LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	519.6
Title	Generalized Convexity and Optimization (EB) : Theory and Applications / by Alberto Cambini, Laura Martein.
Author	Cambini, Alberto. , 1941-
Added Personal Name	Martein, Laura
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2009.
Physical Details	: online resource.
Series	Lecture notes in economics and mathematical systems 0075-8442 ; ; 616
ISBN	9783540708766
Summary Note	The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions, which are the many non-convex functions that share at least one of the valuable properties of convex functions and which are often more suitable for describing real-world problems. The book will be a useful tool not only for researchers, but also for graduates and advanced students working in economics, mathematical programming, the management sciences and operations research. It begins with a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their applications. The text continues with an introductory chapter devoted to generalized monotonicity and its relationship to generalized convexity, with the characterizations of important classes of fractional programming, and with theoretical properties and sequential methods. The book also includes numerous exercises and two appendices which list the findings consulted. "I can highly recommend this excellent new volume to anyone who is trying to teach on generalized convexity/generalized monotonicity in an applied mathematics department or in a professional school. The volume contains proofs and exercises. It also provides sufficient references for those who want to dig deeper as graduate students and as researchers. With dedication and much love the authors have produced a book that is accessible for anyone with a limited background in basic mathematics at the college level. At the same time, it also leads to more sophisticated mathematics for those who spend more time on a particular chapter." From the Foreword, Siegfried Schaible, University of California, Riverside, USA:
Contents note	Convex functions -- Non-differentiable generalized convex functions -- Differentiable generalized convex functions -- Optimality and generalized convexity -- Generalized convexity and generalized monotonicity -- Generalized convexity of quadratic functions -- Generalized convexity of some classes of fractional functions -- Sequential methods for generalized convex fractional programs -- Solutions.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-540-70876-6
Links to Related Works	Subject References: Convex functions . Mathematical optimization . Microeconomics . Operations research . Operations research, mathematical programming . Operations Research/Decision Theory . Optimization . Authors: author . Cambini, Alberto. 1941- . Martein, Laura . Corporate Authors: SpringerLink (Online service) . Series: Lecture notes in economics and mathematical systems . Classification: 519.6 .

Catalogue Display

Generalized Convexity and Optimization: Theory and Applications

Reviews