Computational Optimization: A Tribute to Olvi Mangasarian Volume I

ISBN-13: 9781461373674 / Angielski / Miękka / 2012 / 273 str.

Jong-Shi Pang

Opis

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.

Spis treści

Volume I. Guest Editorial; J.-S. Pang. Solving Euclidean Distance Matrix Completion Problems Via Semidefinite Programming; A.Y. Alfakih, et al. A Logarithmic-Quadratic Proximal Method for Variational Inequalities; A. Auslender, et al. A Note on Error Bounds for Convex and Nonconvex Programs; D.P. Bertsekas. Multicategory Classification by Support Vector Machines; E.J. Bredensteiner, K.P. Bennett. Quartic Barriers; R.W. Cottle. A Partitioned epsilon-Relaxation Algorithm for Separable Convex Network Flow Problems; R. De Leone, et al. On a Primal-Dual Analystic Center Cutting Plane Method for Variational Inequalities; M. Denault, J.-L. Goffin. A Shifted-Barrier Primal-Dual Algorithm Model for Linearly Constrained Optimization Problems; G. Di Pillo, et al. Arithmetic Continuation of Regular Roots of Formal Parametric Polynomial Systems; B.C. Eaves, U.G. Rothblum. Interfaces to PATH 3.0: Design, Implementation and Usage; M.C. Ferris, T.S. Munson. Existence and Limiting Behavior of Trajectories Associated with Po-equations; M.S. Gowda, M.A. Tawhid. Stabilized Sequential Quadratic Programming; W.W. Hager. Volume II. Guest Editorial; J.-S. Pang. The Clarke and Michel-Penot Subdifferentials of the Eigenvalues of a Symmetric Matrix; J.-B. Hiriart-Urruty, A.S. Lewis. QPECgen, a MATLAB Generator for Mathematical Programs with Quadratic Objectives and Affine Variational Inequality Constraints; H. Jiang, D. Ralph. Generalized Kojima-Functions and Lipschitz Stability of Critical Points; D. Klatte, B. Kummer. On Extensions of the Frank-Wolfe Theorems; Z.-Q. Luo, S. Zhang. Complementarity Constraint Qualifications and Simplified B-Stationarity Conditions for Mathematical Programs with Equilibrium Constraints; J.-S. Pang, M. Fukushima. First-Order Algorithms for Generalized Semi-Infinite Min-Max Problems; E. Polak, et al. An Optimal Way of Moving a Sequence of Points onto a Curve in Two Dimensions; M.J.D. Powell. Some Optimization Reformulations of the Extended Linear Complementarity Problem; M.V. Solodov. On NCP-Functions; D. Sun, L. Qi. Convergence and Error Bound for Perturbation of Linear Programs; P. Tseng. An Interior-Point Algorithm for Nonconvex Nonlinear Programming; R.J. Vanderbei, D.F. Shanno. Testing Parallel Variable Transformation; E. Yamakawa, M. Fukushima.