A SUMMARY OF RECENT RESULTS ON THE SCALAR RATIONAL INTERPOLATION PROBLEM.

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

A 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 on the scalar rational interpolation problem obtained by A. C. Antoulas and B. D. O. Anderson (1986) is presented. The authors consider the pairs of points (X//p Y//i), i epsilon N, where each entry belongs to some arbitrary but fixed infinite field. The fundamental problem to be investigated is to parametrize all rational functions y(x) equals n(x)/d(x), in particular the ones having minimal complexity, which interpolate the above points. If these points are distinct, i. e. x//i does not equal x//p i does not equal j, then y(x//i) equals y//i, i epsilon N.

Original language	English
Pages (from-to)	2187-2188
Number of pages	2
Journal	Proceedings of the IEEE Conference on Decision and Control
Publication status	Published - 1986

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

abstract = "A summary of the results on the scalar rational interpolation problem obtained by A. C. Antoulas and B. D. O. Anderson (1986) is presented. The authors consider the pairs of points (X//p Y//i), i epsilon N, where each entry belongs to some arbitrary but fixed infinite field. The fundamental problem to be investigated is to parametrize all rational functions y(x) equals n(x)/d(x), in particular the ones having minimal complexity, which interpolate the above points. If these points are distinct, i. e. x//i does not equal x//p i does not equal j, then y(x//i) equals y//i, i epsilon N.",

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

year = "1986",

language = "English",

pages = "2187--2188",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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TY - JOUR

T1 - A 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 on the scalar rational interpolation problem obtained by A. C. Antoulas and B. D. O. Anderson (1986) is presented. The authors consider the pairs of points (X//p Y//i), i epsilon N, where each entry belongs to some arbitrary but fixed infinite field. The fundamental problem to be investigated is to parametrize all rational functions y(x) equals n(x)/d(x), in particular the ones having minimal complexity, which interpolate the above points. If these points are distinct, i. e. x//i does not equal x//p i does not equal j, then y(x//i) equals y//i, i epsilon N.

AB - A summary of the results on the scalar rational interpolation problem obtained by A. C. Antoulas and B. D. O. Anderson (1986) is presented. The authors consider the pairs of points (X//p Y//i), i epsilon N, where each entry belongs to some arbitrary but fixed infinite field. The fundamental problem to be investigated is to parametrize all rational functions y(x) equals n(x)/d(x), in particular the ones having minimal complexity, which interpolate the above points. If these points are distinct, i. e. x//i does not equal x//p i does not equal j, then y(x//i) equals y//i, i epsilon N.

M3 - Conference article

AN - SCOPUS:0022983769

SN - 0191-2216

SP - 2187

EP - 2188

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

A SUMMARY OF RECENT RESULTS ON THE SCALAR RATIONAL INTERPOLATION PROBLEM.

Abstract

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