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Interpolation of Rational Matrix Functions

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Cover of 'Interpolation of Rational Matrix Functions'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Null Structure for Analytic Matrix Functions
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    Chapter 3 Null Structure and Interpolation Problems for Matrix Polynomials
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    Chapter 4 Local Data for Meromorphic Matrix Functions
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    Chapter 5 Rational Matrix Functions
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    Chapter 6 Rational Matrix Functions with Null and Pole Structure at Infinity
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    Chapter 7 Rational Matrix Functions with J -Unitary Values on the Imaginary Line
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    Chapter 8 Rational Matrix Functions with J -Unitary Values on the Unit Circle
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    Chapter 9 Interpolation Problems with Null and Pole Pairs
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    Chapter 10 Interpolation Problems for Rational Matrix Functions Based on Divisibility
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    Chapter 11 Polynomial Interpolation Problems Based on Divisibility
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    Chapter 12 Coprime Representation and an Interpolation Problem
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    Chapter 13 Null-Pole Subspaces: Elementary Properties
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    Chapter 14 Null-Pole Subspace for Matrix Functions with J -Unitary Values on the Imaginary Axis or Unit Circle
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    Chapter 15 Subspace Interpolation Problems
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    Chapter 16 Subspace Interpolation with Data at Infinity
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    Chapter 17 Interpolation Problems for Matrix Polynomials and Rational Matrix-Functions
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    Chapter 18 Partial Realization as an Interpolation Problem
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    Chapter 19 Matrix Nevanlinna-Pick Interpolation and Generalizations
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    Chapter 20 Matrix Nevanlinna-Pick-Takagi Interpolation
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    Chapter 21 Nehari Interpolation Problem
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    Chapter 22 Boundary Nevanlinna-Pick Interpolation
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    Chapter 23 Caratheodory-Toeplitz Interpolation
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    Chapter 24 Sensitivity Minimization
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    Chapter 25 Model Reduction
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    Chapter 26 Robust Stabilization
Attention for Chapter 12: Coprime Representation and an Interpolation Problem
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Chapter title
Coprime Representation and an Interpolation Problem
Chapter number 12
Book title
Interpolation of Rational Matrix Functions
Published by
Birkhäuser, Basel, January 1990
DOI 10.1007/978-3-0348-7709-1_12
Book ISBNs
978-3-03-487711-4, 978-3-03-487709-1
Authors

Joseph A. Ball, Israel Gohberg, Leiba Rodman