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GUChuan-qing 《上海大学学报(英文版)》2001,5(1):11-14
A recursive rational algorithm for matrix exponentials was botained by making use of the generalized inverse of a matrix in this paper.On the basis of the n-th convergence of thiele-type continued fraction expansion,a new type of the generalized inverse matrix-valued pade approximant(GMPA)for matrix exponentials was defined and its remainder formula was proved.The resuts of this paper were illustrated by some examples. 相似文献
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1 Introduction Letf(x ,λ)beagivenpowerserieswithfunction valuedcoefficients,f(x ,λ) =c0 (x) c1(x)λ c2 (x)λ2 … cn(x)λn … (1)wherecj(x)isarealorcomplexfunctionwithre specttox∈ (a ,b) .Suppoethatf(x ,λ)isanalyticasafunctionofλattheoriginλ =0 . Chisholm[1] pointedoutPad啨approximantmethodcanbeusedforobtainingthesolutionofawkwardin tegralequations,andespeciallythosewhichpossessageneratingfunctionoftheform (1) ,sinceth… 相似文献
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An interval Pade-type approximation is introduced and then Routh-Pade-type method (IRPTM) is presented to model reduction in interval systems. The denominator in reduced model is obtained from the stable Routh table, and its numerator is constructed by the interval Pade-type definition. Compared to the existing Routh-Pade method, IRPTM does not need to solve linear interval equations theoretical analysis shows that IRPTM has example is given to illustrate our method. Hence, we do not have to compute smaller computational cost than that interval division in the process. Moreover, of Routh-Pade method. A typical numerical 相似文献
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The generalized inverse function-valued Pade approximant was defined to solve the integral equations. However, it is difficult to compute the approximants by some high-order determinant formulas. In this paper, to simplify computation of the function-valued Pade approximants, an efficient Pfaffian formula for the determinants was extended from the matrix form to the function-valued form. As an important application, a Pfaffian formula of [4/4] type Pade approximant was established. 相似文献
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