An extended set of FORTRAN basic linear algebra subprograms
ACM Transactions on Mathematical Software (TOMS)
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
SIAM Review
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
Parallel programming in OpenMP
Parallel programming in OpenMP
LAPACK Working Note 37: Two Dimensional Basic Linear Algebra Communication Subprograms
LAPACK Working Note 37: Two Dimensional Basic Linear Algebra Communication Subprograms
Numerical experiments on the solution of the inverse additive singular value problem
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
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The problem tackled in this paper is the parallel construction of a unit triangular matrix with prescribed singular values, when these fulfill Weyl's conditions [9]; this is a particular case of the Inverse Singular Value Problem. A sequential algorithm for this problem was proposed in [10] by Kosowsky and Smoktunowicz. In this paper parallel versions of this algorithm will be described, both for shared memory and distributed memory architectures. The proposed parallel implementation is better suited for the shared memory paradigm; this is confirmed by the numerical experiments; the shared memory version, reaches an efficiency over 90%, and reduces substantially the execution times compared with the sequential algorithm.