Foundations of Computational Mathematics: Selected Papers of a Conference Held at Rio de Janeiro, January 1997

Front Cover
Felipe Cucker, Michael Shub
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 441 pages
This book contains a collection of articles corresponding to some of the talks delivered at the Foundations of Computational Mathematics conference held at IMPA in Rio de Janeiro in January 1997. Some ofthe others are published in the December 1996 issue of the Journal of Complexity. Both of these publications were available and distributed at the meeting. Even in this aspect we hope to have achieved a synthesis of the mathematics and computer science cultures as well as of the disciplines. The reaction to the Park City meeting on Mathematics of Numerical Analy sis: Real Number Algorithms which was chaired by Steve Smale and had around 275 participants, was very enthusiastic. At the suggestion of Narendra Karmar mar a lunch time meeting of Felipe Cucker, Arieh Iserles, Narendra Karmarkar, Jim Renegar, Mike Shub and Steve Smale decided to try to hold a periodic meeting entitled "Foundations of Computational Mathematics" and to form an organization with the same name whose primary purpose will be to hold the meeting. This is then the first edition of FoCM as such. It has been organized around a small collection of workshops, namely - Systems of algebraic equations and computational algebraic geometry - Homotopy methods and real machines - Information-based complexity - Numerical linear algebra - Approximation and PDEs - Optimization - Differential equations and dynamical systems - Relations to computer science - Vision and related computational tools There were also twelve plenary speakers.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Contents
1
Borwein
16
Vicent Caselles Argentina
23
Recognition in Hierarchical Models
43
Continuity XAlgebras Extended Abstract
63
J Maurice Rojas Roger Temam
77
Cambridge MA 02139 USA Bloomington IN 47405
90
Residues in the Torus and Toric Varieties
102
Questions on Attractors of 3Manifolds
231
A TrustRegion SLCP Model Algorithm for Nonlinear Programming
246
England
267
Sanjoy K Mitter
277
Solving special polynomial systems by using structured matrices
287
Numerical Integration of Differential Equations
305
CEREMADE Diego Pallara
326
Universite ParisDauphine Dipartimento di Matematica
346

Erik S Van Vleck
104
Extended Grzegorczyk Hierarchy in the BSS Model of Computability
127
Peter J Giblin
152
Deptartment of Mathematics
167
On the Qualitative Properties of Modified Equations
169
O Gonzalez A M Stuart martinezime unicamp
186
On One Computational Scheme Solving the Nonstationary Schrödinger
190
Szemerédis Regularity Lemma for Sparse Graphs
216
Numerical Linear Algebra in Optical Imaging
362
Peter Kirrinnis Department of Electrical Engineering
364
Bernard Mourrain Department of Computer Science
380
David E Stewart Farrokh Vatan
381
FiniteDimensional Feedback Control of a Scalar ReactionDiffusion
382
Rigid body dynamics and measure differential inclusions
405
A Complexity Analysis
424
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information