Hermitean Matrices In Spaces With Indefinite Scalar Product

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Operator Theory in Inner Product Spaces

Author : Karl-Heinz Förster
Publisher : Springer Science & Business Media
ISBN 13 : 3764382694
Total Pages : 242 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Operator Theory in Inner Product Spaces by : Karl-Heinz Förster

Download or read book Operator Theory in Inner Product Spaces written by Karl-Heinz Förster and published by Springer Science & Business Media. This book was released on 2007-03-20 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions written by participants of the 4th Workshop on Operator Theory in Krein Spaces and Applications, held at the TU Berlin, Germany, December 17 to 19, 2004. The workshop covered topics from spectral, perturbation, and extension theory of linear operators and relations in inner product spaces.

Hermitean Matrices in Spaces with Indefinite Scalar Product

Author : Bogdan Mielnik
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (134 download)

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Book Synopsis Hermitean Matrices in Spaces with Indefinite Scalar Product by : Bogdan Mielnik

Download or read book Hermitean Matrices in Spaces with Indefinite Scalar Product written by Bogdan Mielnik and published by . This book was released on 1964* with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Indefinite Linear Algebra and Applications

Author : Israel Gohberg
Publisher : Springer Science & Business Media
ISBN 13 : 3764373504
Total Pages : 364 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Indefinite Linear Algebra and Applications by : Israel Gohberg

Download or read book Indefinite Linear Algebra and Applications written by Israel Gohberg and published by Springer Science & Business Media. This book was released on 2006-02-08 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent results in linear algebra with indefinite inner product. It includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications are based on linear algebra in spaces with indefinite inner product. The latter forms an independent branch of linear algebra called indefinite linear algebra. This new subject is presented following the principles of a standard linear algebra course.

Matrices and Indefinite Scalar Products

Author : Gohberg
Publisher : Birkhäuser
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Matrices and Indefinite Scalar Products by : Gohberg

Download or read book Matrices and Indefinite Scalar Products written by Gohberg and published by Birkhäuser. This book was released on 1983 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations

Author : Daniel Alpay
Publisher : Birkhäuser
ISBN 13 : 3319688499
Total Pages : 501 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations by : Daniel Alpay

Download or read book Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations written by Daniel Alpay and published by Birkhäuser. This book was released on 2018-01-30 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.

Operator Theory and Indefinite Inner Product Spaces

Author : Matthias Langer
Publisher : Springer Science & Business Media
ISBN 13 : 3764375167
Total Pages : 403 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Operator Theory and Indefinite Inner Product Spaces by : Matthias Langer

Download or read book Operator Theory and Indefinite Inner Product Spaces written by Matthias Langer and published by Springer Science & Business Media. This book was released on 2006-06-16 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces. The book contains fifteen refereed articles reporting on recent and original results in various areas of operator theory, all of them related with the work of Heinz Langer. The topics range from abstract spectral theory in Krein spaces to more concrete applications, such as boundary value problems, the study of orthogonal functions, or moment problems. The book closes with a historical survey paper.

On different concepts for the linearization of matrix polynomials and canonical decompositions of structured matrices with respect to indefinite sesquilinear forms

Download On different concepts for the linearization of matrix polynomials and canonical decompositions of structured matrices with respect to indefinite sesquilinear forms PDF Online Free

Author : Philip Saltenberger
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832549145
Total Pages : 191 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis On different concepts for the linearization of matrix polynomials and canonical decompositions of structured matrices with respect to indefinite sesquilinear forms by : Philip Saltenberger

Download or read book On different concepts for the linearization of matrix polynomials and canonical decompositions of structured matrices with respect to indefinite sesquilinear forms written by Philip Saltenberger and published by Logos Verlag Berlin GmbH. This book was released on 2019-05-30 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, a novel framework for the construction and analysis of strong linearizations for matrix polynomials is presented. Strong linearizations provide the standard means to transform polynomial eigenvalue problems into equivalent generalized eigenvalue problems while preserving the complete finite and infinite eigenstructure of the problem. After the transformation, the QZ algorithm or special methods appropriate for structured linearizations can be applied for finding the eigenvalues efficiently. The block Kronecker ansatz spaces proposed here establish an innovative and flexible approach for the construction of strong linearizations in the class of strong block minimal bases pencils. Moreover, they represent a new vector-space-setting for linearizations of matrix polynomials that additionally provides a common basis for various existing techniques on this task (such as Fiedler-linearizations). New insights on their relations, similarities and differences are revealed. The generalized eigenvalue problems obtained often allow for an efficient numerical solution. This is discussed with special attention to structured polynomial eigenvalue problems whose linearizations are structured as well. Structured generalized eigenvalue problems may also lead to equivalent structured (standard) eigenvalue problems. Thereby, the transformation produces matrices that can often be regarded as selfadjoint or skewadjoint with respect to some indefinite inner product. Based on this observation, normal matrices in indefinite inner product spaces and their spectral properties are studied and analyzed. Multiplicative and additive canonical decompositions respecting the matrix structure induced by the inner product are established.

Combinatorial Matrix Theory and Generalized Inverses of Matrices

Author : Ravindra B. Bapat
Publisher : Springer Science & Business Media
ISBN 13 : 8132210530
Total Pages : 283 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Combinatorial Matrix Theory and Generalized Inverses of Matrices by : Ravindra B. Bapat

Download or read book Combinatorial Matrix Theory and Generalized Inverses of Matrices written by Ravindra B. Bapat and published by Springer Science & Business Media. This book was released on 2013-02-11 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of eighteen articles in the area of `Combinatorial Matrix Theory' and `Generalized Inverses of Matrices'. Original research and expository articles presented in this publication are written by leading Mathematicians and Statisticians working in these areas. The articles contained herein are on the following general topics: `matrices in graph theory', `generalized inverses of matrices', `matrix methods in statistics' and `magic squares'. In the area of matrices and graphs, speci_c topics addressed in this volume include energy of graphs, q-analog, immanants of matrices and graph realization of product of adjacency matrices. Topics in the book from `Matrix Methods in Statistics' are, for example, the analysis of BLUE via eigenvalues of covariance matrix, copulas, error orthogonal model, and orthogonal projectors in the linear regression models. Moore-Penrose inverse of perturbed operators, reverse order law in the case of inde_nite inner product space, approximation numbers, condition numbers, idempotent matrices, semiring of nonnegative matrices, regular matrices over incline and partial order of matrices are the topics addressed under the area of theory of generalized inverses. In addition to the above traditional topics and a report on CMTGIM 2012 as an appendix, we have an article on old magic squares from India.

Indefinite-Quadratic Estimation and Control

Author : Babak Hassibi
Publisher : SIAM
ISBN 13 : 9781611970760
Total Pages : 572 pages
Book Rating : 4.9/5 (77 download)

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Book Synopsis Indefinite-Quadratic Estimation and Control by : Babak Hassibi

Download or read book Indefinite-Quadratic Estimation and Control written by Babak Hassibi and published by SIAM. This book was released on 1999-01-01 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a unified mathematical framework for a wide range of problems in estimation and control. The authors discuss the two most commonly used methodologies: the stochastic H² approach and the deterministic (worst-case) H [infinity] approach. Despite the fundamental differences in the philosophies of these two approaches, the authors have discovered that, if indefinite metric spaces are considered, they can be treated in the same way and are essentially the same. The benefits and consequences of this unification are pursued in detail, with discussions of how to generalize well-known results from H² theory to H [infinity] setting, as well as new results and insight, the development of new algorithms, and applications to adaptive signal processing. The authors deliberately have placed primary emphasis on estimation problems which enable one to solve all the relevant control problems in detail. They also deal mostly with discrete-time systems, since these are the ones most important in current applications.

A Singular Value Decomposition of Matrices in a Space with an Indefinite Scalar Product

Author : Seppo Hassi
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis A Singular Value Decomposition of Matrices in a Space with an Indefinite Scalar Product by : Seppo Hassi

Download or read book A Singular Value Decomposition of Matrices in a Space with an Indefinite Scalar Product written by Seppo Hassi and published by . This book was released on 1990 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric

Author : I. S. Iohvidov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112735994
Total Pages : 120 pages
Book Rating : 4.1/5 (127 download)

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Book Synopsis Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric by : I. S. Iohvidov

Download or read book Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric written by I. S. Iohvidov and published by Walter de Gruyter GmbH & Co KG. This book was released on 1983-01-14 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric".

Operator Theory, Analysis and the State Space Approach

Author : Harm Bart
Publisher : Springer
ISBN 13 : 3030042693
Total Pages : 464 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Operator Theory, Analysis and the State Space Approach by : Harm Bart

Download or read book Operator Theory, Analysis and the State Space Approach written by Harm Bart and published by Springer. This book was released on 2018-12-30 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lasers, Molecules, and Methods, Volume 73

Author : Joseph O. Hirschfelder
Publisher : John Wiley & Sons
ISBN 13 : 0470141832
Total Pages : 1042 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Lasers, Molecules, and Methods, Volume 73 by : Joseph O. Hirschfelder

Download or read book Lasers, Molecules, and Methods, Volume 73 written by Joseph O. Hirschfelder and published by John Wiley & Sons. This book was released on 2009-09-08 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a symposium on lasers, molecules, and methods held at the Los Alamos Center for Nonlinear Studies held in July 1986. Contributors present recent advances in theoretical and experimental research on a diversity of dynamical and optical phenomena resulting from the interactions of laser beams with molecules. They describe the predictive results of sophisticated mathematical models, the equipment involved in experiments, and reveal new insights into molecular structure and behavior.

Algebraic Riccati Equations

Author : Peter Lancaster
Publisher : Clarendon Press
ISBN 13 : 0191591254
Total Pages : 502 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Algebraic Riccati Equations by : Peter Lancaster

Download or read book Algebraic Riccati Equations written by Peter Lancaster and published by Clarendon Press. This book was released on 1995-09-07 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions. The second and third parts form the core of the book and concern the solutions of algebraic Riccati equations arising from continuous and discrete systems. The geometric theory and iterative analysis are both developed in detail. The last part of the book is an exciting collection of eight problem areas in which algebraic Riccati equations play a crucial role. These applications range from introductions to the classical linear quadratic regulator problems and the discrete Kalman filter to modern developments in HD*W*w control and total least squares methods.

A State Space Approach to Canonical Factorization with Applications

Author : Harm Bart
Publisher : Springer Science & Business Media
ISBN 13 : 376438753X
Total Pages : 419 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis A State Space Approach to Canonical Factorization with Applications by : Harm Bart

Download or read book A State Space Approach to Canonical Factorization with Applications written by Harm Bart and published by Springer Science & Business Media. This book was released on 2011-02-09 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Matrix Riccati Equations in Control and Systems Theory

Author : Hisham Abou-Kandil
Publisher : Birkhäuser
ISBN 13 : 3034880812
Total Pages : 584 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Matrix Riccati Equations in Control and Systems Theory by : Hisham Abou-Kandil

Download or read book Matrix Riccati Equations in Control and Systems Theory written by Hisham Abou-Kandil and published by Birkhäuser. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present the theory of symmetric (Hermitian) matrix Riccati equations and contribute to the development of the theory of non-symmetric Riccati equations as well as to certain classes of coupled and generalized Riccati equations occurring in differential games and stochastic control. The volume offers a complete treatment of generalized and coupled Riccati equations. It deals with differential, discrete-time, algebraic or periodic symmetric and non-symmetric equations, with special emphasis on those equations appearing in control and systems theory. Extensions to Riccati theory allow to tackle robust control problems in a unified approach. The book makes available classical and recent results to engineers and mathematicians alike. It is accessible to graduate students in mathematics, applied mathematics, control engineering, physics or economics. Researchers working in any of the fields where Riccati equations are used can find the main results with the proper mathematical background.

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Author : Ali Baklouti
Publisher : Springer Nature
ISBN 13 : 3030783464
Total Pages : 268 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Geometric and Harmonic Analysis on Homogeneous Spaces and Applications by : Ali Baklouti

Download or read book Geometric and Harmonic Analysis on Homogeneous Spaces and Applications written by Ali Baklouti and published by Springer Nature. This book was released on 2021-10-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics. All the authors participated in the 6th Tunisian-Japanese conference "Geometric and Harmonic Analysis on homogeneous spaces and Applications" held at Djerba Island in Tunisia during the period of December 16-19, 2019. The aim of this conference and the five preceding Tunisian-Japanese meetings was to keep up with the active development of representation theory interrelated with various other mathematical fields, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations, and mathematical physics. The present volume is dedicated to the memory of Takaaki Nomura, who organized the series of Tunisian-Japanese conferences with great effort and enthusiasm. The book is a valuable resource for researchers and students working in various areas of analysis, geometry, and algebra in connection with representation theory.