Semi-infinite optimization is a vivid field of active research. Recently semiยญ infinite optimization in a general form has attracted a lot of attention, not only because of its surprising structural aspects, but also due to the large number of applications which can be formulated as general semi-infinite programs. The aim of this book is to highlight structural aspects of general semi-infinite programming, to formulate optimality conditions which take this structure into account, and to give a conceptually new solution method. In fact, under certain assumptions general semi-infinite programs can be solved efficiently when their bi-Ievel structure is exploited appropriately. After a brief introduction with some historical background in Chapter 1 we beยญ gin our presentation by a motivation for the appearance of standard and general semi-infinite optimization problems in applications. Chapter 2 lists a number of problems from engineering and economics which give rise to semi-infinite models, including (reverse) Chebyshev approximation, minimax problems, roยญ bust optimization, design centering, defect minimization problems for operator equations, and disjunctive programming
Mathematics
Computer mathematics
Convex geometry
Discrete geometry
Mathematical optimization
Calculus of variations
Mathematics
Optimization
Calculus of Variations and Optimal Control; Optimization
