Convex Analysis and Global Optimization

Part I. Convex Analysis

1. Convex Sets
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2. Convex Functions
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3. Fixed Point and Equilibrium
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4. DC Functions and DC Sets
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Part II. Global Optimization

5. Motivation and Overview
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6. General Methods
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7. DC Optimization Problems
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8. Special Methods
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9. Parametric Decomposition
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10. Nonconvex Quadratic Programming
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11. Monotonic Optimization
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12. Polynomial Optimization
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13. Optimization Under Equilibrium Constraints
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Keywords: Mathematics, Calculus of Variations and Optimal Control; Optimization, Numeric Computing, Mathematical Modeling and Industrial Mathematics, Theory of Computation, Operation Research/Decision Theory, Business Mathematics