CHPC
Newsletter, Vol.7, No.4, 55-59
Cliff Cyphers, Marcin
Paprzycki (1991) Multiplying Matrices on the
Cray-Practical Considerations. CHPC Newsletter, Vol. 6,
No. 6, 77-82
Cliff Cyphers, Marcin
Paprzycki (1991) Gaussian
Elimination on Cray Y-MP. CHPC Newsletter, Vol. 6, No.
4, 43-47