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Preface IX
Pseudo-Jacobian Matrices 1
Preliminaries 1
Pseudo-Jacobian Matrices 10
Nonsmooth Derivatives 14
Pseudo-Differentials and Pseudo-Hessians of Scalar Functions 23
Recession Matrices and Partial Pseudo-Jacobians 35
Constructing Stable Pseudo-Jacobians 40
Gateaux and Frechet Pseudo-Jacobians 49
Calculus Rules for Pseudo-Jacobians 57
Elementary Rules 57
The Mean Value Theorem and Taylor's Expansions 66
A General Chain Rule 82
Chain Rules Using Recession Pseudo-Jacobian Matrices 85
Chain Rules for Gateaux and Frechet Pseudo-Jacobians 93
Openness of Continuous Vector Functions 99
Equi-Invertibility and Equi-Surjectivity of Matrices 99
Open Mapping Theorems 110
Inverse and Implicit Function Theorems 115
Convex Interior Mapping Theorems 118
Metric Regularity and Pseudo-Lipschitzian Property 128
Nonsmooth Mathematical Programming Problems 143
First-Order Optimality Conditions 143
Second-Order Conditions 155
Composite Programming 168
Multiobjective Programming 186
Monotone Operators and Nonsmooth Variational Inequalities 207
Generalized Monotone Operators 207
Generalized Convex Functions 222
Variational Inequalities 230
Complementarity Problems 243
Bibliographical Notes 255
References 259
Notations 265
Index 267
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Add Nonsmooth Vector Functions and Continuous Optimization, A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering. Fo, Nonsmooth Vector Functions and Continuous Optimization to the inventory that you are selling on WonderClubX
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Add Nonsmooth Vector Functions and Continuous Optimization, A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering. Fo, Nonsmooth Vector Functions and Continuous Optimization to your collection on WonderClub |