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Reliable Computing

, Volume 9, Issue 3, pp 241–250 | Cite as

Finding All Solution Sets of Piecewise-Trapezoidal Equations Described by Set-Valued Functions

  • Kiyotaka Yamamura
Article

Abstract

This letter deals with the problem of bounding all solution sets to systems of nonlinear equations where nonlinear terms are described by set-valued functions termed piecewise-trapezoidal functions. Such a problem is important in the numerical computation with guaranteed accuracy and in the analysis of fluctuated systems (such as the tolerance analysis of electronic circuits). It is shown that the proposed algorithm could find all solution sets to a system of 300 piecewise-trapezoidal equations approximately in about 30 hours using a 360 MHz computer.

Keywords

Mathematical Modeling Numerical Computation Computational Mathematic Industrial Mathematic Nonlinear Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Kiyotaka Yamamura
    • 1
  1. 1.Department of Electrical, Electronic, and Communication Engineering, Faculty of Science and EngineeringChuo University, Bunkyo-kuTokyoJapan

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