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, Paweł 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 4th 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