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Search for Safe Starting Regions to Compute Interval Solution to a Nonlinear Systems

Md. Shirazul Hoque Mollah, M. Zulfikar Ali

Abstract


R.E Moore and S.T. Jones discussed a search procedure based on interval computation for finding safe starting regions in n-dimensions for iterative methods for solving systems of nonlinear equations. In this paper, we present a numerical computation for searching an arbitrary n-dimensional rectangle for a region of safe starting points and verify computationally the convergence of interval solution of a nonlinear system of equations by using safe starting regions to R. Krawczyk's algorithm.

Keywords


Nonlinear system, Interval Analysis, Newton’s Algorithm, R. Krawczyk Algorithm.

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