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Peter Wynn (mathematician)

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This is an old revision of this page, as edited by Headbomb (talk | contribs) at 23:24, 26 February 2016 (→Publications: clean up, replaced: Archive for rational mechanics and analysis → Archive for Rational Mechanics and Analysis using AWB). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Peter Wynn
Born1932
Alma materJohannes Gutenberg-Universität Mainz 1959
Known forepsilon algorithm
Scientific career
FieldsMathematician
InstitutionsMathematisch Centrum Amsterdam, University of Wisconsin-Madison, Université de Montréal
Doctoral advisorFriedrich L. Bauer

Peter Wynn (born 1932) is a 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. and Phys. 35: 318–320. MR 0086910.
  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: 663–671. doi:10.1017/S030500410003173X. MR 0081979.
  3. Wynn, Peter (1956). "On a device for computing the em(Sn) transformation". Mathematical Tables and Aids of Computation. 10: 91–96. doi:10.2307/2002183. JSTOR 2002183. MR 0084056.
  4. Wynn, P. (1956). "On a cubically convergent process for determining the zeros of certain functions". Mathematical Tables and Aids of Computation. 10: 97–100. doi:10.1090/s0025-5718-1956-0081547-9. MR 0081547.
  5. Wynn, P. (1956). "Central difference and other forms of the Euler transformation". Quart. J. Mech. Appl. Math. 9 (2): 249–256. doi:10.1093/qjmam/9.2.249. MR 0080782.
  6. Wynn, Peter (1959). "On the propagation of error in certain non-linear algorithms". Numerische Mathematik. 1 (1): 142–149. doi:10.1007/BF01386380. MR 0107988.
  7. Wynn, Peter (1959). "A sufficient condition for the instability of the q-d algorithm". Numerische Mathematik. 1 (1): 203–207. doi:10.1007/BF01386385. MR 0109426.
  8. Wynn, P. (1959). "Converging factors for continued fractions". Numerische Mathematik. 1: 272–320. doi:10.1007/BF01386385. MR 00116158. {{cite journal}}: Check |mr= value (help)
  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:10.1007/BF01386220. MR 0128597.
  10. Wynn, Peter (1960). "On the rational approximation of functions which are formally defined by a power series expansion". Mathematical Tables and Aids of Computation. 14 (70): 147–186. doi:10.2307/2003209. JSTOR 2003209. MR 0116457.
  11. Wynn, Peter (1960). "Confluent forms of certain non-linear algorithms". Arch. Math. 11: 233–236. doi:10.1007/BF01236936. MR 0128068.
  12. Wynn, Peter (1960). "A note on a confluent form of the ε-algorithm". Archiv der Mathematik. 11 (1): 237. doi:10.1007/BF01236937. MR 0128069.
  13. Wynn, Peter (1961). "On the tabulation of indefinite integrals". BIT. Nordisk Tidskift for information-behandling. 1: 286–290. doi:10.1007/BF01933245.
  14. Wynn, Peter (1961). "L'ε-algorithmo e la tavola di Padé". Rend. di Mat. Roma. 20: 403. MR 0158206.
  15. Wynn, Peter (1961). "The epsilon algorithm and operational formulas of numerical analysis". Mathematics of Computation. 15 (74): 151–158. doi:10.2307/2004221. JSTOR 2004221. MR 0158513.
  16. Wynn, Peter (1961). "On repeated application of the epsilon algorithm". Chiffres. 4: 19–22. MR 0149145.
  17. Wynn, Peter (1961). "The numerical transformation of slowly convergent series by methods of comparison". Chiffres. 4: 177–210. MR 0162350.
  18. Wynn, Peter (1961). "A sufficient condition for the instability of the ε-algorithm". Nieuw Arch. Wiskunde. 9 (3): 117–119. MR 0139252.
  19. Wynn, Peter (1962). "A note on a method of Bradshaw for transforming slowly convergent series and continued fractions". American Mathematical Monthly. 69 (9): 883–889. doi:10.2307/2311237. JSTOR 2311237. MR 0146559.
  20. Wynn, Peter (1962). "Upon a second confluent form the ε-algorithm". Proceedings of the Glasgow Mathematical Association. 5: 160–165. doi:10.1017/S2040618500034535. MR 0139253.
  21. Wynn, Peter (1962). "Acceleration techniques for iterated vector and matrix problems". Mathematics of Computation. 16 (79): 301–322. doi:10.2307/2004051. JSTOR 2004051. MR 0145647.
  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:10.1007/BF01386291. MR 0136500.
  23. Wynn, Peter (1962). "Note on the solution of a certain boundary-value problem". BIT. 2 (1): 61–64. doi:10.1007/BF02024783. MR 0155445.
  24. Wynn, Peter (1962). "An arsenal of ALGOL procedures for complex arithmetic". BIT. 2 (4): 232–255. doi:10.1007/BF01940171. MR 0166945.
  25. Wynn, Peter (1962). "The numerical transformation of slowly convergent series by methods of comparison. II". Chiffres. 5: 65–88. MR 0149146.
  26. Wynn, Peter (1963). "Singular rules for certain non-linear algorithms" (PDF). BIT. 3 (3): 175–195. doi:10.1007/BF01939985.
  27. Wynn, Peter (1963). "Note on a converging factor for a certain continued fraction". Numerische Mathematik. 5 (1): 332–352. doi:10.1007/BF01385901.
  28. Wynn, Peter (1963). "Continued fractions whose coefficients obey a non-commutative law of multiplication". Archive for Rational Mechanics and Analysis. 12 (1): 273–312. doi:10.1007/BF00281229.
  29. Wynn, Peter (1964). "Partial differential equations associated with certain non-linear algorithms". Zeitschrift für Angewandte Mathematik und Physik. 15 (3): 273–289. doi:10.1007/BF01607018.
  30. Wynn, Peter (1964). "General purpose vector-algorithm algol procedures". Numerische Mathematik. 6 (1): 22–36. doi:10.1007/BF01386050.
  31. Wynn, Peter (1964). "On some recent developments in the theory and application of continued fractions". J. SIAM: Series B, Numerical Analysis. 1: 177–197. doi:10.1137/0701015. JSTOR 2949774.
  32. Wynn, Peter (1965). "A note on programming repeated application of the epsilon-algorithm". Chiffres. 8: 23–62. MR 0181081.
  33. Wynn, Peter (1966). "Upon systems of recursions which obtain among the quotients of the Padé table". Numerische Mathematik. 8 (3): 264–269. doi:10.1007/BF02162562.
  34. Wynn, Peter (1966). "On the convergence and stability of the epsilon algorithm". SIAM Journal on Numerical Analysis. 3 (1): 91–122. doi:10.1137/0703007.
  35. Wynn, Peter (1966). "On the computation of certain functions of large argument and parameter". BIT. 6 (3): 228–259. doi:10.1007/BF01934356.
  36. Wynn, Peter (1967). "A general system of orthogonal polynomials". The Quarterly Journal of Mathematics. 18 (1): 81–96. doi:10.1093/qmath/18.1.81.
  37. Wynn, Peter (1968). "Upon the Padé table derived from a Stieltjes series". SIAM Journal on Numerical Analysis. 5 (4): 805–834. doi:10.1137/0705060. JSTOR 2949427.
  38. Wynn, Peter (1968). "Vector continued fractions". Linear Algebra and its Applications. 1 (3): 357–395. doi:10.1016/0024-3795(68)90015-3.
  39. Wynn, Peter (1969). "Zur Theorie der mit gewissen speziellen Funktionen verknüpften Padéschen Tafeln". Mathematische Zeitschrift. 109 (1): 66–77. doi:10.1007/BF01135574.
  40. Wynn, Peter (1971). "A note on the generalised Euler transformation". The Computer Journal. 14 (4): 437–441. doi:10.1093/comjnl/14.4.437.
  41. Wynn, Peter (1971). "A transformation of series". Calcolo. 8 (3): 255–272. doi:10.1007/BF02575517.
  42. Wynn, Peter (1971). "Difference-differential recursions for Padé quotients". Proceedings of the London Mathematical Society. s3-23 (2): 283–300. doi:10.1112/plms/s3-23.2.283.
  43. Wynn, Peter (1972). "Convergence acceleration by a method of intercalation". Computing. 9 (4): 267–273. doi:10.1007/BF02241602.
  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:10.1007/BF02844229.
  45. Wynn, Peter (1973). "Upon some continuous prediction algorithms. II". Calcolo. 9 (4): 235–278. doi:10.1007/BF02575582.
  46. Wynn, Peter (1974). "Some recent developments in the theories of continued fractions and the Padé table". Rocky Mountain Journal of Mathematics. 4 (2): 297–324. doi:10.1216/RMJ-1974-4-2-297.
  47. Wynn, Peter (1976). "The algebra of certain formal power series". Rivista di Matematica della Università di Parma. 2 (4): 155–176. MR 0447220.
  48. Wynn, Peter (1976). "A convergence theory of some methods of integration". J. Reine Angew. Mathem. 285: 181–108. doi:10.1515/crll.1976.285.181. MR 0415119.
  49. Wynn, Peter (1977). "The calculus of finite differences over certain systems of numbers". Calcolo. 14 (4): 303–341. doi:10.1007/BF02575990. MR 0503568.
  50. Wynn, Peter (1981). "The convergence of approximating fractions". Bol. Soc. Mat. Mexicana. 26 (2): 57–71. MR 0742016.
  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 0661065.

MathSciNet entries

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