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Pseudolinear Functions and Optimization
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Optimization is a discipline that plays a key role in modeling and solving problems in most areas of engineering and sciences. Optimization tools are used to understand the dynamics of information networks, financial markets, solve logistics and supply chain problems, design new drugs, solve biomedical problems, design renewable and sustainable energy systems, reduce pollution, and improve health care systems. In general, we have convex optimization models, which, at least in theory, can be solved efficiently, and nonconvex optimization models that are computationally very hard to solve. Designing efficient algorithms and heuristics for solving optimization problems requires a very good understanding of the mathematics of optimization. For example, the development of optimality conditions, the theory of convexity, and computational complexity theory have been instrumental for the development of computational optimization algorithms.
The book Pseudolinear Functions and Optimization by Shashi Kant Mishra and Balendu Bhooshan Upadhyay, sets the mathematical foundations for a class of optimization problems. Although convexity theory plays the most important role in optimization, several attempts have been made to ex- tend the theory to generalized convexity. Such extensions were necessary to understand optimization models in a wide spectrum of applications.
The book Pseudolinear Functions and Optimization is to my knowledge the first book that is dedicated to a specific class of generalized convex functions that are called pseudolinear functions. This is an in-depth study of the mathematics of pseudolinear functions and their applications. Most of the recent results on pseudolinear functions are covered in this book.
The writing is pleasant and rigorous and the presentation of material is very clear. The book will definitely will be useful for the optimization community and will have a lasting effect.
Shashi Kant Mishra - Personal Name
1st Edtion
13: 978-1-4822-5575-
NONE
Pseudolinear Functions and Optimization
Management
English
Taylor & Francis Group, LLC
2015
USA
1-509
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