A comparison of some methods for bounding connected and disconnected solution sets of interval linear systems

@article{Kearfott2008ACO,
  title={A comparison of some methods for bounding connected and disconnected solution sets of interval linear systems},
  author={R. Baker Kearfott},
  journal={Computing},
  year={2008},
  volume={82},
  pages={77-102}
}
Finding bounding sets to solutions to systems of algebraic equations with uncertainties in the coefficients, as well as rapidly but rigorously locating all solutions to nonlinear systems or global optimization problems, involves bounding the solution sets to systems of equations with wide interval coefficients. In many cases, singular systems are admitted within the intervals of uncertainty of the coefficients, leading to unbounded solution sets with more than one disconnected component. This… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Reliable high performance computing strategies for chemical process modelling

C.-Y. Gau, M. A. Stadtherr
1999
View 4 Excerpts
Highly Influenced

Splitting Preconditioners for the Interval Newton Method

C.-Y. Hu
PhD thesis, University of Southwestern Louisiana • 1990
View 4 Excerpts
Highly Influenced

Uncertainty in mechanics problems

R. L. Muhanna, R. L. Mullen
Journal of Engineering Mechanics, 127 • 2001

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