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 x  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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