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Optimality Conditions: Abnormal and Degenerate Problems (Hardcover, 2001 ed.)
Loot Price: R1,641
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Optimality Conditions: Abnormal and Degenerate Problems (Hardcover, 2001 ed.)
Series: Mathematics and Its Applications, 526
Expected to ship within 12 - 17 working days
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This book is devoted to one of the main questions of the theory of
extremal prob lems, namely, to necessary and sufficient extremality
conditions. It is intended mostly for mathematicians and also for
all those who are interested in optimiza tion problems. The book
may be useful for advanced students, post-graduated students, and
researchers. The book consists of four chapters. In Chap. 1 we
study the abstract minimization problem with constraints, which is
often called the mathemati cal programming problem. Chapter 2 is
devoted to one of the most important classes of extremal problems,
the optimal control problem. In the third chapter we study one of
the main objects of the calculus of variations, the integral
quadratic form. In the concluding, fourth, chapter we study local
properties of smooth nonlinear mappings in a neighborhood of an
abnormal point. The problems which are studied in this book (of
course, in addition to their extremal nature) are united by our
main interest being in the study of the so called abnormal or
degenerate problems. This is the main distinction of the present
book from a large number of books devoted to theory of extremal
problems, among which there are many excellent textbooks, and books
such as, e.g., 13, 38, 59, 78, 82, 86, 101, 112, 119], to mention a
few."
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