Convex Analysis and Minimization Algorithms II

1. Front Matter

   Pages I-XVII

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2. Inner Construction of the Subdifferential: Towards Implementing Descent Methods

   • Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal

   Pages 1-34

3. Conjugacy in Convex Analysis

   • Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal

   Pages 35-90

4. Approximate Subdifferentials of Convex Functions

   • Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal

   Pages 91-136

5. Abstract Duality for Practitioners

   • Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal

   Pages 137-193

6. Inner Construction of the Approximate Subdifferential: Methods of ε-Descent

   • Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal

   Pages 195-222

7. Dynamic Construction of Approximate Subdifferentials: Dual Form of Bundle Methods

   • Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal

   Pages 223-274

8. Acceleration of the Cutting-Plane Algorithm: Primal Forms of Bundle Methods

   • Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal

   Pages 275-330

9. Back Matter

   Pages 331-348

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From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books...that they are designed not for the expert, but for those who whish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"

• Convex Analysis
• Mathhematical Programming
• Nonsmooth Optimization
• Numerical Algorithms
• Optimization
• algorithms
• calculus

From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations.... one of the strong features of these books. . . [is] that they are designed not for the expert, but for those who wish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"

• Département de Mathématiques, Université Paul Sabatier, Toulouse, France

  Jean-Baptiste Hiriart-Urruty

• INRIA, Rocquencourt, Domaine de Voluceau, Le Chesnay, France

  Claude Lemaréchal

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