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摘要
En 中文
The purpose of our paper is to discuss basis selection for Knyazev's locally optimal block preconditioned conjugate gradient (LOBPCG) method. An inappropriate choice of basis can lead to ill-conditioned Gram matrices in the Rayleigh-Ritz analysis that can delay convergence or produce inaccurate eigenpairs. We demonstrate that the choice of basis is not merely related to computing in finite precision arithmetic. We propose a representation that maintains orthogonality of the basis vectors and so has excellent numerical properties. Published by Elsevier Inc.
Keyword:
symmetric generalized eigenvalue problem
preconditioned eigensolver
orthonormalization
LOBPCG
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IF:
3.8
论文数:
1.6W
被引数:
7.4W
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