Nonlinear programming, 2: proceedings of the Special Interest Group on Mathematical Programming symposium, conducted by the Computer Sciences Department at the University of Wisconsin--Madison, April 15-17, 1974

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Academic Press, 1975 - Mathematics - 361 pages
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Convergence properties of a class of minimization algorithms; Convergence of the reduced gradient method; A quasi-newton method for unconstrained minimization problems; Superlinearly convergent algorithms for linearly constrained optimization; An ideal penalty function for constrained optimization; On penalty and multiplier methods for constrained minimization; Rate of convergence of the method of multipliers with inexact minimization; Optimization with corners; The use of matrix factorizations in derivative-free nonlinear least squares algorithms; Newton derived methods for nonlinear equations and inequalities; Disjunctive programming: cutting planes from logical conditions.

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Contents

Convergence of the Reduced Gradient Method
29
A QuasiNewton Method for Unconstrained Minimization Problems
55
Superlinearly Convergent Algorithms for Linearly Constrained Optimization
101
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