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Tafinsteva, V., Machina, A. and Ponosov, A. (2013) Polynomial Representations of Piecewise-Linear Differential Equations Arising from Gene Regulatory Networks. Nonlinear Analysis: Real World Applications, 14, 1732-1754.
http://dx.doi.org/10.1016/j.nonrwa.2012.11.008

has been cited by the following article:

• TITLE: Convergence Properties of Piecewise Power Approximations

  AUTHORS: Arcady Ponosov, Anna Machina, Valeria Tafintseva

  KEYWORDS: Power-Law Representations, Piecewise Nonlinear Approximations, Least-Squares Minimization, Mean-Square and Uniform Convergence

  JOURNAL NAME: Applied Mathematics, Vol.7 No.13, August 11, 2016

  ABSTRACT: We address the problem of convergence of approximations obtained from two versions of the piecewise power-law representations arisen in Systems Biology. The most important cases of mean-square and uniform convergence are studied in detail. Advantages and drawbacks of the representations as well as properties of both kinds of convergence are discussed. Numerical approximation algorithms related to piecewise power-law representations are described in Appendix.