On reduction schemes and the symmetry of
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Ren, Gexue ;Cheng, Jiangang ;Jinwu, Xiang ;Lu, Qiuhai
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Article
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1999
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John Wiley and Sons
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English
β 88 KB
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In this paper, Lanczos and Arnoldi reduction methods as the special cases of the generalized Hessenberg method are brieΒ―y reviewed. Attention is paid to the eect of symmetry of matrices on the behaviour of the reduction schemes, such as serious numerical breakdown. Based on the summation decompositi