Pseudo-Jacobian matrices -- Calculus rules for Pseudo-Jacobians -- Openness of continuous vector functions -- Nonsmooth mathematical programming problems -- Monotone operators and nonsmooth variational inequalities
Summary
"Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems and variational inequalities in finite dimensions. Illustrated by numerous examples of known generalized derivatives, the work may serve as a valuable reference for graduate students, researchers, and applied mathematicians who wish to use nonsmooth techniques and continuous optimization to model and solve problems in mathematical programming, operations research, and engineering. Readers require only a modest background in undergraduate mathematical analysis to follow the material with minimal effort."--Jacket
Bibliography
Includes bibliographical references (pages 255-264) and index