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. Recently, I have worked with
S. G. Sedukhin. The
topic was generalization of matrix multiplication (and its applications).
Obtained results have been summarized in the following publications (all papers listed here
are "Technical Report" quality and copyrighted originals should be used for all
purposes over and above plain curiosity):

M. Ganzha,
M. Paprzycki,
S. G. Sedukhin (2014)
Generalized Matrix Multiplication and its Object
Oriented Model.
*Scalable Computing: Practice and Experience*, Vol. 15, No. 2, 187-200

M. Ganzha,
M. Paprzycki,
S. G. Sedukhin (2014)
Image Scrambling on a "Mesh-of-Tori" Architecture.
*Scalable Computing: Practice and Experience*, Vol. 15, No. 1, 79-87

M. Paprzycki,
M. Ganzha
S. G. Sedukhin, PaweÅ‚ Gepner (2014)
Performance analysis of scalable algorithms
for 3D linear transforms. M. Ganzha, et.al. (eds.),
*Proceedings of the 2014 Federated Conference on
Computer Science and Information Systems*, IEEE Press, Los Alamitos, CA, 613-622

M. Ganzha
M. Paprzycki,
S. G. Sedukhin (2013)
Library for Matrix Multiplication-based Data Manipulation
on a "Mesh-of-Tori" Architecture. M. Ganzha, et.al. (eds.),
*Proceedings of the 2013 Federated Conference on
Computer Science and Information Systems*, IEEE Press, Los Alamitos, CA, 455-462

S. G. Sedukhin, M. Paprzycki (2012) Generalizing Matrix Multiplication for Efficient Computations on Modern Computers. R. Wyrzykowski, et.al. (eds.) Parallel Processing and Applied Mathematics, LNCS, Springer, 225-234

M. Ganzha, S. G. Sedukhin, M. Paprzycki (2011) Object Oriented Model of Generalized Matrix Multipication. M. Ganzha, et.al. (eds.), Proceedings of the 2011 Federated Conference on Computer Science and Information Systems, IEEE CS Press, Los Alamitos, CA, 429-442

P. Stpiczynski,
M. Paprzycki (2005)
Numerical
Software for Solving Dense Linear Algebra Problems on High
Performance Computers. Proceedings of the 4^{th}
International Conference APLIMAT 2005, Slovak University of
Technology, Bratislava, 207-218

M. Paprzycki, C.
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

M. Paprzycki (1995) Parallel Gaussian
Elimination Algorithms on a Cray Y-MP. *Informatica*, Vol.
19, No. 2, 235-240

M. Paprzycki, C.
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

M. Paprzycki (1992) Comparison of Gaussian Elimination
Algorithms on a Cray Y-MP. *Linear Algebra and Its
Applications*, 172, 57-69

C. Cyphers,
M. Paprzycki (1992)
Parallel Matrix
Multiplication-Can We Learn Anything New? *CHPC
Newsletter*, Vol.7, No.4, 55-59

C. Cyphers,
M. Paprzycki (1991)
Multiplying Matrices on the
Cray-Practical Considerations. *CHPC Newsletter*, Vol. 6,
No. 6, 77-82

C. Cyphers,
M. Paprzycki (1991) Gaussian
Elimination on Cray Y-MP. *CHPC Newsletter*, Vol. 6, No.
4, 43-47