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AuthorConstantinescu, Tiberiu. author
TitleSchur Parameters, Factorization and Dilation Problems [electronic resource] / by Tiberiu Constantinescu
ImprintBasel : Birkhรคuser Basel, 1996
Connect tohttp://dx.doi.org/10.1007/978-3-0348-9108-0
Descript X, 254 p. online resource

CONTENT

1 Schur Parameters and Positive Block Matrices -- 1.1 Preliminaries -- 1.2 Renorming Hilbert Spaces and Elementary Rotations -- 1.3 Kolmogorov Decompositions. I -- 1.4 Row and Column Contractions -- 1.5 The Structure of Positive Definite Kernels -- 1.6 Kolmogorov Decompositions. II -- 1.7 Notes -- 2 Models for Triangular Contractions -- 2.1 Preliminaries -- 2.2 The Structure of Triangular Contractions -- 2.3 Realization of Triangular Contractions -- 2.4 Unitary Couplings and Operator Ranges -- 2.5 Modeling Families of Contractions -- 2.6 Notes -- 3 Moment Problems and Interpolation -- 3.1 A Survey on Completion Problems -- 3.2 Extensions of Partial Isometries -- 3.3 Kreinโ{128}{153}s Formula -- 3.4 Moment Problems -- 3.5 The Commutant Lifting Method -- 3.6 Notes -- 4 Displacement Structures -- 4.1 Structured Matrices -- 4.2 Generalized Schur Algorithm -- 4.3 Discrete Transmission-Line Models -- 4.4 Displacement Structure and Completion Problems -- 4.5 Other Applications -- 4.6 Notes -- 5 Factorization of Positive Definite Kernels -- 5.1 Spectral Factors -- 5.2 Examples -- 5.3 Schurโ{128}{153}s Algorithm, Szegรถโ{128}{153}s Theory and Spectral Factors -- 5.4 Maximum Entropy -- 5.5 Notes -- 6 Nonstationary Processes -- 6.1 Modeling Nonstationary Processes -- 6.2 Kolmogorov-Wiener Prediction -- 6.3 Other Prediction Problems -- 6.4 Szegรถโ{128}{153}s Limit Theorems -- 6.5 Notes -- 7 Graphs and Completion Problems -- 7.1 Preliminaries -- 7.2 Completing Positive Partial Matrices. I -- 7.3 Completing Positive Partial Matrices. II -- 7.4 Completing Contractive Partial Matrices -- 7.5 Notes -- 8 Determinantal Formulae and Optimization -- 8.1 Determinantal Formulae -- 8.2 Maximum Determinant Formulae -- 8.3 Maximum Determinant for Nonchordal Graphs -- 8.4 Inheritance Principles -- 8.5 Notes -- References


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