Frederik van Schagen's Books

Partially Specified Matrices and Operators: Classification, Completion, Applications

By: Israel Gohberg,Marinus Kaashoek,Frederik Van Schagen

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Partially Specified Matrices and Operators: Classification, Completion, Applications

By: Israel Gohberg,Marinus Kaashoek,Frederik Van Schagen

This book is devoted to a new direction in linear algebra and operator theory that deals with the invariants of partially specified matrices and operators, and with the spectral analysis of their completions. The theory developed centers around two major problems concerning matrices of which part of the entries are given and the others are unspecified. The first is a classification problem and aims at a simplification of the given part with the help of admissible similarities. The results here may be seen as a far reaching generalization of the Jordan canonical form. The second problem is called the eigenvalue completion problem and asks to describe all possible eigenvalues and their multiplicities of the matrices which one obtains by filling in the unspecified entries. Both problems are also considered in an infinite dimensional operator framework. A large part of the book deals with applications to matrix theory and analysis, namely to stabilization problems in mathematical system theory, to problems of Wiener-Hopf factorization and interpolation for matrix polynomials and rational matrix functions, to the Kronecker structure theory of linear pencils, and to non everywhere defined operators. The eigenvalue completion problem has a natural associated inverse, which appears as a restriction problem. The analysis of these two problems is often simpler when a solution of the corresponding classification problem is available.

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Page Count

337

Publisher

Birkhäuser

Published Date

ISBN 10

3034891008

ISBN 13

9783034891004

Introduction to Mathematical Systems Theory

Discrete Time Linear Systems, Control and Identification

By: Christiaan Heij,André C.M. Ran,Frederik van Schagen

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Introduction to Mathematical Systems Theory

Discrete Time Linear Systems, Control and Identification

By: Christiaan Heij,André C.M. Ran,Frederik van Schagen

This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation. This second edition has been updated and slightly expanded. In addition, supplementary material containing the exercises is now available on the Springer Link's book website.

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Page Count

195

Publisher

Springer Nature

Published Date

ISBN 10

3030596540

ISBN 13

9783030596545

Partially Specified Matrices and Operators: Classification, Completion, Applications

By: Israel Gohberg,Marinus Kaashoek,Frederik Van Schagen

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Partially Specified Matrices and Operators: Classification, Completion, Applications

By: Israel Gohberg,Marinus Kaashoek,Frederik Van Schagen

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Solve jigsaw puzzle

Age

Page Count

337

Publisher

Birkhäuser

Published Date

ISBN 10

3034891008

ISBN 13

9783034891004

Introduction to Mathematical Systems Theory

Discrete Time Linear Systems, Control and Identification

By: Christiaan Heij,André C.M. Ran,Frederik van Schagen

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Introduction to Mathematical Systems Theory

Discrete Time Linear Systems, Control and Identification

By: Christiaan Heij,André C.M. Ran,Frederik van Schagen

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N/A

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Solve jigsaw puzzle

Age

Page Count

195

Publisher

Springer Nature

Published Date

ISBN 10

3030596540

ISBN 13

9783030596545

Book's by Frederik van Schagen

Partially Specified Matrices and Operators: Classification, Completion, Applications

Partially Specified Matrices and Operators: Classification, Completion, Applications

Introduction to Mathematical Systems Theory

Introduction to Mathematical Systems Theory

Partially Specified Matrices and Operators: Classification, Completion, Applications

Partially Specified Matrices and Operators: Classification, Completion, Applications

Introduction to Mathematical Systems Theory

Introduction to Mathematical Systems Theory

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