Factorization Of Matrix And Operator Functions The State Space Method
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Factorization of Matrix and Operator Functions The State Space Method
Author | : Harm Bart,Israel Gohberg,Marinus A. Kaashoek,André C.M. Ran |
Publsiher | : Springer Science & Business Media |
Total Pages | : 409 |
Release | : 2007-12-20 |
Genre | : Mathematics |
ISBN | : 9783764382681 |
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This book delineates the various types of factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, and the theory of job scheduling in operations research. The book presents a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions.
Factorization of Matrix and Operator Functions The State Space Method
Author | : Harm Bart,Israel Gohberg,Marinus Kaashoek,André C.M. Ran |
Publsiher | : Birkhäuser |
Total Pages | : 412 |
Release | : 2009-09-03 |
Genre | : Mathematics |
ISBN | : 376439191X |
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This book delineates the various types of factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, and the theory of job scheduling in operations research. The book presents a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions.
A State Space Approach to Canonical Factorization with Applications
Author | : Harm Bart,Israel Gohberg,Marinus A. Kaashoek,André C.M. Ran |
Publsiher | : Springer Science & Business Media |
Total Pages | : 419 |
Release | : 2011-02-09 |
Genre | : Mathematics |
ISBN | : 9783764387532 |
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The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations. A large part the book deals with rational matrix functions only.
The State Space Method
Author | : Daniel Alpay,Israel Gohberg |
Publsiher | : Springer Science & Business Media |
Total Pages | : 292 |
Release | : 2006 |
Genre | : Language Arts & Disciplines |
ISBN | : 3764373709 |
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The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations. The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists.
Operator Theory Analysis and the State Space Approach
Author | : Harm Bart,Sanne ter Horst,André C.M. Ran,Hugo J. Woerdeman |
Publsiher | : Springer |
Total Pages | : 464 |
Release | : 2018-12-30 |
Genre | : Mathematics |
ISBN | : 9783030042691 |
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This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski.
Israel Gohberg and Friends
Author | : Harm Bart,Thomas Hempfling,Marinus A. Kaashoek |
Publsiher | : Springer Science & Business Media |
Total Pages | : 312 |
Release | : 2008-09-25 |
Genre | : Mathematics |
ISBN | : 9783764387341 |
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Mathematicians do not work in isolation. They stand in a long and time honored tradition. They write papers and (sometimes) books, they read the publications of fellow workers in the ?eld, and they meet other mathematicians at conferences all over the world. In this way, in contact with colleagues far away and nearby, from the past (via their writings) and from the present, scienti?c results are obtained whicharerecognizedasvalid.Andthat–remarkablyenough–regardlessofethnic background, political inclination or religion. In this process, some distinguished individuals play a special and striking role. They assume a position of leadership. They guide the people working with them through uncharted territory, thereby making a lasting imprint on the ?eld. So- thing which can only be accomplished through a combination of rare talents: - usually broad knowledge, unfailing intuition and a certain kind of charisma that binds people together. AllofthisispresentinIsraelGohberg,themantowhomthisbookisdedicated,on theoccasionof his 80thbirthday.This comes to the foregroundunmistakably from the contributions from those who worked with him or whose life was a?ected by him. Gohberg’sexceptionalqualitiesarealsoapparentfromthe articleswritten by himself, sometimes jointly with others, that are reproduced in this book. Among these are stories of his life, some dealing with mathematical aspects, others of a more general nature. Also included are reminiscences paying tribute to a close colleaguewho isnotamongusanymore,speechesorreviewshighlightingthework and personality of a friend or esteemed colleague, and responses to the laudatio’s connected with the several honorary degrees that were bestowed upon him.
Factorization and Integrable Systems
Author | : Israel Gohberg,Nenad Manojlovic,Antonio, F. dos Santos |
Publsiher | : Birkhäuser |
Total Pages | : 227 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034880039 |
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This volume comprises the specially prepared lecture notes of a a Summer School on "Factorization and Integrable Systems" held in September 2000 at the University of Algarve in Portugal. The main aim of the school was to review the modern factorization theory and its application to classical and quantum integrable systems. The program consisted of a number of short courses given by leading experts in the field.
Operator and Matrix Theory Function Spaces and Applications
Author | : Marek Ptak |
Publsiher | : Springer Nature |
Total Pages | : 423 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9783031506130 |
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