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Linear and Nonlinear Programming
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David G Luenberger, Yinyu Ye
"Linear and Nonlinear Programming" is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as a means for learning existing material and for developing ...
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Nonlinear Programming: Theory and Algorithms
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Mokhtar S Bazaraa, C M Shetty
"Nonlinear Programming: Theory and Algorithms" - now in an extensively updated third edition - addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective ...
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Introduction to Material and Energy Balances
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G V Reklaitis
A thorough introduction to balance equation concepts. Geared for the course offered to chemical engineering majors in their sophomore year. Develops a framework for the analysis of flowsheet problem information with extensive use of degree-of-freedom analysis. Presents systematic approaches for manual and computer-aided solution of full scale ...
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Linear and nonlinear programming
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Stephen Nash, Ariela Sofer
This text presents linear and nonlinear programming in an integrated setting and serves as a complete and unified introduction to applications, theory, and algorithms.
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Linear and Nonlinear Programming: Second Edition
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David G Luenberger
"Linear and Nonlinear Programming".
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Introduction to Global Optimization
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Reiner Horst, P M Pardalos, Van Thoai Nguyen Van Thoai
Global optimization concerns the computation and characterization of global optima of nonlinear functions. Such problems are widespread in the mathematical modelling of real systems in a very wide range of applications and the last 30 years have seen the development of many new theoretical, algorithmic and computational contributions which have ...
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Nonlinear Integer Programming
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Duan Li
The methodological development of integer programming has grown by leaps and bounds in the past four decades, with its main focus on linear integer programming. However, the past few years have also witnessed certain promising theoretical and methodological achievements in nonlinear integer programming. These recent developments have produced ...
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Constrained Optimization in the Calculus of Variations and Optimal Control Theory
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John Gregory, Cantian Lin
A major problem in current applied mathematics is the lack of efficient and accurate techniques to solve optimization problems in the calculus of variations and optimal control theory. This book contains classical material in the field and unique theoretical and numerical methods for constrained problems. This book should be of interest to ...
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Methods of Mathematical Economics: Linear and Nonlinear Programming: Fixed-Point Theorems
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Joel N Franklin
Many advances have taken place in the field of combinatorial algorithms since Methods of Mathematical Economics first appeared two decades ago. Despite these advances and the development of new computing methods, several basic theories and methods remain important today for understanding mathematical programming and fixed-point theorems. In this ...
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The Nonlinear Workbook: Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Fuzzy Logic with C++, Java, Symbolic C++, and
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Willi-Hans Steeb
The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail. The numerical and symbolic methods are implemented in C++, SymbolicC++ ...
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Nonlinear Programming
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Olvi L. Mangasarian
This reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This ...
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Mathematical Programs with Equilibrium Constraints
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Zhi-Quan Luo, Jong-Shi Pang, Daniel Ralph
This book provides a solid foundation and an extensive study for an important class of constrained optimization problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimization problems. The book begins with the description of many source problems arising from engineering and economics that ...
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Optimization Theory and Methods: Nonlinear Programming
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Wenyu Sun, YA-Xiang Yuan
This book, a result of the author's teaching and research experience in various universities and institutes over the past ten years, can be used as a textbook for an optimization course for graduates and senior undergraduates. It systematically describes optimization theory and several powerful methods, including recent results. For most methods, ...
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Frontiers in Global Optimization
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Christodoulos A Floudas (Editor), Panos Pardalos
Global Optimization has emerged as one of the most exciting new areas of mathematical programming. Global optimization has received a wide attraction from many fields in the past few years, due to the success of new algorithms for addressing previously intractable problems from diverse areas such as computational chemistry and biology, biomedicine ...
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Nonlinear Programming: Analysis and Methods
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Mordecai Avriel
This overview provides a single-volume treatment of key algorithms and theories. Begins with the derivation of optimality conditions and discussions of convex programming, duality, generalized convexity, and analysis of selected nonlinear programs, and then explores techniques for numerical solutions and unconstrained optimization methods. 1976 ...
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Optimization with Multivalued Mappings: Theory, Applications and Algorithms
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Stephan Dempe (Editor), Vyacheslav Kalashnikov (Editor)
In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving multivalued mappings in constraints or as the objective function. This book focuses on the tremendous development in the field that has taken place since the publication of the most recent volumes on the ...
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Nonlinear Optimization with Financial Applications
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Michael Bartholomew-Biggs
The book introduces the key ideas behind practical nonlinear optimization. Computational finance - an increasingly popular area of mathematics degree programs is combined here with the study of an important class of numerical techniques. The financial content of the book is designed to be relevant and interesting to specialists. However, this ...
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Essays and Surveys in Global Optimization
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Charles Audet (Editor), Pierre Hansen (Editor), Gilles Savard (Editor)
Global optimization aims at solving the most general problems of deterministic mathematical programming: to find the global optimum of a nonlinear, nonconvex, multivariate function of continuous and/or integer variables subject to constraints which may be themselves nonlinear and nonconvex. In addition, once the solutions are found, proof of its ...
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Numerica: A Modeling Language for Global Optimization
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Pascal Van Hentenryck, Laurent Michel, Yves Deville
Many science and engineering applications require the user to find solutions to systems of nonlinear constraints or to optimize a nonlinear function subject to nonlinear constraints. The field of global optimization is the study of methods to find all solutions to systems of nonlinear constraints and all global optima to optimization problems. ...
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The Newton-Cauchy Framework
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John L Nazareth
Computational unconstrained nonlinear optimization comes tolife from a study of the interplay between the metric-based(Cauchy) and model-based (Newton) points of view. Themotivating problem is that of minimizing a convex quadraticfunction. This research monograph reveals for the first timethe essential unity of the subject. It explores ...
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Nonlinear Multiobjective Optimization
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Claus Hillermeier
Arguably, many industrial optimization problems are of the multi objective type. The present work, after providing a survey of the state of the art in multi objective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the ...
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Nonlinear and dynamic programming
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G. Hadley
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Nonsmooth Approach to Optimization Problems with Equilibrium Constraints, Theory, Applications and Numerical Results
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Jiri Vladimir Outrata, Jochem Zowe, Michal Kocvara
This book presents an in-depth study and a solution technique for an important class of optimization problems. This class is characterized by special constraints: parameter-dependent convex programs, variational inequalities or complementarity problems. All these so-called equilibrium constraints are mostly treated in a convenient form of ...
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Nonlinear Multiobjective Optimization
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Kaisa Miettinen
Problems with multiple objectives and criteria are generally known as multiple criteria optimization or multiple criteria decision-making (MCDM) problems. So far, these types of problems have typically been modelled and solved by means of linear programming. However, many real-life phenomena are of a nonlinear nature, which is why we need tools ...
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Nonlinear Programming: Proceedings of the Siam-Ams Symposia, New York, March, 1975
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Richard W. Cottle (Editor), American Mathematical Society, Carlton E. Lemke
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