Download Approximation and Computation: A Festschrift in Honor of by C. de Boor (auth.), R. V. M. Zahar (eds.) PDF

By C. de Boor (auth.), R. V. M. Zahar (eds.)

R. V. M. Zahar* The sixty-fifth birthday of Walter Gautschi supplied an opportune second for a world symposium in his honor, to acknowledge his many contributions to arithmetic and laptop sciences. Conceived by way of John Rice and subsidized via Purdue collage, the convention came about in West Lafayette from December 2 to five, 1993, and was once geared up round the 4 major issues representing Professor Gautschi's relevant examine pursuits: Approximation, Orthogonal Polynomials, Quadrature and distinctive features. Thirty-eight audio system - colleagues, co-authors, examine collaborators or doctoral scholars of Professor Gautschi - have been invited to give articles on the convention, their lectures delivering an nearly equivalent illustration of the 4 disciplines. 5 invited audio system, Germund Dahlquist, Philip Davis, Luigi Gatteschi, Werner Rheinboldt and Stephan Ruscheweyh, have been not able to give their talks as a result of disorder or different commitments, even though Professors Dahlquist, Gatteschi and Ruscheweyh thus contributed arti­ cles to those complaints. hence, the ultimate software contained thirty-three technical lectures, ten of which have been plenary periods. nearly 80 scientists attended the convention, and for a few ses­ sions - specifically, Walter's presentation of his pleasing and informative Reflections and memories - that quantity used to be complemented via many viewers and acquaintances, in addition to the relations of the honoree. A shock stopover at by way of Paul Erdos supplied one of many highlights of the convention week. The atmosphere on the sym­ posium was once tremendous collegial, due without doubt to the typical educational pursuits and the non-public friendships shared by way of the participants.

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Extra resources for Approximation and Computation: A Festschrift in Honor of Walter Gautschi: Proceedings of the Purdue Conference, December 2–5, 1993

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Xl PUBLICATIONS 75. Polynomials orthogonal with respect to the reciprocal gamma function. BIT, 22:387-389, 1982. 76. On generating orthogonal polynomials. SIAM J. Sci. Statist. , 3:289-317, 1982. 77. On the convergence behavior of continued fractions with real elements. Math. , 40:337-342, 1983. 78. The condition of Vandermonde-like matrices involving orthogonal polynomials. , 52/53:293-300, 1983. 79. How and how not to check Gaussian quadrature formulae. BIT, 23:209-216, 1983. 80. S. Varga) Error bounds for Gaussian quadrature of analytic functions.

87. (with B. Flury) An algorithm for simultaneous orthogonal transformation of several positive definite matrices to nearly diagonal form. SIAM J. Sci. Statist. , 7:169-184, 1986. 88. V. Milovanovic) Polynomials orthogonal on the semicircle. J. Approx. Theory, 46:230-250, 1986. 89. On the sensitivity of orthogonal polynomials to perturbations in the moments. Numer. , 48:369-382, 1986. 90. (with F. Calia and E. Marchetti) On computing Gauss-Kronrod quadrature formulae. Math. , 47:639-650, 1986. xli w.

Mat. , (8) 20:283-289, 1956. 15. Bemerkung zu einer notwendigen Bedingung von Picone in der Variationsrechnung. Comment. Math. , 31:1-4, 1956. 16. Some elementary inequalities relating to the gamma and incomplete gamma function. J. Math. , 38:77-81, 1959. It' e-xtt-ndt for large values of n. J. Res. Nat. Bur. 17. Exponential integral Standards, 62:123-125, 1959. 18. Note on bivariate linear interpolation for analytic functions. Math. , 13:91-96, 1959. 19. Recursive computation of certain integrals.

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