New scalar and vector elementary functions for the IBM system/370
IBM Journal of Research and Development
A set of level 3 basic linear algebra subprograms
ACM Transactions on Mathematical Software (TOMS)
Exploiting functional parallelism of POWER2 to design high-performance numerical algorithms
IBM Journal of Research and Development
IBM Journal of Research and Development
Matrix computations (3rd ed.)
ScaLAPACK user's guide
Recursion leads to automatic variable blocking for dense linear-algebra algorithms
IBM Journal of Research and Development
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
Tiling, Block Data Layout, and Memory Hierarchy Performance
IEEE Transactions on Parallel and Distributed Systems
High-performance linear algebra algorithms using new generalized data structures for matrices
IBM Journal of Research and Development
A fully portable high performance minimal storage hybrid format Cholesky algorithm
ACM Transactions on Mathematical Software (TOMS)
Concurrency and Computation: Practice & Experience
Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization
IEEE Transactions on Parallel and Distributed Systems
Design and exploitation of a high-performance SIMD floating-point unit for Blue Gene/L
IBM Journal of Research and Development
Minimal data copy for dense linear algebra factorization
PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
In-place transposition of rectangular matrices
PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
Parallel and Cache-Efficient In-Place Matrix Storage Format Conversion
ACM Transactions on Mathematical Software (TOMS)
New level-3 BLAS kernels for cholesky factorization
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part I
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Over the past five years almost all computer manufacturers have dramatically changed their computer architectures to Multicore (MC) processors. We briefly describe Cache Blocking as it relates to computer architectures since about 1985 by covering the where, when, how and why of Cache Blocking as it relates to dense linear algebra. It will be seen that the arrangement in memory of the submatrices Aij of A that are being processed is very important.