This volume contains the proceedings of the workshop on Optimization Theory and Related Topics, held in memory of Dan Butnariu, from January 11-14, 2010, in Haifa, Israel. An active researcher in various fields of applied mathematics, Butnariu published over 80 papers. His extensive bibliography is included in this volume. The articles in this volume cover many different areas of Optimization Theory and its applications: maximal monotone operators, sensitivity estimates via Lyapunov functions, inverse Newton transforms, infinite-horizon Pontryagin principles, singular optimal control problems with state delays, descent methods for mixed variational inequalities, games on MV-algebras, ergodic convergence in subgradient optimization, applications to economics and technology planning, the exact penalty property in constrained optimization, nonsmooth inverse problems, Bregman distances, retraction methods in Banach spaces, and iterative methods for solving equilibrium problems. This volume will be of interest to both graduate students and research mathematicians.
The present theory for the penetration of charged particles through matter rests on the fundamental work by Bohr, Bethe and Bloch. Due to the progress in the ac- lerationand detectionofparticles since the earlyyearsof the last centuryan incre- ing rangeofapplicationshas emerged, bothin fundamentalphysicsbut also in ?elds like medical radiology, materials science, nuclear ?ssion and fusion technology and many others. These developments require a detailed and quantitative knowledge about the processes occuring during the passage of charged particles through m- ter. A comprehensive overview on the present status of the theory of stopping of heavy ions in matter has, e. g., been presented in recent monographsby Sigmund. However, in recent decades considerable interest has been directed towards applications in which strong magnetic ?elds play a dominant role. Then the - clotron radius of the target electrons is the smallest relevant length scale and their cyclotronperiod the smallest time scale of the problem. While the ?elds occuringin magnetic con?nement fusion devices are still marginal in this sense, stronger ?elds are employed to guide the electrons in the cooling sections of particle storage rings and even more so for the deceleration of heavy ions and antiprotons in traps. In the rest frame of the beams the cooling/decelerationprocessmay be viewed as the st- pingof ionsin an electronplasma. Exceptforrecombination, changesin the internal structure are not so important in these applications. The emphasis of this book lies therefore on the interaction of ions with a magnetized electron plasm
A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Central to the exposition is the polyhedral viewpoint, which is the key principle underlying the successful integer-programming approach to combinatorial-optimization problems. Another key unifying topic is matroids. The author does not dwell on data structures and implementation details, preferring to focus on the key mathematical ideas that lead to useful models and algorithms. Problems and exercises are included throughout as well as references for further study.
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