Book 2014

Introduction to Nonsmooth Optimization

Theory, Practice and Software

Authors:

ISBN: 978-3-319-08113-7 (Print) 978-3-319-08114-4 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xviii

  2. Nonsmooth Analysis and Optimization

    1. Front Matter

      Pages 1-2

    2. No Access

      Chapter

      Pages 3-9

      Theoretical Background

    3. No Access

      Chapter

      Pages 11-60

      Convex Analysis

    4. No Access

      Chapter

      Pages 61-116

      Nonconvex Analysis

    5. No Access

      Chapter

      Pages 117-137

      Optimality Conditions

    6. No Access

      Chapter

      Pages 139-168

      Generalized Convexities

    7. No Access

      Chapter

      Pages 169-197

      Approximations of Subdifferentials

    8. Back Matter

      Pages 199-200

  3. Nonsmooth Problems

    1. Front Matter

      Pages 201-202

    2. No Access

      Chapter

      Pages 203-240

      Practical Problems

    3. No Access

      Chapter

      Pages 241-245

      SemiAcademic Problems

    4. No Access

      Chapter

      Pages 247-285

      Academic Problems

    5. Back Matter

      Pages 287-291

  4. Nonsmooth Optimization Methods

    1. Front Matter

      Pages 293-294

    2. No Access

      Chapter

      Pages 295-297

      Subgradient Methods

    3. No Access

      Chapter

      Pages 299-303

      Cutting Plane Methods

    4. No Access

      Chapter

      Pages 305-310

      Bundle Methods

    5. No Access

      Chapter

      Pages 311-312

      Gradient Sampling Methods

    6. No Access

      Chapter

      Pages 313-325

      Hybrid Methods

    7. No Access

      Chapter

      Pages 327-333

      Discrete Gradient Methods

    8. No Access

      Chapter

      Pages 335-337

      Constraint Handling

    9. No Access

      Chapter

      Pages 339-356

      Numerical Comparison of NSO Softwares

  5. Back Matter

    Pages 357-372