کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
519193 867645 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A block Chebyshev–Davidson method with inner–outer restart for large eigenvalue problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A block Chebyshev–Davidson method with inner–outer restart for large eigenvalue problems
چکیده انگلیسی

We propose a block Davidson-type subspace iteration using Chebyshev polynomial filters for large symmetric/hermitian eigenvalue problem. The method consists of three essential components. The first is an adaptive procedure for constructing efficient block Chebyshev polynomial filters; the second is an inner–outer restart technique inside a Chebyshev–Davidson iteration that reduces the computational costs related to using a large dimension subspace; and the third is a progressive filtering technique, which can fully employ a large number of good initial vectors if they are available, without using a large block size. Numerical experiments on several Hamiltonian matrices from density functional theory calculations show the efficiency and robustness of the proposed method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 229, Issue 24, 10 December 2010, Pages 9188–9200
نویسندگان
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