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《Journal of Xiamen University(Natural Science)》 2010-01
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Refined Arnoldi Method for Large Symmetric Eigenproblems

CHEN Gui-zhi~1,YE Li-ying~2 (1.School of Mathematical Sciences,Xiamen University,Xiamen 361005,China; 2.School of Sciences,Jimei University,Xiamen 361021,China)  
First,we point out that when the refined Arnoldi method is used to compute eigenvectors of a symmetrix matrix corresponding to close eigenvalues,the computed refined Ritz vectors may not be orthonal.Then the cure for the problem is to orthogonalize the refined Ritz vectors using the Gram-Schmidt algorithm.Finally the numerical experiments show that our conclusion is reliable and the cure is efficient.
【CateGory Index】: O241.6
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