JCC  Vol.2 No.10 , August 2014
The Solution of Nonlinear Equations via the Method of Hurwitz-Radon Matrices
Abstract

Image analysis and computer vision are interested in suitable methods to solve the nonlinear equations. Coordinate  for f (x) = 0 is crucial because each equation can be transformed into f (x) = 0. A novel method of Hurwitz-Radon Matrices (MHR) can be used in approximation of a root of function in the plane. The paper contains a way of data approximation via MHR method to solve any equation. Proposed method is based on the family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operator of Hurwitz-Radon (OHR), built from these matrices, is described. Two-dimensional data are represented by discrete set of curve  f points. It is shown how to create the orthogonal OHR operator and how to use it in a process of data interpolation. MHR method is interpolating the curve point by point without using any formula or function.


Cite this paper
Jacek Jakóbczak, D. (2014) The Solution of Nonlinear Equations via the Method of Hurwitz-Radon Matrices. Journal of Computer and Communications, 2, 9-16. doi: 10.4236/jcc.2014.210002.
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