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The Improved Block Jacobi-Davidson Method for Solving Large Symmetric Eigenvalue Problems

Author: KangYanYan
Tutor: DaiHua
School: Nanjing University of Aeronautics and Astronautics
Course: Computational Mathematics
Keywords: Symmetric matrix Eigenvalue problem Block Jacobi-Davidson method Shrink Technology Methods to reconcile
CLC: O241.6
Type: Master's thesis
Year: 2010
Downloads: 45
Quote: 0
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Block Jacobi-Davidson method is to calculate heavy or dense symmetric matrix eigenvalues ??effective methods. The method may also calculate the number of characteristics on an extreme , but generated in the iterative process has converged , the Ritz number of iterations will still participate in subsequent operation , which reduces the overall convergence rate of the method , and secondly , the block Jacobi-Davidson method calculating eigenvalues ??within a large amount of calculation . In order to improve the block Jacobi-Davidson method overall convergence rate , this paper dynamic contraction technique proposed dynamic contraction block Jacobi-Davidson method ; large symmetric matrix in order to calculate the internal characteristics of the paper will reconcile the Rayleigh-Ritz method and block Jacobi- Davidson method is proposed by combining reconcile block Jacobi-Davidson method and technology used to reconcile dynamic contraction block Jacobi-Davidson method , gives the dynamic contraction reconcile block Jacobi-Davidson method . Correction equations is the block Jacobi-Davidson type approach is the key , this is equivalent to using the correction equation augmented correction equation into the form of the classic saddle point problems , and their use of appropriate pretreatment technology . Numerical results show that dynamic contraction block Jacobi-Davidson method is superior to the block Jacobi-Davidson method , dynamic contraction reconcile block Jacobi-Davidson method can efficiently compute large symmetric matrix of internal heavy or dense eigenvalues ??.

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > Linear algebra method of calculating
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