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Better than linear convergence and safeguarding in nonsmooth minimization

  • Nondifferentiable Optimization
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Book cover System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 59))

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6. References

  1. F. H. Clarke, Generalized gradients and applications, Transactions of the American Mathematical Society 205 (1975) 247–262.

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  2. C. Lemarechal and R. Mifflin, Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions, Mathematical Programming 24 (1982) 241–256.

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  3. I. Mifflin and R. Mifflin, A BASIC program for solving univariate constrained minimization problems, Dept. of Pure and Applied Mathematics, Washington State University (Pullman, WA 1983).

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  4. R. Mifflin, A modification and extension of Lemarechal's algorithm for nonsmooth minimization, in Nondifferential and Variational Techniques in Optimization, R. Wets and D. Sorensen, eds. Mathematical Programming Study 16 (1982) 77–90.

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  5. R. Mifflin, A superlinearly convergent algorithm for one-dimensional constrained minimization problems with convex functions, Mathematics of Operations Research 8 (1983) 185–195.

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  6. R. Mifflin, Stationarity and superlinear convergence of an algorithm for univariate locally Lipschitz constrained minimization, Department of Pure and Applied Mathematics, Washington State University (Pullman, 1982), to appear in Mathematical Programming.

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P. Thoft-Christensen

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© 1984 Springer-Verlag

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Mifflin, R. (1984). Better than linear convergence and safeguarding in nonsmooth minimization. In: Thoft-Christensen, P. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 59. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008905

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  • DOI: https://doi.org/10.1007/BFb0008905

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13185-4

  • Online ISBN: 978-3-540-38828-9

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