Nonsmooth Mechanics and Convex Optimization

by Yoshihiro Kanno

Overview

"This book concerns matter that is intrinsically difficult: convex optimization, complementarity and duality, nonsmooth analysis, linear and nonlinear programming, etc. The author has skillfully introduced these and many more concepts, and woven them into a seamless whole by retaining an easy and consistent style throughout. The book is not all the

Product Details

ISBN-13:	9781040206218
Publisher:	CRC Press
Publication date:	04/05/2011
Sold by:	Barnes & Noble
Format:	eBook
Pages:	445
File size:	5 MB

About the Author

Yoshihiro Kanno is an associate professor in the Department of Mathematical Informatics at the University of Tokyo, Japan. Dr. Kanno received his Ph.D in structural engineering from Kyoto University, Japan, in 2002. He received the Maeda Prize in Engineering in 2005 and CJK-OSM4 Award for Young Investigator in 2006.

The author and coauthor of numerous professional articles on applied mechanics and optimization, Dr. Kanno's research interest is in the interface between mechanics and mathematics. He is a member of the International Society for Structural and Multidisciplinary Optimization, the Japan Society of Mechanical Engineers, the Architectural Institute of Japan, and the Operations Research Society of Japan.

Table of Contents

Part I: Convex Optimization Over Symmetric ConeCones, Complementarity, and Conic Optimization. Optimality and Duality. Applications in Structural Engineering.Part II: Cable Networks: An Example in Nonsmooth MechanicsPrinciples of Potential Energy for Cable Networks. Duality in Cable Networks: Principles of Complementary Energy.Part III: Numerical MethodsAlgorithms for Conic Optimization. Numerical Analysis of Cable Networks.Part IV: Problems in Nonsmooth MechanicsMasonry Structures. Planar Membranes. Frictional Contact Problems. Plasticity.

Editorial Reviews

"The text is rather self-contained with a clear structure, the material is presented nicely which makes it accessible to young researchers, the style is fluent and the examples are carefully selected. The monograph confirms the existence of strong interaction between mechanics and applied mathematics. It will certainly acquire an important position in everybody’s Mechanics and Applied Mathematics library."
Mathematical Reviews, 2012

"The text is rather self-contained with a clear structure, the material is presented nicely which makes it accessible to young researchers, the style is fluent and the examples are carefully selected. The monograph confirms the existence of strong interaction between mechanics and applied mathematics. It will certainly acquire an important position in everybody’s Mechanics and Applied Mathematics library."
Mathematical Reviews, 2012

From the Publisher