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Nonlinear Optimization - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-7, 2007 (Paperback, 2010 ed.)
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Nonlinear Optimization - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-7, 2007 (Paperback, 2010 ed.)
Series: Lecture Notes in Mathematics, 1989
Expected to ship within 10 - 15 working days
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This volume collects the expanded notes of four series of lectures
given on the occasion of the CIME course on Nonlinear Optimization
held in Cetraro, Italy, from July 1 to 7, 2007. The Nonlinear
Optimization problem of main concern here is the problem n of
determining a vector of decision variables x ? R that minimizes
(ma- n mizes) an objective function f(.): R ? R, when x is
restricted to belong n to some feasible setF? R, usually described
by a set of equality and - n n m equality constraints: F = {x ? R:
h(x)=0, h(.): R ? R; g(x) ? 0, n p g(.): R ? R }; of course it is
intended that at least one of the functions f, h, g is nonlinear.
Although the problem canbe stated in verysimpleterms, its solution
may result very di?cult due to the analytical properties of the
functions involved and/or to the number n, m, p of variables and
constraints. On the other hand, the problem has been recognized to
be of main relevance in engineering, economics, and other applied
sciences, so that a great lot of e?ort has been devoted to develop
methods and algorithms able to solve the problem even in its more
di?cult and large instances. The lectures have been given by
eminent scholars, who contributed to a great extent to the
development of Nonlinear Optimization theory, methods and
algorithms. Namely, they are: - Professor Immanuel M."
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