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Applied Parallel Computing. State of the Art in Scientific by Richard P. Brent (auth.), Jack Dongarra, Kaj Madsen, Jerzy

By Richard P. Brent (auth.), Jack Dongarra, Kaj Madsen, Jerzy Waśniewski (eds.)

Introduction The PARA workshops some time past have been dedicated to parallel computing equipment in technological know-how and expertise. there were seven PARA conferences to this point: PARA’94, PARA’95 and PARA’96 in Lyngby, Denmark, PARA’98 in Umea, ? Sweden, PARA 2000 in Bergen, N- means, PARA 2002 in Espoo, Finland, and PARA 2004 back in Lyngby, Denmark. The ?rst six conferences featured lectures in sleek numerical algorithms, desktop technological know-how, en- neering, and business functions, all within the context of scienti?c parallel computing. This assembly within the sequence, the PARA 2004 Workshop with the name “State of the paintings in Scienti?c Computing”, used to be held in Lyngby, Denmark, June 20–23, 2004. The PARA 2004 Workshop was once geared up by means of Jack Dongarra from the collage of Tennessee and Oak Ridge nationwide Laboratory, and Kaj Madsen and Jerzy used to be ´niewski from the Technical college of Denmark. The emphasis the following was once shifted to high-performance computing (HPC). the continuing improvement of ever extra complex desktops presents the possibility of fixing more and more dif?cult computational difficulties. besides the fact that, given the complexity of recent computing device architectures, the duty of understanding this capability wishes cautious cognizance. for instance, the failure to take advantage of a computer’s reminiscence hello- archy can degrade functionality badly. a primary difficulty of HPC is the improvement of software program that optimizes the functionality of a given laptop. The excessive fee of cutting-edge desktops could be prohibitive for plenty of offices, specially if there's in basic terms an occasional desire for HPC.

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Additional info for Applied Parallel Computing. State of the Art in Scientific Computing: 7th International Workshop, PARA 2004, Lyngby, Denmark, June 20-23, 2004. Revised Selected Papers

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D. E. html . 19. T. Kumada, H. Leeb, Y. Kurita and M. Matsumoto, New primitive t-nomials (t = 3, 5) over GF(2) whose degree is a Mersenne exponent, Math. Comp. 69 (2000), 811–814. Corrigenda: ibid 71 (2002), 1337–1338. 20. P. L’Ecuyer, Random numbers for simulation, Comm. ACM 33, 10 (1990), 85–97. 21. P. L’Ecuyer, Tables of maximally equidistributed combined LFSR generators, Mathematics of Computation 68 (1999), 261–269. 22. P. L’Ecuyer, Random number generation, Chapter 2 of Handbook of Computational Statistics, J.

217-221. 2. R. C. Agarwal, F. G. Gustavson, M. Zubair. Exploiting functional parallelism of POWER2 to design high-performance numerical algorithms. IBM Journal of Research and Development, Vol. 38, No. 5, Sep. 1994, pp. 563–576. 3. S. Andersen, J. Gunnels, F. Gustavson, J. Reid, and J. Wa´sniewski. A fully portable high performance minimal storage hybrid format cholesky algorithm. id=3173, Informatics and Mathematical Modelling, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark. It is already published in: The Transaction of Mathematical Software of ACM (TOMS), vol.

Op(A)X or Xop(A), where op(A) can be A or AT . The SYCT equation discussed earlier is one of them. Two-sided matrix equations include matrix product terms of type op(A)Xop(B), and examples are the discrete-time standard and generalized Sylvester and Lyapunov equations. In total, 42 different cases of eight equations (three one-sided and five two-sided) are solved by the library, either in serial or in parallel using OpenMP. The library includes superscalar kernels, much faster than traditional SLICOT [18] or LAPACK kernels.

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