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Interval Estimations of Solution Sets to Real-Valued Systems of Linear or Non-Linear Equations

  • Published:
Reliable Computing

Abstract

This is a second paper devoted to present the Modal Interval Analysis as a framework where the search of formal solutions for a set of simultaneous interval linear or non-linear equations is started on, together with the interval estimations for sets of solutions of real-valued systems in which coefficients and right-hand sides belong to certain intervals. The main purpose of this second paper is to show that the modal intervals are a suitable tool to approach problems where logical references appear, for example, to find interval estimates of a special class of generalized sets of solutions of real-valued linear and non-linear systems, the UE-solution sets.

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Sainz, M.Á., Gardeñes, E. & Jorba, L. Interval Estimations of Solution Sets to Real-Valued Systems of Linear or Non-Linear Equations. Reliable Computing 8, 283–305 (2002). https://doi.org/10.1023/A:1016385132064

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