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New method for parallel computation of Hessian matrix of conformational energy function in internal coordinates

✍ Scribed by Shugo Nakamura; Daisuke Kyono; Mitsunori Ikeguchi; Kentaro Shimizu


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
195 KB
Volume
23
Category
Article
ISSN
0192-8651

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✦ Synopsis


Abstract

A new algorithm for parallel calculation of the second derivatives (Hessian) of the conformational energy function of biomolecules in internal coordinates is proposed. The basic scheme of this algorithm is the division of the entire calculation of the Hessian matrix (called β€œtask”) into subtasks and the optimization of the assignment of processors to each subtask by considering both the load balancing and reduction of the communication cost. A genetic algorithm is used for this optimization considering the dependencies between subtasks. We applied this method to a glutaminyl transfer RNA (Gln‐tRNA) molecule for which the scalability of our previously developed parallel algorithm was significantly decreased when the large number of processors was used. The speedup for the calculation was 32.6 times with 60 processors, which is considerably better than the speedup for our previously reported parallel algorithm. The elapsed time for the calculation of subtasks, data sending, and data receiving was analyzed, and the effect of the optimization using the genetic algorithm is discussed. Β© 2002 Wiley Periodicals, Inc. J Comput Chem 23: 463–469, 2002; DOI 10.1002/jcc.10039


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✍ Nakamura, Shugo; Ikeguchi, Mitsunori; Shimizu, Kentaro πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 219 KB πŸ‘ 1 views

A parallel algorithm for efficient calculation of the second Ε½ . derivatives Hessian of the conformational energy in internal coordinates is proposed. This parallel algorithm is based on the masterrslave model. A master processor distributes the calculations of components of the Hessian to one or mo