Optimization

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A Theory of Necessary Conditions

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Optimization

A Theory of Necessary Conditions

This book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a general theory for extremal problems in a topological vector space setting.

Following a brief summary of the required background, generalized Lagrange multiplier rules are derived for optimization problems with equality and generalized inequality constraints. The treatment stresses the importance of the choice of the underlying set over which the optimization is to be performed, the delicate balance between differentiability-continuity requirements on the constraint functionals, and the manner in which the underlying set is approximated by a convex set. The generalized multiplier rules are used to derive abstract maximum principles for classes of optimization problems defined in terms of operator equations in a Banach space. It is shown that special cases include the usual maximum principles for general optimal control problems described in terms of diverse systems such as ordinary differential equations, functional differential equations, Volterra integral equations, and difference equations. Careful distinction is made throughout the analysis between local and global maximum principles.

Originally published in 1977.

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بستن

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

1977

نویسنده

Lucien W. Neustadt

ناشر

Princeton University Press

شابک

0691081417

20,000 تومان

خرید کتاب مطالعه نمونه درخواست ترجمه کتاب

خرید کتاب Optimization

Optimization

گزارش تخلف

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

1977

نویسنده

ناشر

شابک

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