Nonsmooth vector functions and continuous optimization /
Jeyakumar, Vaithilingam.
Nonsmooth vector functions and continuous optimization / by V. Jeyakumar, D.T. Luc. - New York : Springer, c2008. - x, 269 p. ; 25 cm. - Optimization and its applications ; v. 10 . - Springer optimization and its applications ; v. 10. .
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, as well as variational inequalities in finite dimensions. The treatment is motivated by a desire to expose an elementary approach to nonsmooth calculus, using a set of matrices to replace the nonexistent Jacobian matrix of a continuous vector function.
Includes bibliographical references (p. [259]-264) and index.
Pseudo-Jacobian matrices -- Calculus rules for Pseudo-Jacobians -- Openness of continuous vector functions -- Nonsmooth mathematical programming problems -- Monotone operators and nonsmooth variational inequalities.
9780387737164 (alk. paper) 0387737162 (alk. paper) 9780387737171 (eISBN) 0387737170 (eISBN)
Nonsmooth optimization.
Vector valued functions.
Mathematical optimization.
Nichtglatte Optimierung.
Vektorfunktion.
519.6 / JEY
Nonsmooth vector functions and continuous optimization / by V. Jeyakumar, D.T. Luc. - New York : Springer, c2008. - x, 269 p. ; 25 cm. - Optimization and its applications ; v. 10 . - Springer optimization and its applications ; v. 10. .
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, as well as variational inequalities in finite dimensions. The treatment is motivated by a desire to expose an elementary approach to nonsmooth calculus, using a set of matrices to replace the nonexistent Jacobian matrix of a continuous vector function.
Includes bibliographical references (p. [259]-264) and index.
Pseudo-Jacobian matrices -- Calculus rules for Pseudo-Jacobians -- Openness of continuous vector functions -- Nonsmooth mathematical programming problems -- Monotone operators and nonsmooth variational inequalities.
9780387737164 (alk. paper) 0387737162 (alk. paper) 9780387737171 (eISBN) 0387737170 (eISBN)
Nonsmooth optimization.
Vector valued functions.
Mathematical optimization.
Nichtglatte Optimierung.
Vektorfunktion.
519.6 / JEY