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2004•Journal of Huaihai Institute of TechnologyRequires access

Parallel Algorithm of Restarting Block Davidson MethodBased on PC Network Parallel Environment

Wang Shun-xu

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Abstract

A parallel restarting block Davidson method is presented in this paper for calculating extreme eigenpairs of large sparse matrix A based on PC network parallel environment. The individual processors run under the control of a program base on the partial orthogonal base of projection subspace V. If the dimension of the subspace V is greater than m, the subspace V is constructed with new Ritz vector, and the iteration is restarting. MPI is installed in the operation system of windows 2000 on microcomputers to construct a PC network parallel computing environment. The results of numerical experiments show that the algorithm is highly effective.

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What this paper is about

A parallel restarting block Davidson method is presented in this paper for calculating extreme eigenpairs of large sparse matrix A based on PC network parallel environment. The individual processors run under the control of a program base on the partial orthogonal base of projection subspace V. If the dimension of the subspace V is greater than m, the subspace V is constructed with new Ritz vector, and the iteration is restarting. MPI is installed in the operation system of windows 2000 on microcomputers to construct a PC network parallel computing environment. The results of numerical experiments show that the algorithm is highly effective.

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Available abstract

A parallel restarting block Davidson method is presented in this paper for calculating extreme eigenpairs of large sparse matrix A based on PC network parallel environment. The individual processors run under the control of a program base on the partial orthogonal base of projection subspace V. If the dimension of the subspace V is greater than m, the subspace V is constructed with new Ritz vector, and the iteration is restarting. MPI is installed in the operation system of windows 2000 on microcomputers to construct a PC network parallel computing environment. The results of numerical experiments show that the algorithm is highly effective.

Key concepts: Subspace topology, Block (permutation group theory), Construct (python library), Computer science, Algorithm, Dimension (graph theory), Parallel computing, Base (topology)

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