The Solution of Nonlinear Equations via the Method of Hurwitz-Radon Matrices

作     者：Dariusz Jacek Jakóbczak 

作者机构：Department of Electronics and Computer Science Technical University of Koszalin Koszalin Poland 

出 版 物：《Journal of Computer and Communications》 (电脑和通信（英文）)

年 卷 期：2014年第2卷第10期

页      面：9-16页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Image Analysis Nonlinear Equation Root of Function Curve Interpolation Hurwitz-Radon 

摘      要：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.