Overview

This volume presents 20 original refereed papers on different aspects of modern analysis, including analytic and computational number theory, symbolic and numerical computation, theoretical and computational optimization, and recent development in nonsmooth and functional analysis with applications to control theory. The topics represent areas in which Jonathan Borwein has worked, in whose honour the conference was organized. In addition to providing a snapshot of research in the field of modern analysis, the papers suggest some of the directions this research is following at the beginning of the millennium.

Full Product Details

Author:   American Mathematical Society
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 27
Weight:   0.567kg
ISBN:  

9780821821671

ISBN 10:   0821821679
Pages:   302
Publication Date:   30 July 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

"Fejer monotonicity and weak convergence of an accelerated method of projections by H. H. Bauschke, F. Deutsch, H. Hundal, and S.-H. Park General ""squeeze theorems"" in nonsmooth analysis by J. Benoist and J.-B. Hiriart-Urruty Ramanujan's short unpublished manuscript on integrals and series related to Euler's constant by B. C. Berndt and D. C. Bowman An efficient algorithm for the Riemann zeta function by P. Borwein On periods of elements from real quadratic number fields by E. B. Burger and A. J. van der Poorten Vector-valued perturbed minimization principles by R. Deville and C. Finet Continued fractions, comparison algorithms, and fine structure constants by P. Flajolet and B. Vallee A class of dynamical systems with a convex Lyapunov function by M. Gabour, S. Reich, and A. J. Zaslavski On a convergence of lower semicontinuous functions linked with the graph convergence of their subdifferentials by M. Geoffroy and M. Lassonde Rotundity related to Lipschitz separation by J. R. Giles and J. D. Vanderwerff Codirectional compactness, metric regularity and subdifferential calculus by A. Ioffe Complete dual characterizations of optimality for convex semidefinite programming by V. Jeyakumar and M. J. Nealon A second-welfare theorem in nonconvex economies by A. Jofre Auxiliary problem and the approximation of variational inequalities with non-symmetric multi-valued operators by A. Kaplan and R. Tichatschke Dynamic emission tomography-Regularization and inversion by J. Maeght, D. Noll, and S. Boyd Semi-spaces and bases on convexity systems in complete lattices by J. E. Martinez-Legaz and I. Singer On variational characterizations of Asplund spaces by B. S. Mordukhovich and B. Wang Transposition of relations by J.-P. Penot On a classical existence theorem for nonlinear elliptic equations by B. Ricceri Limiting convex subdifferential calculus with applications to integration and maximal monotonicity of subdifferential by L. Thibault."

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