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1 IntroductionIn some applications such as computational phySics, one often computes det~inant Ofmatrix and trace Of function of matrix. For ~ fun~ such as f(x) ~1/x or f(x) In (x) computing tr(f(A) ),i. e. tr(A--' ) or In(det(A) ) respeCtively, may be highly sensitiveproblems. When the matrix she n is small, we can compute these problemS explicits by usaldense ~x computation methods L6J. General speaking, such methods require O(n3) floating point OPerations. However, when n atomes larg…  相似文献   
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