Infinite-dimensional linear programs; Algebraic fundamentals; Topology and duality.

The theory of duality in problems of optimization is developed in a setting of finite and infinite dimensional spaces using convex analysis.

Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency.

Encompassing all the major topics students will encounter in courses on the subject, the authors teach both the underlying mathematical foundations and how these ideas are implemented in practice.

This monograph reviews OT with a bias toward numerical methods and their applications in data sciences, and sheds lights on the theoretical properties of OT that make it particularly useful for some of these applications.

Here is a book devoted to well-structured and thus efficiently solvable convex optimization problems, with emphasis on conic quadratic and semidefinite programming.

This book presents the necessary and essential backgrounds of fuzzy set theory and linear programming, particularly a broad range of common Fuzzy Linear Programming (FLP) models and related, convenient solution techniques.

... symmetric ; holomorphic function on a Banach - ; interval in a par- tially ordered vector - ; jet - ; L - fuzzy ... continuous invariant measure ) space complexity class see : polynomial - space - constructible function [ 03D15 ...

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An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.