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Quasiconvex Programming and its Applications: Quasiconvex Maximization Problem Quasiconvex Minimization Problem Nonconvex Optimal control Problem Applications - Softcover
Synopsis
Notion of convexity plays an important role in Economics and Engineering. The general equilibrium theory is based on convex programming. In classical economics, production and utility functions are assumed to be concave functions and as consequence, demand and cost functions are convex. The firm theory requires to solve the concave maximization problem while consumer theory considers utility maxmization problem. In recent years, generalized convex functions such as quasiconvex functions are found to be useful in Economics. In this book we consider two problems of maximizing and minimizing a quasiconvex function. Both problems belong to a class of global optimization and application of classical conditions has not been successful for solving these problems. Moreover, the Lagrangean method provides only a stationary point without guarantee of local optimality. For these reasons, global optimization appears to require new methods different from the standard nonlinear programming techniques. We derive new global optimality conditions for our problems and construct some algorithms the for convex case. We show applications of quasiconvex programming in economics and engineering.
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About the Author
Rentsen Enkhbat is a Professor of the National University of Mongolia. He received his Ph.D degree from Irkutsk State University in Applied Mathematics. He has held visiting appointments at the University of Massachusetts, Kyoto University, Ibaraki University, Humbold University Berlin, University of Florida, KAIST(Korea).
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Quasiconvex Programming and its Applications
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LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10: 3838308077
ISBN 13: 9783838308074
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Notion of convexity plays an important role in Economics and Engineering. The general equilibrium theory is based on convex programming. In classical economics, production and utility functions are assumed to be concave functions and as consequence, demand and cost functions are convex. The firm theory requires to solve the concave maximization problem while consumer theory considers utility maxmization problem. In recent years, generalized convex functions such as quasiconvex functions are found to be useful in Economics. In this book we consider two problems of maximizing and minimizing a quasiconvex function. Both problems belong to a class of global optimization and application of classical conditions has not been successful for solving these problems. Moreover, the Lagrangean method provides only a stationary point without guarantee of local optimality. For these reasons, global optimization appears to require new methods different from the standard nonlinear programming techniques. We derive new global optimality conditions for our problems and construct some algorithms the for convex case. We show applications of quasiconvex programming in economics and engineering. 160 pp. Englisch. Seller Inventory # 9783838308074
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Quasiconvex Programming and its Applications
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Rentsen EnkhbatRentsen Enkhbat is a Professor of the National University of Mongolia. He received his Ph.D degree from Irkutsk State University in Applied Mathematics. He has held visiting appointments at the University of Massa. Seller Inventory # 5411519
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Quasiconvex Programming and its Applications
Published by
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10: 3838308077
ISBN 13: 9783838308074
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Notion of convexity plays an important role in Economics and Engineering. The general equilibrium theory is based on convex programming. In classical economics, production and utility functions are assumed to be concave functions and as consequence, demand and cost functions are convex. The firm theory requires to solve the concave maximization problem while consumer theory considers utility maxmization problem. In recent years, generalized convex functions such as quasiconvex functions are found to be useful in Economics. In this book we consider two problems of maximizing and minimizing a quasiconvex function. Both problems belong to a class of global optimization and application of classical conditions has not been successful for solving these problems. Moreover, the Lagrangean method provides only a stationary point without guarantee of local optimality. For these reasons, global optimization appears to require new methods different from the standard nonlinear programming techniques. We derive new global optimality conditions for our problems and construct some algorithms the for convex case. We show applications of quasiconvex programming in economics and engineering.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 160 pp. Englisch. Seller Inventory # 9783838308074
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Quasiconvex Programming and its Applications : Quasiconvex Maximization Problem Quasiconvex Minimization Problem Nonconvex Optimal control Problem Applications
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Notion of convexity plays an important role in Economics and Engineering. The general equilibrium theory is based on convex programming. In classical economics, production and utility functions are assumed to be concave functions and as consequence, demand and cost functions are convex. The firm theory requires to solve the concave maximization problem while consumer theory considers utility maxmization problem. In recent years, generalized convex functions such as quasiconvex functions are found to be useful in Economics. In this book we consider two problems of maximizing and minimizing a quasiconvex function. Both problems belong to a class of global optimization and application of classical conditions has not been successful for solving these problems. Moreover, the Lagrangean method provides only a stationary point without guarantee of local optimality. For these reasons, global optimization appears to require new methods different from the standard nonlinear programming techniques. We derive new global optimality conditions for our problems and construct some algorithms the for convex case. We show applications of quasiconvex programming in economics and engineering. Seller Inventory # 9783838308074
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Quasiconvex Programming and its Applications | Quasiconvex Maximization Problem Quasiconvex Minimization Problem Nonconvex Optimal control Problem Applications
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Taschenbuch. Condition: Neu. Quasiconvex Programming and its Applications | Quasiconvex Maximization Problem Quasiconvex Minimization Problem Nonconvex Optimal control Problem Applications | Enkhbat Rentsen | Taschenbuch | 160 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838308074 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 101462522
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Quasiconvex Programming and its Applications: Quasiconvex Maximization Problem Quasiconvex Minimization Problem Nonconvex Optimal control Problem Applications
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ISBN 13: 9783838308074
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