Applied Parallel Computing. New Paradigms for HPC in by Jari Järvinen, Juha Haataja, Jari Hämäläinen (auth.), Tor

By Jari Järvinen, Juha Haataja, Jari Hämäläinen (auth.), Tor Sørevik, Fredrik Manne, Assefaw Hadish Gebremedhin, Randi Moe (eds.)

The papers during this quantity have been offered at PARA 2000, the 5th overseas Workshop on utilized Parallel Computing. PARA 2000 used to be held in Bergen, Norway, June 18-21, 2000. The workshop used to be equipped via Parallab and the dept of Informatics on the collage of Bergen. the overall subject for PARA 2000 was once New paradigms for HPC in and academia targeting: { High-performance computing functions in academia and undefined, { using Java in high-performance computing, { Grid and Meta computing, { instructions in high-performance computing and networking, { schooling in Computational technological know-how. The workshop integrated nine invited shows and 39 contributed pres- tations. The PARA 2000 assembly begun with a one-day instructional on OpenMP programming led via Timothy Mattson. This used to be by means of a three-day wor- hop. The rst 3 PARA workshops have been held on the Technical collage of Denmark (DTU), Lyngby (1994, 1995, and 1996). Following PARA’96, an - ternational guidance committee for the PARA conferences used to be appointed and the committee made up our minds workshop should still happen each moment 12 months in a single of the Nordic international locations. The 1998 workshop used to be held at Ume a college, Sweden. One vital goal of those workshops is to reinforce the binds among HPC facilities, academia, and within the Nordic nations in addition to around the world. The collage of Bergen equipped the 2000 workshop and the subsequent workshop within the 12 months 2002 will ensue on the Helsinki college of know-how, Espoo, Finland.

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With Java’s expressiveness however, 2 3 The fdlibm library is the free math library distributed by Sun. Fdlibm is considerably more stable, to a greater degree correct, and much more easily portable than the libm libraries available on most platforms. For numbers between 2k and 2k+1 , 1 ulp = 2k−52 . 28 M. Philippsen et al. complex numbers can only be realized in the form of a Complex class, whose objects contain two double values. Complex valued arithmetic must then be expressed by means of complicated method calls, as in the following code fragment.

In order to face up to this development, Sun offers two wrapper methods for the fdlibm functions realized in C, which should make it simpler to achieve fdlibm results on all platforms. The first complete implementation of fdlibm in Java is due to John Brophy of Visual Numerics, making it possible to forswear the wrapper methods in the future [1]. An ideal math library would deliver foating point numbers, that at the most deviate 0,5 ulp (unit in the last place) from the actual result,3 this means they have been as well-rounded off as possible.

2 RSYRK RSYRK is a recursive formulation of SYRK, where is a precision and arithmetic indicator: S, D, C or Z. SYRK performs one of the symmetric rank k operations: C := αAAT + βC or C := αAT A + βC where α and β are scalars. A is a rectangular matrix (m × n). C is a square symmetric matrix. We will introduce the recursive formulation only for one of the four cases of SYRK: C := αAAT + βC. S. Andersen et al. The matrices A and C can be partitioned into smaller submatrices: C11 C21 C22 =β C11 C21 C22 +α A11 A12 A21 A22 A11 A12 A21 A22 T .

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