SUMMARY OF RECENT RESULTS ON THE SCALAR RATIONAL INTERPOLATION PROBLEM.

A. C. Antoulas; B. D.O. Anderson

SUMMARY OF RECENT RESULTS ON THE SCALAR RATIONAL INTERPOLATION PROBLEM.

^*Corresponding author for this work

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Abstract

A summary of the results obtained by the author in a 1986 publication is presented. The main result asserts that the minimal degree of the interpolating function(s) is either rank L or N-rank L, according to whether certain explicitly stated conditions are satisfied or not. In the former case the minimal interpolating function is unique, while in the latter it is non-unique, having N-2rank L plus 1 degrees of freedom. A parametrization of all minimal and non-minimal interpolating functions follows. The problems of proper rational and polynomial interpolation are briefly examined.

Original language	English
Pages	799-801
Number of pages	3
Publication status	Published - 1986
Externally published	Yes

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title = "SUMMARY OF RECENT RESULTS ON THE SCALAR RATIONAL INTERPOLATION PROBLEM.",

abstract = "A summary of the results obtained by the author in a 1986 publication is presented. The main result asserts that the minimal degree of the interpolating function(s) is either rank L or N-rank L, according to whether certain explicitly stated conditions are satisfied or not. In the former case the minimal interpolating function is unique, while in the latter it is non-unique, having N-2rank L plus 1 degrees of freedom. A parametrization of all minimal and non-minimal interpolating functions follows. The problems of proper rational and polynomial interpolation are briefly examined.",

author = "Antoulas, {A. C.} and Anderson, {B. D.O.}",

year = "1986",

language = "English",

pages = "799--801",

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T1 - SUMMARY OF RECENT RESULTS ON THE SCALAR RATIONAL INTERPOLATION PROBLEM.

AU - Antoulas, A. C.

AU - Anderson, B. D.O.

PY - 1986

Y1 - 1986

N2 - A summary of the results obtained by the author in a 1986 publication is presented. The main result asserts that the minimal degree of the interpolating function(s) is either rank L or N-rank L, according to whether certain explicitly stated conditions are satisfied or not. In the former case the minimal interpolating function is unique, while in the latter it is non-unique, having N-2rank L plus 1 degrees of freedom. A parametrization of all minimal and non-minimal interpolating functions follows. The problems of proper rational and polynomial interpolation are briefly examined.

AB - A summary of the results obtained by the author in a 1986 publication is presented. The main result asserts that the minimal degree of the interpolating function(s) is either rank L or N-rank L, according to whether certain explicitly stated conditions are satisfied or not. In the former case the minimal interpolating function is unique, while in the latter it is non-unique, having N-2rank L plus 1 degrees of freedom. A parametrization of all minimal and non-minimal interpolating functions follows. The problems of proper rational and polynomial interpolation are briefly examined.

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M3 - Paper

AN - SCOPUS:0022950598

SP - 799

EP - 801

ER -

SUMMARY OF RECENT RESULTS ON THE SCALAR RATIONAL INTERPOLATION PROBLEM.

Abstract

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