Characterization of perturbed mathematical programs and interval analysis

Author:

Dinkel John J.,Tretter Marietta J.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Reference13 articles.

1. E. Adams and R. Lohner, “Error bounds and sensitivity analysis,” in: R. Stepleman et al. eds.,Scientific Computing (North-Holland, Amsterdam, 1983) pp. 213–222.

2. J. Dinkel and M. Tretter, “An interval arithmetic approach to sensitivity analysis in geometric programming,”Operations Research 35 (1987) 859–866.

3. J. Dinkel, M. Tretter and D. Wong, “Interval Newton methods and perturbed problems,”Applied Mathematics and Computation 28 (1988) 211–222.

4. A.V. Fiacco,Introduction to Sensitivity and Stability Analysis in Non-linear Programming (Academic Press, New York, 1983

5. E.R. Hansen, “Global optimization using interval analysis—The multi-dimensional case”,Numerische Mathematik 34 (1980) 247–270.

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2. Minimizing Convex Functions with Bounded Perturbations;SIAM Journal on Optimization;2010-01

3. A closed formula for local sensitivity analysis in mathematical programming;Engineering Optimization;2006-01

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