Computational Optimization

1. Front Matter

   Pages 1-4

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2. Guest Editorial

   • Jong-Shi Pang

   Pages 5-12

3. Solving Euclidean Distance Matrix Completion Problems Via Semidefinite Programming

   • Abdo Y. Alfakih, Amir Khandani, Henry Wolkowicz

   Pages 13-30

4. A Logarithmic-Quadratic Proximal Method for Variational Inequalities

   • Alfred Auslender, Marc Teboulle, Sami Ben-Tiba

   Pages 31-40

5. A Note on Error Bounds for Convex and Nonconvex Programs

   • Dimitri P. Bertsekas

   Pages 41-51

6. Multicategory Classification by Support Vector Machines

   • Erin J. Bredensteiner, Kristin P. Bennett

   Pages 53-79

7. Quartic Barriers

   • Richard W. Cottle

   Pages 81-105

8. A Partitioned ∈-Relaxation Algorithm for Separable Convex Network Flow Problems

   • Renato De Leone, Robert R. Meyer, Armand Zakarian

   Pages 107-126

9. On a Primal-Dual Analytic Center Cutting Plane Method for Variational Inequalities

   • M. Denault, J. L. Goffin

   Pages 127-155

10. A Shifted-Barrier Primal-Dual Algorithm Model for Linearly Constrained Optimization Problems

    • Gianni Di Pillo, Stefano Lucidi, Laura Palagi

    Pages 157-188

11. Arithmetic Continuation of Regular Roots of Formal Parametric Polynomial Systems

    • B. Curtis Eaves, Uriel G. Rothblum

    Pages 189-205

12. Interfaces to PATH 3.0: Design, Implementation and Usage

    • Michael C. Ferris, Todd S. Munson

    Pages 207-227

13. Existence and Limiting Behavior of Trajectories Associated with P0-equations

    • M. Seetharama Gowda, M. A. Tawhid

    Pages 229-251

14. Stabilized Sequential Quadratic Programming

    • William W. Hager

    Pages 253-273

Computational Optimization: A Tribute to Olvi Mangasarian serves as an excellent reference, providing insight into some of the most challenging research issues in the field.
This collection of papers covers a wide spectrum of computational optimization topics, representing a blend of familiar nonlinear programming topics and such novel paradigms as semidefinite programming and complementarity-constrained nonlinear programs. Many new results are presented in these papers which are bound to inspire further research and generate new avenues for applications. An informal categorization of the papers includes:

• Algorithmic advances for special classes of constrained optimization problems
• Analysis of linear and nonlinear programs
• Algorithmic advances
• B- stationary points of mathematical programs with equilibrium constraints
• Applications of optimization
• Some mathematical topics
• Systems of nonlinear equations.

• Analysis
• MATLAB
• Sage
• algorithms
• linear optimization
• nonlinear optimization
• optimization
• programming
• quadratic programming

• The Johns Hopkins University, USA

  Jong-Shi Pang

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