The cache performance and optimizations of blocked algorithms
ASPLOS IV Proceedings of the fourth international conference on Architectural support for programming languages and operating systems
MOB forms: a class of multilevel block algorithms for dense linear algebra operations
ICS '94 Proceedings of the 8th international conference on Supercomputing
Auto-blocking matrix-multiplication or tracking BLAS3 performance from source code
PPOPP '97 Proceedings of the sixth ACM SIGPLAN symposium on Principles and practice of parallel programming
Improving memory hierarchy performance for irregular applications
ICS '99 Proceedings of the 13th international conference on Supercomputing
Nonlinear array layouts for hierarchical memory systems
ICS '99 Proceedings of the 13th international conference on Supercomputing
Automatically tuned linear algebra software
SC '98 Proceedings of the 1998 ACM/IEEE conference on Supercomputing
Ahnentafel Indexing into Morton-Ordered Arrays, or Matrix Locality for Free
Euro-Par '00 Proceedings from the 6th International Euro-Par Conference on Parallel Processing
Using non-canonical array layouts in dense matrix operations
PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
Compiler-optimized kernels: an efficient alternative to hand-coded inner kernels
ICCSA'06 Proceedings of the 2006 international conference on Computational Science and Its Applications - Volume Part V
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We present the way in which we adapt data and computations to the underlying memory hierarchy by means of a hierarchical data structure known as hypermatrix. The application of orthogonal block forms produced the best performance for the platforms used.