Peter Wynn (1931—2017) was an English mathematician. His main achievements concern approximation theory – in particular the theory of Padé approximants – and its application in numerical methods for improving the rate of convergence of sequences of real numbers.

Publications

  1. Wynn, P. (1956). "A note on Salzer's method for summing certain convergent series". J. Math. Phys. 35: 318–320. doi:. MR .
  2. Wynn, Peter (1956). "On a procrustean technique for the numerical transformation of slowly convergent sequences and series". Mathematical Proceedings of the Cambridge Philosophical Society. 52 (4): 663–671. Bibcode:. doi:. MR . S2CID .
  3. Wynn, Peter (1956). "On a device for computing the em(Sn) transformation". Mathematical Tables and Other Aids to Computation. 10 (54): 91–96. doi:. JSTOR . MR .
  4. Wynn, P. (1956). . Mathematical Tables and Other Aids to Computation. 10 (54): 97–100. doi:. MR .
  5. Wynn, P. (1956). "Central difference and other forms of the Euler transformation". The Quarterly Journal of Mechanics and Applied Mathematics. 9 (2): 249–256. doi:. MR .
  6. Wynn, Peter (1959). "On the propagation of error in certain non-linear algorithms". Numerische Mathematik. 1 (1): 142–149. doi:. MR . S2CID .
  7. Wynn, Peter (1959). "A sufficient condition for the instability of the q-d algorithm". Numerische Mathematik. 1 (1): 203–207. doi:. MR . S2CID .
  8. Wynn, P. (1959). "Converging factors for continued fractions". Numerische Mathematik. 1: 272–320. doi:. MR . S2CID .
  9. Wynn, Peter (1960). "Über einen Interpolations-algorithmus und gewisse andere Formeln, die in der Theorie der Interpolation durch rationale Funktionen bestehen". Numerische Mathematik. 2: 151–182. doi:. MR . S2CID .
  10. Wynn, Peter (1960). . Mathematical Tables and Other Aids to Computation. 14 (70): 147–186. doi:. JSTOR . MR .
  11. Wynn, Peter (1960). "Confluent forms of certain non-linear algorithms". Archiv der Mathematik. 11: 233–236. doi:. MR . S2CID .
  12. Wynn, Peter (1960). "A note on a confluent form of the ε-algorithm". Archiv der Mathematik. 11 (1): 237. doi:. MR . S2CID .
  13. Wynn, Peter (1961). "On the tabulation of indefinite integrals". BIT. Nordisk Tidskift for Information-behandling. 1 (4): 286–290. doi:. S2CID .
  14. Wynn, Peter (1961). "L'ε-algorithmo e la tavola di Padé". Rend. Di Mat. Roma. 20: 403. MR .
  15. Wynn, Peter (1961). . Mathematics of Computation. 15 (74): 151–158. doi:. JSTOR . MR . Archived from on 2011-07-18.
  16. Wynn, Peter (1961). . Chiffres. 4: 19–22. MR . Archived from on 2011-07-18.
  17. Wynn, Peter (1961). "The numerical transformation of slowly convergent series by methods of comparison". Chiffres. 4: 177–210. MR .
  18. Wynn, Peter (1961). "A sufficient condition for the instability of the ε-algorithm". Nieuw Arch. Wiskunde. 9 (3): 117–119. MR .
  19. Wynn, Peter (1962). . American Mathematical Monthly. 69 (9): 883–889. doi:. JSTOR . MR .
  20. Wynn, Peter (1962). . Proceedings of the Glasgow Mathematical Association. 5: 160–165. doi:. MR .
  21. Wynn, Peter (1962). . Mathematics of Computation. 16 (79): 301–322. doi:. JSTOR . MR .
  22. Wynn, Peter (1962). "A comparison technique for the numerical transformation of slowly convergent series based on the use of rational functions". Numerische Mathematik. 4 (1): 8–14. doi:. MR . S2CID .
  23. Wynn, Peter (1962). "Note on the solution of a certain boundary-value problem". BIT. 2 (1): 61–64. doi:. MR . S2CID .
  24. Wynn, Peter (1962). . BIT. 2 (4): 232–255. doi:. MR . S2CID .
  25. Wynn, Peter (1962). "The numerical transformation of slowly convergent series by methods of comparison. II". Chiffres. 5: 65–88. MR .
  26. Wynn, Peter (1963). (PDF). BIT. 3 (3): 175–195. doi:. S2CID . Archived from (PDF) on 2011-07-18.
  27. Wynn, Peter (1963). "Note on a converging factor for a certain continued fraction". Numerische Mathematik. 5 (1): 332–352. doi:. S2CID .
  28. Wynn, Peter (1963). . Archive for Rational Mechanics and Analysis. 12 (1): 273–312. Bibcode:. doi:. S2CID .
  29. Wynn, Peter (1964). . Zeitschrift für Angewandte Mathematik und Physik. 15 (3): 273–289. Bibcode:. doi:. S2CID .
  30. Wynn, Peter (1964). . Numerische Mathematik. 6 (1): 22–36. doi:. S2CID . Archived from on 2011-07-18.
  31. Wynn, Peter (1964). . Journal of the Society for Industrial and Applied Mathematics, Series B: Numerical Analysis. 1 (1): 177–197. Bibcode:. doi:. JSTOR .
  32. Wynn, Peter (1965). "A note on programming repeated application of the epsilon-algorithm". Chiffres. 8: 23–62. MR .
  33. Wynn, Peter (1966). "Upon systems of recursions which obtain among the quotients of the Padé table". Numerische Mathematik. 8 (3): 264–269. doi:. S2CID .
  34. Wynn, Peter (1966). "On the convergence and stability of the epsilon algorithm". SIAM Journal on Numerical Analysis. 3 (1): 91–122. Bibcode:. doi:.
  35. Wynn, Peter (1966). "On the computation of certain functions of large argument and parameter". BIT. 6 (3): 228–259. doi:. S2CID .
  36. Wynn, Peter (1967). "A general system of orthogonal polynomials". The Quarterly Journal of Mathematics. 18 (1): 81–96. Bibcode:. doi:.
  37. Wynn, Peter (1968). "Upon the Padé table derived from a Stieltjes series". SIAM Journal on Numerical Analysis. 5 (4): 805–834. Bibcode:. doi:. JSTOR .
  38. Wynn, Peter (1968). . Linear Algebra and Its Applications. 1 (3): 357–395. doi:.
  39. Wynn, Peter (1969). "Zur Theorie der mit gewissen speziellen Funktionen verknüpften Padéschen Tafeln". Mathematische Zeitschrift. 109 (1): 66–77. doi:. S2CID .
  40. Wynn, Peter (1971). . The Computer Journal. 14 (4): 437–441. doi:.
  41. Wynn, Peter (1971). "A transformation of series". Calcolo. 8 (3): 255–272. doi:. S2CID .
  42. Wynn, Peter (1971). "Difference-differential recursions for Padé quotients". Proceedings of the London Mathematical Society. s3-23 (2): 283–300. doi:.
  43. Wynn, Peter (1972). "Convergence acceleration by a method of intercalation". Computing. 9 (4): 267–273. doi:. S2CID .
  44. Wynn, Peter (1972). "Invariants associated with the epsilon algorithm and its first confluent form". Rendiconti del Circolo Matematico di Palermo. 21 (1–2): 31–41. doi:. S2CID .
  45. Wynn, Peter (1973). "Upon some continuous prediction algorithms. II". Calcolo. 9 (4): 235–278. doi:. S2CID .
  46. Wynn, Peter (1974). . Rocky Mountain Journal of Mathematics. 4 (2): 297–324. doi:.
  47. Wynn, Peter (1976). "The algebra of certain formal power series". Rivista di Matematica della Università di Parma. 2 (4): 155–176. MR .
  48. Wynn, Peter (1976). "A convergence theory of some methods of integration". J. Reine Angew. Math. 1976 (285): 181–208. doi:. MR . S2CID .
  49. Wynn, Peter (1977). "The calculus of finite differences over certain systems of numbers". Calcolo. 14 (4): 303–341. doi:. MR . S2CID .
  50. Wynn, Peter (1981). "The convergence of approximating fractions". Bol. Soc. Mat. Mexicana. 26 (2): 57–71. MR .
  51. Wynn, Peter (1981). "The work of E. B. Christoffel on the theory of continued fractions". In Butzer, P. L.; Fehér, F (eds.). E. B. Christoffel: The Influence of His Work on Mathematics and the Physical Sciences. Birkhäuser Verlag. ISBN 3-7643-1162-2. MR .

Reference books

  • C. Brezinski and M. Redivo-Zaglia: "The genesis and early developments of Aitken’s process, Shanks' transformation, the epsilon algorithm, and related fixed point methods", Numer. Algorithms, vol.80 (2019) pp.11-133.
  • C. Brezinski: "Reminiscences of Peter Wynn", Numer. Algorithms, vol.80 (2019) pp.5–11.
  • C. Brezinski and M. Redivo-Zaglia: ”Extrapolation and rational interpolation, the works of the main contributors”, Springer, 2020.

External links

  • Brezinski, Claude (2010). (PDF). The Birth of Numerical Analysis. World Scientific. ISBN 978-981-283-625-0. Archived from (PDF) on 2012-03-10.
  • at the Mathematics Genealogy Project