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On the convergence properties of Hildreth’s quadratic programming algorithm. (English) Zbl 0712.90054
The linear convergence rate of Hildreth’s algorithm with an almost cyclic control for convex quadratic programming problems is proved. The proof is carried out for both its sequential and simultaneous version. Bounds on the convergence rate are derived. The results are compared with those obtained previously by J. Mandel [Math. Program. 30, 218-228 (1984; Zbl 0545.90068)].
Reviewer: K.Zimmermann
MSC:
90C20Quadratic programming
65K05Mathematical programming (numerical methods)
90C25Convex programming
90-08Computational methods (optimization)
References:
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