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Journal articles
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.
Cited literature [27 references]
https://hal.univ-brest.fr/hal-01160320
Contributor : Noël Tanguy <>
Submitted on : Friday, June 5, 2015 - 11:31:00 AM
Last modification on : Wednesday, June 24, 2020 - 4:19:29 PM
Long-term archiving on: : Tuesday, April 25, 2017 - 3:22:16 AM
Contributor : Noël Tanguy <>
Submitted on : Friday, June 5, 2015 - 11:31:00 AM
Last modification on : Wednesday, June 24, 2020 - 4:19:29 PM
Long-term archiving on: : Tuesday, April 25, 2017 - 3:22:16 AM
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NKautz_MOR_vfinale.pdf
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