A(α)-ACCEPTABILITY OF RATIONAL APPROXIMATIONS TO FUNCTION exp(z)
Yang Fengjian;Chen Xinming
【期刊名称】《分析、理论与应用（英文版）》 【年(卷),期】2001(017)003
【摘要】In this paper, two necessary and sufficient conditions, and asufficient condition of A (a)-acceptability for (n,m) rational approximation to function exp(z) are given, where a∈ (0, π/2). A necessary and sufficient condition of A-acceptability for (n,m) rational approximation to exp(z) of order p is obtained, where n≤m≤p.CLC Number：O17 Document ID：AReferences：[1]Ralston,A. ,A first Course in Numerical Analysis,Mc Graw-Hill,1965.[2]Saff,E. B. and Varga,R.S. ,On the Zeros and Poles of Padé Approximations to exp(x),Numer. Math. ,25(1975),1,1-4.[3]Wanner,G. ,Hairer,E. and Nqrsett,P. ,Order Stars and Stability Theorems,BIT,18(1978),4,475-489.[4]Yang Fengjian and Chen Xinming,A (a)-acceptability of Padé Approximations to Function exp (q). Approx. Thory & its Appl.,15 (1999)3,92- 99.[5]Liniger,W. and Willoughby,R. A.,Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations,SIAM J. Numer. Anal. ,7(1970),1,47- 66.[6]Li
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A(α)-ACCEPTABILITY OF RATIONAL APPROXIMATIONS TO FUNCTION exp(z)
