Download or read book Second Order Characterizations of Pseudo convex Quadratic Functions written by Stanford University. Department of Operations Research and published by . This book was released on 1975 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper deals with (strictly) pseudo-convex quadratic functions on open convex sets. It presents second order conditions in terms of an extended Hessian and in terms of bordered determinants. All the conditions are both necessary and sufficient. (Author).
Download or read book Second Order Characterizations of Pseudo convex Functions written by Stanford University. Department of Operations Research and published by . This book was released on 1976 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second order characterizations for (strictly) pseudoconvex functions are derived in terms of extended Hessians and bordered determinants. Additional results are presented for quadratic functions. (Author).
Download or read book Generalized Convexity and Optimization written by Alberto Cambini and published by Springer Science & Business Media. This book was released on 2008-10-14 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also includes numerous exercises and two appendices which list the findings consulted.
Download or read book General Inequalities 2 written by BECKENBACH and published by Birkhäuser. This book was released on 2013-11-22 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Concavity written by Mordecai Avriel and published by SIAM. This book was released on 2010-11-25 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Plenum Press, 1988.
Download or read book Handbook of Generalized Convexity and Generalized Monotonicity written by Nicolas Hadjisavvas and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. Such enormous research activity is partially due to the discovery of a rich, elegant and deep theory which provides a basis for interesting existing and potential applications in different disciplines. The handbook offers an advanced and broad overview of the current state of the field. It contains fourteen chapters written by the leading experts on the respective subject; eight on generalized convexity and the remaining six on generalized monotonicity.
Download or read book Pseudolinear Functions and Optimization written by Shashi Kant Mishra and published by CRC Press. This book was released on 2014-12-18 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pseudolinear Functions and Optimization is the first book to focus exclusively on pseudolinear functions, a class of generalized convex functions. It discusses the properties, characterizations, and applications of pseudolinear functions in nonlinear optimization problems.The book describes the characterizations of solution sets of various optimiza
Download or read book Convex Functions written by Jonathan M. Borwein and published by Cambridge University Press. This book was released on 2010-01-14 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.
Download or read book General Inequalities 1 Allgemeine Ungleichungen 1 written by BECKENBACH and published by Birkhäuser. This book was released on 2013-12-01 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: personlichen Kontakt der Wissenschaftler untereinander zustande kommt, als die unpersonliche, nur literarische Information."
Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
Download or read book The Theory of Linear Economic Models written by David Gale and published by University of Chicago Press. This book was released on 1989-02-10 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the edition of 1960. Gale (math, economics, operations research, U. of Cal. Berkeley) provides a complete and systematic treatment of the topic. Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book Basic Mathematical Programming Theory written by Giorgio Giorgi and published by Springer Nature. This book was released on 2023-07-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations research, management sciences, engineering, chemistry, physics, statistics, computer science, biology, and social sciences. This book presents a unified, progressive treatment of the basic mathematical tools of mathematical programming theory. The authors expose said tools, along with results concerning the most common mathematical programming problems formulated in a finite-dimensional setting, forming the basis for further study of the basic questions on the various algorithmic methods and the most important particular applications of mathematical programming problems. This book assumes no previous experience in optimization theory, and the treatment of the various topics is largely self-contained. Prerequisites are the basic tools of differential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. The book is aimed at both undergraduate and postgraduate students interested in mathematical programming problems but also those professionals who use optimization methods and wish to learn the more theoretical aspects of these questions.
Download or read book Characterization of Pseudo convex Functions and Class of Functions with Equivalent Local and Global Properties written by Mohamad Reza Gholami and published by . This book was released on 1981 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Management Science written by and published by . This book was released on 1977 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes special issues: The Professional series in the management sciences.
Download or read book Annual Department of Defense Bibliography of Logistics Studies and Related Documents written by United States. Defense Logistics Studies Information Exchange and published by . This book was released on 1977 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quasi convex and Pseudo convex Functions on Solid Convex Sets written by Jacques A. Ferland and published by . This book was released on 1971 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the paper is to prove that testing quasi-convexity (pseudo-convexity) of quadratic functions on solid convex sets can be reduced to an examination of finitely many conditions. One determines two maximal domains of quasi-convexity (pseudo-convexity) for the quadratic form Psi(x) = (x, Dx) where D has exactly one negative eigenvalue, and conversely, one shows that if the quadratic form Psi is quasi-convex (pseudo-convex) on a solid convex set, then the matrix D has exactly one negative eignevalue and the solid convex set is contained in one of the maximal domains. The special case when the solid convex set is the nonnegative (semi-positive) orthant is also analyzed. This study is then extended to quadratic functions Phi(x) = 1/2(x, Dx) + (c, x). Analogous results hold under the additional condition that the set (a/Da+c = 0) is not empty. In the last part of this paper, one analyzes functions that are not necessarily quadratic. One obtains some results on mathematical programming problems having twice differentiable quasi-convex objective function and constraint functions. Finally, one gives a necessary condition and a sufficient condition for the quasi-convexity of a function in Class C squared (i.e., twice continuously differentiable) on a solid convex set. One also establishes a relation between the quasi-convexity and the pseudo-convexity of twice differentiable functions on solid convex sets. (Author).
