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Kearfott, R
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Introduction to interval analysis
Moore R., Kearfott R., Cloud M., Society for Industrial and Applied Mathematics, Philadelphia, PA, 2009. 235 pp. Type: Book (9780898716696)
Ramon Moore, one of the authors, introduced interval analysis almost a half-century ago. The idea behind it is very simple: when we state a numerical value for some computed or observed variable, say 4.357, we are really stating that t...
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Jul 10 2009
Knowledge processing with interval and soft computing
Hu C. (ed), Kearfott R., Korvin A. (ed), Kreinovich V. (ed), Springer Publishing Company, Incorporated, 2008. 233 pp. Type: Book (9781848003255)
Soft computing is a term that encompasses problems that are hard to characterize with solid, single numbers. It includes problems that can be described qualitatively--low, medium, or high--or that can use ranges of nu...
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Apr 30 2009
On stopping criteria in verified nonlinear systems or optimization algorithms
Kearfott R., Walster G. ACM Transactions on Mathematical Software 26(3): 373-389, 2000. Type: Article
The basic tool in the verified solution of constrained or unconstrained optimization or root-finding problems is the interval Newton method. Analogues of conventional termination criteria can be problematic, potentially leading to inad...
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Dec 1 2000
Algorithm 763: INTERVAL_ARITHMETIC: a Fortran 90 module for an interval data type
Kearfott R. ACM Transactions on Mathematical Software 22(4): 385-392, 1996. Type: Article
Interval arithmetic has generated a large volume of papers and software. A number of software packages are listed in the bibliography of this paper, which proposes an improvement to the INTLIB package of Kearfott et al. [1]....
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Feb 1 1998
A Fortran 90 environment for research and prototyping of enclosure algorithms for nonlinear equations and global optimization
Kearfott R. ACM Transactions on Mathematical Software 21(1): 63-78, 1995. Type: Article
Kearfott describes an environment for conducting research and prototyping algorithms designed for two closely related problem areas: constrained and unconstrained global optimization problems, and finding all roots of a system of nonli...
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Aug 1 1996
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