A-acceptability of derivatives of rational approximations to EXP(Z) |
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Authors: | A. Iserles,S. P. N rsett |
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Affiliation: | King''s College, University of Cambridge, Cambridge CB2 1ST, England;Institutt for Numerisk Matematikk, Norges Tekniske Høgskole, 7034 Trondheim-NTH, Norway |
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Abstract: | The question of A-acceptability in regard to derivatives of Rm/n, the [m/n] Padé approximation to the exponential, is examined for a range of values of m and n. It is proven that R′n − 1/n, R′n/n, R′n + 1/nand R″n/n are A-acceptable and that numerous other choices of m and n lead to non-A-acceptability. The results seem to indicate that the A-acceptability pattern of Rm/n(k) displays an intriguing generalization of the Wanner-Hairer-Nørsett theorem on the A-acceptability of Rm/n. |
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