New PDF release: Advances in Computational Complexity Theory

By Jin-Yi Cai

ISBN-10: 0821865978

ISBN-13: 9780821865972

This selection of contemporary papers on computational complexity conception grew out of actions in the course of a different yr at DIMACS. With contributions by means of a number of the best specialists within the box, this e-book is of lasting price during this fast-moving box, offering expositions no longer stumbled on somewhere else. even though aimed basically at researchers in complexity idea and graduate scholars in arithmetic or machine technological know-how, the ebook is offered to somebody with an undergraduate schooling in arithmetic or desktop technological know-how. via bearing on the various significant issues in complexity concept, this booklet sheds mild in this burgeoning zone of analysis.

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19. 19 which indicate more than ideal speed-up factors. In this work, a processor will generate a complete element stiffness matrix even though it may need only a portion of it. This kind of a "redundant computation" may be reduced when more processors are used. f. f. per element. f. are stored in one processor, it is generally true to state that the same element should be shared by AT LEAST three (24/8=3) processors, or AT MOST (the worst case) by eight processors. f. solid element, the speed-up for generation and assembly is AT BEST NP/3, or AT WORST NP/8.

47 Due T. 15 is not included here. 18 that in general, larger block size k will lead to higher speedup, because there will be fewer elements that contribute to more than one processors. The price one has to pay is, however, more memory will be required for larger block size (to be discussed and explained in Chapter 7). The block size will also have the effects on the performance of the equation solver, which will be discussed in Chapter 7. 19. 19 which indicate more than ideal speed-up factors.

2/3, pp. 197-201, 1991. E. , "Parallel-Vector Equation Solver for Unsymmetric Matrices on Supercomputers," Proceedings of the NASA-USAF Symposium on Parallel Methods on Large-Scale Structural Analysis and Physics Applications, Hampton, VA, February 5-6, 1991. , "A New Parallel-Vector Finite Element Analysis Software on Distributed Memory Computers," Proceedings of the AlAA/ASME/ASCE/AHS 34th SDM Conference, La Jolla, CA (April 19-22, 1993). , Qin, J. , "Performance ofNIKE3D with PVSOLVE on Vector and Parallel Computers," Computing Systems In Engineering Journal (1995).

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Advances in Computational Complexity Theory by Jin-Yi Cai

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