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Journal Articles Applied Mathematical Modelling Year : 2015

Parameter optimization of orthonormal basis functions for efficient rational approximations

Abstract

In this paper, the authors present an efficient procedure for optimal placement of poles in rational approximations by Müntz-Laguerre functions. The technique is formulated as the minimization of a quadratic criterion and the linear equations involved are efficiently expressed using the orthonormal basis functions. The presented technique has direct application in rational approximation and model order reduction of large-degree or infinite-dimensional systems. An efficient choice of parameters in orthogonal Müntz-Laguerre approximation Model order reduction of large-degree or infinite-dimensional systems The choice of Müntz-Laguerre parameters is based on a least squares optimization Abstract: In this paper, the authors present an efficient procedure for optimal placement of poles in rational approximations by Müntz-Laguerre functions. The technique is formulated as the minimization of a quadratic criterion and the linear equations involved are efficiently expressed using the orthonormal basis functions. The presented technique has direct application in rational approximation and model order reduction of large-degree or infinite-dimensional systems.
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Dates and versions

hal-01160320 , version 1 (05-06-2015)

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Noël Tanguy, Nadia Iassamen, Mihai Telescu, Pascale Cloastre. Parameter optimization of orthonormal basis functions for efficient rational approximations. Applied Mathematical Modelling, 2015, 39, pp.4963-4970. ⟨10.1016/j.apm.2015.04.017⟩. ⟨hal-01160320⟩
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