Peter Wynn (mathematician) explained
Peter Wynn (19312017) 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
- P.. Wynn. J. Math. Phys.. A note on Salzer's method for summing certain convergent series. 35. 1956. 318–320. 0086910. 10.1002/sapm1956351318.
- Peter. Wynn. Mathematical Proceedings of the Cambridge Philosophical Society. On a procrustean technique for the numerical transformation of slowly convergent sequences and series. 52. 4. 663–671. 10.1017/S030500410003173X. 0081979. 1956. 1956PCPS...52..663W. 123285425.
- Peter. Wynn. Mathematical Tables and Other Aids to Computation. On a device for computing the em(Sn) transformation. 10. 91–96. 2002183. 1956. 0084056. 10.2307/2002183.
- P.. Wynn. Mathematical Tables and Other Aids to Computation. On a cubically convergent process for determining the zeros of certain functions. 10. 54. 1956. 97–100. 0081547. 10.1090/s0025-5718-1956-0081547-9. free.
- P.. Wynn. Central difference and other forms of the Euler transformation. 1956. Quart. J. Mech. Appl. Math. 9. 2. 10.1093/qjmam/9.2.249. 249–256. 0080782.
- Peter. Wynn. Numerische Mathematik. On the propagation of error in certain non-linear algorithms. 1. 1. 142–149. 10.1007/BF01386380. 0107988. 1959. 122078822.
- Peter. Wynn. Numerische Mathematik. A sufficient condition for the instability of the q-d algorithm. 1. 1. 203–207. 10.1007/BF01386385. 109426. 1959. 119934500.
- P.. Wynn. Converging factors for continued fractions. Numerische Mathematik. 1. 1959. 272–320. 0116158. 10.1007/BF01386385. 119934500.
- Peter. Wynn. Numerische Mathematik. Über einen Interpolations-algorithmus und gewisse andere Formeln, die in der Theorie der Interpolation durch rationale Funktionen bestehen. 2. 151–182. 10.1007/BF01386220. 0128597. 1960. 123016266.
- Peter. Wynn. Mathematical Tables and Other Aids to Computation. On the rational approximation of functions which are formally defined by a power series expansion. 14. 70. 147–186. 2003209. 0116457. 1960. 10.2307/2003209. free.
- Peter. Wynn. Arch. Math.. Confluent forms of certain non-linear algorithms. 11. 233–236. 10.1007/BF01236936. 0128068. 1960. 119969464.
- Peter. Wynn. Archiv der Mathematik. A note on a confluent form of the ε-algorithm. 11. 1. 237. 10.1007/BF01236937. 0128069. 1960. 120767619.
- Peter. Wynn. BIT. Nordisk Tidskift for Information-behandling. On the tabulation of indefinite integrals. 1. 4. 286–290. 10.1007/BF01933245. 1961. 119660534.
- Peter. Wynn. Rend. Di Mat. Roma. L'ε-algorithmo e la tavola di Padé. 20. 403. 0158206. 1961.
- Peter. Wynn. Mathematics of Computation. The epsilon algorithm and operational formulas of numerical analysis. 15. 74. 151–158. 2004221. 1961. 0158513. 10.2307/2004221. free.
- Peter. Wynn. Chiffres. On repeated application of the epsilon algorithm. 4. 19–22. 0149145. 1961.
- Peter. Wynn. Chiffres. The numerical transformation of slowly convergent series by methods of comparison. 4. 177–210. 0162350. 1961.
- Peter. Wynn. Nieuw Arch. Wiskunde. A sufficient condition for the instability of the ε-algorithm. 9. 3. 117–119. 0139252. 1961.
- Peter. Wynn. American Mathematical Monthly. A note on a method of Bradshaw for transforming slowly convergent series and continued fractions. 69. 9. 883–889. 2311237. 1962 . 0146559 . 10.2307/2311237.
- Peter. Wynn. Proceedings of the Glasgow Mathematical Association. Upon a second confluent form the ε-algorithm. 5. 160–165. 10.1017/S2040618500034535. 0139253. 1962. free.
- Peter. Wynn. Mathematics of Computation. Acceleration techniques for iterated vector and matrix problems. 16. 79. 301–322. 2004051. 1962 . 0145647 . 10.2307/2004051. free.
- Peter. Wynn. Numerische Mathematik. A comparison technique for the numerical transformation of slowly convergent series based on the use of rational functions. 4. 1. 8–14. 10.1007/BF01386291. 0136500. 1962. 122442672.
- Peter. Wynn. BIT. Note on the solution of a certain boundary-value problem. 2. 1. 61–64. 10.1007/BF02024783. 0155445. 1962. 121863164.
- Peter. Wynn. BIT. An arsenal of ALGOL procedures for complex arithmetic. 2. 4. 232–255. 10.1007/BF01940171. 0166945. 1962. 60076831.
- Peter. Wynn. Chiffres. The numerical transformation of slowly convergent series by methods of comparison. II. 5. 65–88. 0149146. 1962.
- Peter. Wynn. BIT. Singular rules for certain non-linear algorithms. 3. 3. 175–195. 10.1007/BF01939985. 1963. 120390887.
- Peter. Wynn. Numerische Mathematik. Note on a converging factor for a certain continued fraction. 5. 1. 332–352. 10.1007/BF01385901. 1963. 118433217.
- Peter. Wynn. Archive for Rational Mechanics and Analysis. Continued fractions whose coefficients obey a non-commutative law of multiplication. 12. 1. 273–312. 10.1007/BF00281229. 1963. 1963ArRMA..12..273W. 119950069.
- Peter. Wynn. Zeitschrift für Angewandte Mathematik und Physik. Partial differential equations associated with certain non-linear algorithms. 15. 3. 273–289. 10.1007/BF01607018. 1964. 1964ZaMP...15..273W. 121579702.
- Peter. Wynn. Numerische Mathematik. General purpose vector-algorithm algol procedures. 6. 1. 22–36. 10.1007/BF01386050. 1964. 123954363.
- Peter. Wynn. Journal of the Society for Industrial and Applied Mathematics, Series B: Numerical Analysis. On some recent developments in the theory and application of continued fractions. 1. 177–197. 2949774. 1964. 1. 10.1137/0701015. 1964SJNA....1..177W.
- Peter. Wynn. Chiffres. 8. 23–62. 1965. 0181081. A note on programming repeated application of the epsilon-algorithm.
- Peter. Wynn. Numerische Mathematik. Upon systems of recursions which obtain among the quotients of the Padé table. 8. 3. 264–269. 10.1007/BF02162562. 1966. 123789548.
- Peter. Wynn. SIAM Journal on Numerical Analysis. On the convergence and stability of the epsilon algorithm. 3. 1. 91–122. 10.1137/0703007. 1966. 1966SJNA....3...91W.
- Peter. Wynn. BIT. On the computation of certain functions of large argument and parameter. 6. 3. 228–259. 10.1007/BF01934356. 1966. 122412699.
- Peter. Wynn. The Quarterly Journal of Mathematics. A general system of orthogonal polynomials. 18. 1. 81–96. 10.1093/qmath/18.1.81. 1967. 1967QJMat..18...81W.
- Peter. Wynn. SIAM Journal on Numerical Analysis. Upon the Padé table derived from a Stieltjes series. 5. 4. 805–834. 10.1137/0705060. 2949427. 1968. 1968SJNA....5..805W.
- Peter. Wynn. Linear Algebra and Its Applications. Vector continued fractions. 1. 3. 357–395. 10.1016/0024-3795(68)90015-3. 1968. free.
- Peter. Wynn. Mathematische Zeitschrift. Zur Theorie der mit gewissen speziellen Funktionen verknüpften Padéschen Tafeln. 109. 1. 66–77. 10.1007/BF01135574. 1969. 121190788.
- Peter. Wynn. The Computer Journal. A note on the generalised Euler transformation. 14. 4. 437–441. 10.1093/comjnl/14.4.437. 1971. free.
- Peter. Wynn. Calcolo. A transformation of series. 8. 3. 255–272. 10.1007/BF02575517. 1971. 120203819.
- Peter. Wynn. Proceedings of the London Mathematical Society. Difference-differential recursions for Padé quotients. s3-23. 2. 10.1112/plms/s3-23.2.283 . 283–300. 1971.
- Peter. Wynn. Computing. Convergence acceleration by a method of intercalation. 9. 4. 267–273. 10.1007/BF02241602. 1972. 44050165.
- Peter. Wynn. Rendiconti del Circolo Matematico di Palermo. Invariants associated with the epsilon algorithm and its first confluent form. 21. 1–2. 31–41. 10.1007/BF02844229. 1972. 123537335.
- Peter. Wynn. Calcolo. Upon some continuous prediction algorithms. II. 9. 4. 235–278. 10.1007/BF02575582. 1973. 121617962.
- Peter. Wynn. Rocky Mountain Journal of Mathematics. Some recent developments in the theories of continued fractions and the Padé table. 4. 2. 297–324. 10.1216/RMJ-1974-4-2-297. 1974. free.
- Peter. Wynn. Rivista di Matematica della Università di Parma. The algebra of certain formal power series. 2. 4. 155–176. 0447220. 1976.
- Peter. Wynn. J. Reine Angew. Math.. A convergence theory of some methods of integration. 1976. 285. 181–208. 10.1515/crll.1976.285.181. 0415119. 1976. 116034573.
- Peter. Wynn. Calcolo. The calculus of finite differences over certain systems of numbers. 14. 4. 303–341. 10.1007/BF02575990. 0503568. 1977. 120710345.
- Peter. Wynn. Bol. Soc. Mat. Mexicana. The convergence of approximating fractions. 26. 2. 57–71. 0742016. 1981.
- Book: Peter. Wynn. E. B. Christoffel: The Influence of His Work on Mathematics and the Physical Sciences. P. L.. Butzer. F. Fehér. The work of E. B. Christoffel on the theory of continued fractions. Birkhäuser Verlag. 3-7643-1162-2. 0661065. 1981.
MathSciNet entries
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