Ebook: Applied Mathematics and Parallel Computing: Festschrift for Klaus Ritter

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.

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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.

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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.
Content:
Front Matter....Pages I-VIII
Informatics and the Internal Necessity for the Mathematization of the Sciences....Pages 1-10
A New Semi-infinite Programming Method for Nonlinear Approximation....Pages 11-22
Exhibition Organized by Klaus Ritter on the Occasion of the 125th Anniversary of the Technical University of Munich....Pages 23-33
Concavity of the Vector-Valued Functions Occurring in Fuzzy Multiobjective Decision-Making....Pages 35-55
An Algorithm for the Solution of the Parametric Quadratic Programming Problem....Pages 57-76
Optimal and Asymptotically Optimal Equi-partition of Rectangular Domains via Stripe Decomposition....Pages 77-95
Trust-Region Interior-Point Algorithms for Minimization Problems with Simple Bounds....Pages 97-107
Adaptive Kernel Estimation of a Cusp-shaped Mode....Pages 109-120
Automatic Differentiation: The Key Idea and an Illustrative Example....Pages 121-139
An Approach to Parallelizing Isotonic Regression....Pages 141-147
Mathematical Programming at Oberwolfach....Pages 149-156
A SQP-Method for Linearly Constrained Maximum Likelihood Problems....Pages 157-174
Machine Learning via Polyhedral Concave Minimization....Pages 175-188
Optimization Concepts in Autonomous Mobile Platform Design....Pages 189-209
A Fuzzy Set Approach for Optimal Positioning of a Mobile Robot Using Sonar Data....Pages 211-231
Gradient Computation by Matrix Multiplication....Pages 233-240
Simulating Ultrasonic Range Sensors on a Transputer Workstation....Pages 241-253
A Modular Architecture for Optimization Tutorials....Pages 255-264
Differential Stability Conditions for Saddle Problems on Products of Convex Polyhedra....Pages 265-274
Large-Scale Global Optimization on Transputer Networks....Pages 275-290
The Statistical Art of Maximizing the Likelihood....Pages 291-302
Remote Access to a Transputer Workstation....Pages 303-313
An Extension of Multivariate Reliability Systems....Pages 315-326
Automatic Differentiation: A Structure-Exploiting Forward Mode with Almost Optimal Complexity for Kantorovi? Trees....Pages 327-357
Approximate Structured Optimization by Cyclic Block-Coordinate Descent....Pages 359-371
Back Matter....Pages 373-376

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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.
Content:
Front Matter....Pages I-VIII
Informatics and the Internal Necessity for the Mathematization of the Sciences....Pages 1-10
A New Semi-infinite Programming Method for Nonlinear Approximation....Pages 11-22
Exhibition Organized by Klaus Ritter on the Occasion of the 125th Anniversary of the Technical University of Munich....Pages 23-33
Concavity of the Vector-Valued Functions Occurring in Fuzzy Multiobjective Decision-Making....Pages 35-55
An Algorithm for the Solution of the Parametric Quadratic Programming Problem....Pages 57-76
Optimal and Asymptotically Optimal Equi-partition of Rectangular Domains via Stripe Decomposition....Pages 77-95
Trust-Region Interior-Point Algorithms for Minimization Problems with Simple Bounds....Pages 97-107
Adaptive Kernel Estimation of a Cusp-shaped Mode....Pages 109-120
Automatic Differentiation: The Key Idea and an Illustrative Example....Pages 121-139
An Approach to Parallelizing Isotonic Regression....Pages 141-147
Mathematical Programming at Oberwolfach....Pages 149-156
A SQP-Method for Linearly Constrained Maximum Likelihood Problems....Pages 157-174
Machine Learning via Polyhedral Concave Minimization....Pages 175-188
Optimization Concepts in Autonomous Mobile Platform Design....Pages 189-209
A Fuzzy Set Approach for Optimal Positioning of a Mobile Robot Using Sonar Data....Pages 211-231
Gradient Computation by Matrix Multiplication....Pages 233-240
Simulating Ultrasonic Range Sensors on a Transputer Workstation....Pages 241-253
A Modular Architecture for Optimization Tutorials....Pages 255-264
Differential Stability Conditions for Saddle Problems on Products of Convex Polyhedra....Pages 265-274
Large-Scale Global Optimization on Transputer Networks....Pages 275-290
The Statistical Art of Maximizing the Likelihood....Pages 291-302
Remote Access to a Transputer Workstation....Pages 303-313
An Extension of Multivariate Reliability Systems....Pages 315-326
Automatic Differentiation: A Structure-Exploiting Forward Mode with Almost Optimal Complexity for Kantorovi? Trees....Pages 327-357
Approximate Structured Optimization by Cyclic Block-Coordinate Descent....Pages 359-371
Back Matter....Pages 373-376
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