PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
Parallel programming with MPI
Parallel Algorithms and Matrix Computation
Parallel Algorithms and Matrix Computation
Solving Linear Systems on Vector and Shared Memory Computers
Solving Linear Systems on Vector and Shared Memory Computers
Parallel Algorithms for Solving Linear Recurrence Systems
CONPAR '92/ VAPP V Proceedings of the Second Joint International Conference on Vector and Parallel Processing: Parallel Processing
LAPACK Working Note 73: Basic Linear Algebra Communication Subprograms: Analysis and Implementation Across Multiple Parallel Architectures
LAPACK Working Note 94: A User''s Guide to the BLACS v1.0
LAPACK Working Note 94: A User''s Guide to the BLACS v1.0
A note on the numerical inversion of the laplace transform
PPAM'05 Proceedings of the 6th international conference on Parallel Processing and Applied Mathematics
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In this paper we present a new efficient algorithm for solving linear recurrence systems with constant coefficients on distributed memory machines and clusters of workstations. The algorithm is based on level 3 and level 1 BLAS (Basic Linear Algebra Subprograms) routines _GEMM and _AXPY. We also discuss its platform-independent implementation with BLACS (Basic Linear Algebra Communication Subprograms) and finally present the results of experiments performed on a cluster of Pentium II computers running under Linux with operating system with MPI (Message-Passing Interface) and compare the results with the performance of a simple divide-and-conquer algorithm proposed in our earlier work.