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A New Tool: Solution Boxes of Inequality

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DOI: 10.4236/jsea.2010.38085    3,352 Downloads   6,171 Views   Citations

ABSTRACT

Many numerical methods reduce the solving of a complicated problem to a set of elementary problems. In this way, the author reduced the finding of solution boxes of a system of inequalities, the computation of integral values with error bounds, the approximation of global maxima to computing solution boxes of one inequality. These previous papers presented the mathematical aspects of the problems first of all. In this paper the computational handling of solution boxes of an inequality (as a new tool of computer methods) is discussed in detail.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Kálovics, F. (2010) A New Tool: Solution Boxes of Inequality. Journal of Software Engineering and Applications, 3, 737-745. doi: 10.4236/jsea.2010.38085.

References

[1] F. Kálovics, “Creating and Handling Box Valued Functions Used in Numerical Methods,” Journal of Computational and Applied Mathematics, Vol. 147, No. 2, 2002, pp. 333-348.
[2] R. Hammer, M. Hocks, U. Kulisch and D. Ratz, “Numerical Toolbox for Verified Computing,” Springer- Verlag, Berlin, 1993.
[3] F. Kálovics and G. Mészáros, “Box Valued Functions in Solving Systems of Equations and Inequalities,” Numerical Algorithms, Vol. 36, No. 1, 2004, pp. 1-12.
[4] F. Kálovics, “Zones and Integrals,” Journal of Computational and Applied Mathematics, Vol. 182, No. 2, 2005, pp. 243-251.
[5] F. Kálovics, “Two Improved Zone Methods,” Miskolc Mathematical Notes, Vol. 8, No. 2, 2007, pp. 169-179.

  
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