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A Nonlinear Generalization of Singular Value Decomposition and Its Applications to Mathematical Modeling and Chaotic Cryptanalysis |
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| Authors: | Prabhakar G Vaidya Sajini Anand P S Nithin Nagaraj |
| Institution: | (1) Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad, 30, 28911 Leganés (Madrid), Spain;(2) Departamento de Análisis Matemático, Facultad de Ciencias, Campus de Teatinos, 29071 Málaga, Spain |
| Abstract: | In this paper we are going to study the zero location and asymptotic behavior of extremal polynomials with respect to a generalized non-diagonal Sobolev norm in which the product of the function and its derivative appears. The orthogonal polynomials with respect to this Sobolev norm are a particular case of those extremal polynomials. The multiplication operator by the independent variable is the main tool in order to obtain our results. |
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