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中文核心期刊
Fengqiang Shen. An optimal algorithm of the generalized jacobi method[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 319-324. DOI: 10.6052/0459-1879-2010-2-2008-043
Citation: Fengqiang Shen. An optimal algorithm of the generalized jacobi method[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 319-324. DOI: 10.6052/0459-1879-2010-2-2008-043

An optimal algorithm of the generalized jacobi method

  • An optimal algorithm of the generalized Jacobi method is developed to solvethe generalized eigen-problems in the finite element analysis of structuralproblems. Novel operations in this optimal algorithm are adopted to definethe threshold estimation for the off-diagonal elements and the convergencycriteria in the sweeping iterations, so that the present algorithm isapplicable to the original structural problems, not only with thepositive-definite matrices, but also with the general symmetric matrices solong as their eigenvalues are all real numbers. This paper has proved theoptimal algorithm mathematically.
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