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Jakóbczak, D. (2011) Data Extrapolation and Decision Making via Method of Hurwitz-Radon Matrices. In: Jedrzejowicz, P., Thanh Nguyen, N. and Hoang, K., Eds., Computational Collective Intelligence, Technologies and Applications, Lecture Notes in Computer Science, Vol. 6922, 173-182.

has been cited by the following article:

• 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.