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Alberth, O.: Precise Numerical Methods Using C++
Springer Science and Business Media LLC - Tập 4 - Trang 307-308 - 1998
Ramon Moore
A new characterization of the set of all intervals, based on the necessity to check consistency easily
Springer Science and Business Media LLC - - 1995
Oriss Misane, Vladik Kreinovich
A Relation Between Morphological and Interval Operations
Springer Science and Business Media LLC - Tập 4 - Trang 167-178 - 1998
Antony T. Popov
In our work we show that the operations of interval algebra can be expressed by morphological operations on an appropriately chosen lattice defined over the set of intervals on the real line, when regarding real interval arithmetic, and in the complex plane, when regarding complex interval arithmetic. Using the morphological representation of the interval operations, a generalization of the additi...... hiện toàn bộ
First Announcement
Springer Science and Business Media LLC - Tập 4 - Trang 203-204 - 1998
On Overestimations Produced by the Interval Gaussian Algorithm
Springer Science and Business Media LLC - Tập 3 - Trang 363-368 - 1997
Jiří Rohn
Interval Gaussian algorithm is a popular method for enclosing solutions of linear interval equations. In this note we show that both versions of the method (with or without preconditioning) may yield large overestimations for arbitrarily small data widths even in case n = 4.
Rump's Example Revisited
Springer Science and Business Media LLC - Tập 8 - Trang 245-248 - 2002
Eugene Loh, G. William Walster
Rump published an example (Algorithms for Verified Inclusions: Theory and Practice, in: Moore, R. E. (ed.), Reliability in Computing: The Role of Interval Methods in Scientific Computing, Academic Press, Boston, 1988, pp. 109–126) in which numerical evaluation of an expression gave a misleading result, even though use of increasing arithmetic precision suggested reliable computation. This oft-cite...... hiện toàn bộ
Interval Monte Carlo as an Alternative to Second-Order Sampling for Estimating Ecological Risk
Springer Science and Business Media LLC - Tập 13 - Trang 71-81 - 2006
Janos G. Hajagos
Interval Monte Carlo offers an alternative to second-order approaches for modeling measurement uncertainty in a simulation framework. Using the example of computing quasi-extinction decline risk for an ecological population, an interval Monte Carlo model is built. If the model is not written optimally, the mean and standard deviation of the growth rate repeat, then the bounds on the quasi-extincti...... hiện toàn bộ
SIAM Conference on Optimization, Validated Computing 2002, and the Fields Institute Informal Working Group on Validated Optimization
Springer Science and Business Media LLC - Tập 8 - Trang 419-424 - 2002
R. Baker Kearfott, G. William Walster
Parallel interval-based reasoning in medical knowledge-based system Clinaid
Springer Science and Business Media LLC - Tập 1 - Trang 109-140 - 1995
Ladislav J. Kohout, Isabel Stabile, Hasan Kalantar, F. San-Andres, John Anderson
The paper continues a series of papers and a monograph [33], where we have described the conceptual structures as well as the basic architecture of a knowledge-based systemCunaid.
Solving Nonlinear Constrained Minimization Problems with a New Interval Valued Function
Springer Science and Business Media LLC - Tập 5 - Trang 395-406 - 1999
Ferenc Kálovics
The paper represents a continuation of the work the author previously published in this journal for unconstrained problems. An interval (box) valued function, the so-called zone function, is introduced in the first section. The next section uses the new notion for finding global minima of continuous multivariate real functions over a set given by nonlinear inequality constraints. Two numerical exa...... hiện toàn bộ
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