New matrix method for multipoint Padé approximation of transfer functions

T. Nigel Lucas

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A new way of formulating a multipoint Padé approximant of a linear system transfer function is given. It is seen to be very flexible and computationally efficient. The expansion points can be a mixture of real, complex, purely imaginary and multiple points with no complex arithmetic required. The underlying idea of the method is to convert the rational approximation problem into one of polynomial approximation. This results in simple matrix multiplications and the solution of a set of linear equations to derive the reduced model. Examples are given to demonstrate the application of the technique.
Original languageEnglish
Pages (from-to)809-818
Number of pages10
JournalInternational Journal of Systems Science
Volume24
Issue number5
DOIs
Publication statusPublished - 1993

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Polynomial approximation
Matrix Method
Linear equations
Transfer Function
Transfer functions
Linear systems
Matrix multiplication
Reduced Model
Rational Approximation
Approximation Problem
Polynomial Approximation
Approximation
Convert
Linear equation
Linear Systems
Demonstrate

Cite this

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abstract = "A new way of formulating a multipoint Pad{\'e} approximant of a linear system transfer function is given. It is seen to be very flexible and computationally efficient. The expansion points can be a mixture of real, complex, purely imaginary and multiple points with no complex arithmetic required. The underlying idea of the method is to convert the rational approximation problem into one of polynomial approximation. This results in simple matrix multiplications and the solution of a set of linear equations to derive the reduced model. Examples are given to demonstrate the application of the technique.",
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New matrix method for multipoint Padé approximation of transfer functions. / Lucas, T. Nigel.

In: International Journal of Systems Science, Vol. 24, No. 5, 1993, p. 809-818.

Research output: Contribution to journalArticle

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AB - A new way of formulating a multipoint Padé approximant of a linear system transfer function is given. It is seen to be very flexible and computationally efficient. The expansion points can be a mixture of real, complex, purely imaginary and multiple points with no complex arithmetic required. The underlying idea of the method is to convert the rational approximation problem into one of polynomial approximation. This results in simple matrix multiplications and the solution of a set of linear equations to derive the reduced model. Examples are given to demonstrate the application of the technique.

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