Partially Specified Matrices and Operators

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Introduction
Main problems and motivation
Elementary operations on blocks
Full length blocks
The eigenvalue completion problem for full length blocks
Full width blocks
Principal blocks
General blocks
Off-diagonal blocks
Connections with linear systems
Applications to matrix polynomials
Applications to rational matrix functions
Infinite dimensional operator blocks
Factorization of operator polynomials
Factorization of analytic operator functions
Eigenvalue completion problems for triangular matrices
App. A.1 Root functions of regular analytic matrix functions
App. A.2 Right Jordan pairs of regular analytic matrix functions
App. A.3 Left Jordan pairs
App. A.4 Jordan pairs and Laurent principal parts
App. A.5 Global spectral data for regular analytic matrix functions
Bibliography
List of notations
Index
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