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Original Articles

4th degree algebraic hermite–padé approximation to the exponential function

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Pages 35-48 | Received 27 Jan 2003, Published online: 08 Jun 2010

References

  • Borwein , P. B. (1986) . Quadratic Hermite-Padé approximation to the exponential function . Constr. Approx. , 2 : 291 – 302 .
  • Braess , D. (1984) . On the conjecture of Meinardus on rational approximation of e x , II . J. Approx. Theory , 40 : 375 – 379 .
  • Drive , K. (1995) . Nondiagonal quadratic Hermite-Padé approximation to the exponential function . J. Comp. Appl. Math. , 65 : 125 – 134 .
  • Hermite , Ch. (1883) . Sur la généralisation des fractions continues algébriques . Ann. Mat. Pura Appl., Ser. 2A , 21 : 289 – 308 .
  • Pólya G. Szegö G. Problems and Thoerems in Analysis, I Springer-Verlag Berlin (1972)
  • Trefethen , L. N. (1984) . The asymptotic accuracy of rational best approximation to e z on a disk . J. Approx. Theory , 40 : 380 – 383 .
  • Zheng Cheng-de Wang Ren-hong Diagonal cubic Hermite-Padé approximation to the exponential function (submitted)

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