Peter Wynn (mathematician)

Peter Wynn
Born 1932
Fields Mathematician
Institutions Mathematisch Centrum Amsterdam, University of Wisconsin-Madison, Université de Montréal
Alma mater Johannes Gutenberg-Universität Mainz 1959
Doctoral advisor Friedrich L. Bauer
Known for epsilon algorithm

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 109426. 
  8. Wynn, P. (1959). "Converging factors for continued fractions". Numerische Mathematik 1: 272–320. doi:10.1007/BF01386385. MR 00116158. 
  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. 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

External links

This article is issued from Wikipedia - version of the Saturday, February 27, 2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.