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
Significant research activities have taken place in the areas of local and global optimization in the last two decades. Many new theoretical, computational, algorithmic, and software contributions have resulted. It has been realized that despite these numerous contributions, there does not exist a systematic forum for thorough experimental computational testing and. evaluation of the proposed optimization algorithms and their implementations. Well-designed nonconvex optimization test problems are of major impor tance for academic and industrial researchers interested in algorithmic and software development. It is remarkable that eventhough nonconvex models dominate all the important application areas in engineering and applied sci ences, there is only a limited dass of reported representative test problems. This book reflects our long term efforts in designing a benchmark database and it is motivated primarily from the need for nonconvex optimization test problems. The present collection of benchmarks indudes test problems from literature studies and a large dass of applications that arise in several branches of engineering and applied science."
Article Directory Articles
Article Directory Books