Synopses & Reviews
This collection of 25 research papers is dedicated to Professor Klaus Ritter of the Technical University of Munich on the occasion of his 60th birthday. The contributions provide a broad spectrum of research in nonlinear optimization problems, including theoretical aspects, automatic differentiation, and practical applications. It is dealt with quadratic optimization and with multiobjective decision-making. Further topics are parallelizing of algorithms and their implementation on transputer workstations. Special attention is paid to applications of parallel algorithms in the field of robotics. New results in statistics are also presented.
Synopsis
The authors of this Festschrift prepared these papers to honour and express their friendship to Klaus Ritter on the occasion of his sixtieth birthday. Be- cause of Ritter's many friends and his international reputation among math- ematicians, finding contributors was easy. In fact, constraints on the size of the book required us to limit the number of papers. Klaus Ritter has done important work in a variety of areas, especially in var- ious applications of linear and nonlinear optimization and also in connection with statistics and parallel computing. For the latter we have to mention Rit- ter's development of transputer workstation hardware. The wide scope of his research is reflected by the breadth of the contributions in this Festschrift. After several years of scientific research in the U.S., Klaus Ritter was ap- pointed as full professor at the University of Stuttgart. Since then, his name has become inextricably connected with the regularly scheduled conferences on optimization in Oberwolfach. In 1981 he became full professor of Applied Mathematics and Mathematical Statistics at the Technical University of Mu- nich. In addition to his university teaching duties, he has made the activity of applying mathematical methods to problems of industry to be centrally important.
Table of Contents
From the contents: Informatics and the Internal Necessity for the Mathematization of the Sciences.- A New Semi-infinite Programming Method for Nonlinear Approximation.- Concavity of the Vector-Valued Functions Occuring in Fuzzy Multiobjective Decision-Making.- An Algortihm for the Solution of the Parametric Quadratic Programming Problem.- Optimal and Asymptotically Optimal Equi-partition of Rectangular Domains via Stripe Decomposition.- Trust-Region Interior-Point Algortihms for Minimization Problems with Simple Bounds.- Adaptivce Kernel Estimation of a Cusp-shaped Mode.- Automatic Differentiation: The Key Idea and an Illustrative Example.- An Approach to Parallelizing Isotonic Regression.- A SQP-Method for Linearly Constrained Maximum Likelihood Problems.- Machine Learning via Polyhedral Concave Minimization.- Optimization Concepts in Autonomous Mobile Platform Design.- A Fuzzy Set Approach for Optimal Positioning of a Mobile Robot Using Sonor Data.- Gradient Computation by Matrix Multiplication.- Simulating Ultrasonic Range Sensors on a Transputer Workstation.- Large-Scale Global Optimization on Transputer-Networks.