TITLE:
The Solution of Nonlinear Equations via the Method of Hurwitz-Radon Matrices
AUTHORS:
Dariusz Jacek Jakóbczak
KEYWORDS:
Image Analysis, Nonlinear Equation, Root of Function, Curve Interpolation, Hurwitz-Radon
JOURNAL NAME:
Journal of Computer and Communications,
Vol.2 No.10,
August
18,
2014
ABSTRACT: Image analysis and computer vision are interested in suitable methods to solve the nonlinear equations. Coordinate xfor f (x)= 0is 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 curvef 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.