Peter Wynn (mathematician)

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

Peter Wynn

Publications

• 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.

• Wynn, Peter (1956). "On a device for computing the e_m(S_n) transformation". Mathematical Tables and Aids of Computation. 10: 91–96. JSTOR 2002183.

• Wynn, Peter (1959). "On the propagation of error in certain non-linear aglorithms". Numerische Mathematik. 1 (1): 142–149. doi:10.1007/BF01386380.

• Wynn, Peter (1959). "A sufficient condition for the instability of the q-d algorithm". Numerische Mathematik. 1 (1): 203–207. doi:10.1007/BF01386385.
• 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.

• 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. JSTOR 2003209.

• Wynn, Peter (1960). "Confluent forms of certain non-linear algorithms". Arch. Math. 11: 233–236. doi:10.1007/BF01236936.

• Wynn, Peter (1960). "A note on a confluent form the ε-algorithm". Archiv der Mathematik. 11 (1): 237. doi:10.1007/BF01236937.

• Wynn, Peter (1961). "On the tabulation of indefinite integrals". BIT. Nordisk Tidskift for information-behandling. 1: 286–290. doi:10.1007/BF01933245.

• Wynn, Peter (1961). "L'ε-algorithmo e la tavola di Padé". Rend. di Mat. Roma. 20: 403.

• Wynn, Peter (1961). "The epsilon algorithm and operational formulas of numerical analysis". Mathematics of Computation. 15 (74): 151–158. JSTOR 2004221.

• Wynn, Peter (1961). "On repeated application of the epsilon algorithm". Chiffres. 4: 19–22.

• 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. JSTOR 2311237.

• Wynn, Peter (1962). "Upon a second confluent form the the ε-algorithm". Proceedings of the Glasgow Mathematical Association. 5: 160–165. doi:10.1017/S2040618500034535.

• Wynn, Peter (1962). "Acceleration techniques for iterated vector and matrix problems". Mathematics of Computation. 16 (79): 301–322. JSTOR 2004051.

• Wynn, Peter (1962). "A comparison technique for the numerical transformation of slowly converget series based on the use of rational funcionts". Numerische Mathematik. 4 (1): 8–14. doi:10.1007/BF01386291.

• Wynn, Peter (1962). "Note on the solution of a certain boundary-value problem". BIT. 2 (1): 61–64. doi:10.1007/BF02024783.

• Wynn, Peter (1962). "An arsenal of ALGOL procedures for complex arithmetic". BIT. 2 (4): 232–255. doi:10.1007/BF01940171.

• Wynn, Peter (1963). "Singular rules for certain non-linear algorithms" (PDF). BIT. 3 (3): 175–195. doi:10.1007/BF01939985.

• Wynn, Peter (1963). "Note on a converging factor for a certain continued fraction". Numerische Mathematik. 5 (1): 332–352. doi:10.1007/BF01385901.

• 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.

• Wynn, Peter (1964). "Partial differntial equations associated with certain non-linear algorithms". Zeitschrift für Angewandte Mathematik und Physik. 15 (3): 273–289. doi:10.1007/BF01607018.

• Wynn, Peter (1964). "General purpose vector-algorithm algol procedures". Numerische Mathematik. 6 (1): 22–36. doi:10.1007/BF01386050.

• Wynn, Peter (1964). "On some recent developments in the theory and application of continued fractions". J. SIAM: Series B, Numerical Analysis. 1: 177–197. JSTOR 2949774.
• 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.

• 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.

• Wynn, Peter (1966). "On the computation of certain functions of large argument and parameter". BIT. 6 (3): 228–259. doi:10.1007/BF01934356.

• Wynn, Peter (1967). "A general system of orthogonal polynomials". The Quaterly Journal of Mathematics. 18 (1): 81–96. doi:10.1093/qmath/18.1.81.

• Wynn, Peter (1968). "Upon the Padé table derived from a Stieltjes series". SIAM Journal on Numerical Analysis. 5 (4): 805–834. JSTOR 2949427.

• Wynn, Peter (1968). "Vector continued fractions". Linear Algebra and its Applications. 1 (3): 357–395. doi:10.1016/0024-3795(68)90015-3.

• Wynn, Peter (1969). "Zur Theorie der mit gewissen speziellen Funktionen verknüpften Padéschen Tafeln". Mathematische Zeitschrift. 109 (1): 66–77. doi:10.1007/BF01135574.

• Wynn, Peter (1971). "A note on the generalised Euler transformation". The Computer Journal. 14 (4): 437–441. doi:10.1093/comjnl/14.4.437.

• Wynn, Peter (1971). "A transformation of series". Calcolo. 8 (3): 255–272. doi:10.1007/BF02575517.

• Wynn, Peter (1971). "Difference-differential recursions for Padé quotients". Proc. Lond. Math. Soc. 3 (23): 283–300.

• Wynn, Peter (1972). "Convergence acceleration by a method of intercalation". Computing. 9 (4): 267–273. doi:10.1007/BF02241602.

• 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.

• Wynn, Peter (1973). "Upon some continuous prediction algorithms. II". Calcolo. 9 (4): 235–278. doi:10.1007/BF02575582.

• Wynn, Peter (1974). "Some recent developments in the theories of continued fractions and the Padé table". Rocky Moutnain Journal of Mathematics. 4 (2): 297–324. doi:10.1216/RMJ-1974-4-2-297.

• Wynn, Peter (1977). "The calculus of finite differences over certain systems of numbers". Calcolo. 14 (4): 303–341. doi:10.1007/BF02575990.

• Wynn, Peter (1981). "The work of E. B. Christoffel on the theory of continued fractions". International Christoffel Symposium in Honour of Christoffel on the 150th Anniversary of his Birth. Birkhäuser Verlag. ISBN 3764311622.

External links

• Brezinski, Claude. "The Birth of Numerical Analysis" (PDF). World Scientific. ISBN 978-981-283-625-0. {{cite journal}}: |chapter= ignored (help); Cite journal requires |journal= (help)

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