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Fast Algorithms For Structured Matrices With Arbitrary Rank Profile


Fast Algorithms For Structured Matrices With Arbitrary Rank Profile
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Fast Algorithms For Structured Matrices


Fast Algorithms For Structured Matrices
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Author : Vadim Olshevsky
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Fast Algorithms For Structured Matrices written by Vadim Olshevsky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.


One of the best known fast computational algorithms is the fast Fourier transform method. Its efficiency is based mainly on the special structure of the discrete Fourier transform matrix. Recently, many other algorithms of this type were discovered, and the theory of structured matrices emerged. This volume contains 22 survey and research papers devoted to a variety of theoretical and practical aspects of the design of fast algorithms for structured matrices and related issues. Included are several papers containing various affirmative and negative results in this direction. The theory of rational interpolation is one of the excellent sources providing intuition and methods to design fast algorithms. The volume contains several computational and theoretical papers on the topic. There are several papers on new applications of structured matrices, e.g., to the design of fast decoding algorithms, computing state-space realizations, relations to Lie algebras, unconstrained optimization, solving matrix equations, etc. The book is suitable for mathematicians, engineers, and numerical analysts who design, study, and use fast computational algorithms based on the theory of structured matrices.



Fast Reliable Algorithms For Matrices With Structure


Fast Reliable Algorithms For Matrices With Structure
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Author : T. Kailath
language : en
Publisher: SIAM
Release Date : 1999-01-01

Fast Reliable Algorithms For Matrices With Structure written by T. Kailath and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Computers categories.


This book deals with the combined issues of speed and numerical reliability in algorithm development.



Numerical Methods For Structured Matrices And Applications


Numerical Methods For Structured Matrices And Applications
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Author : Dario Andrea Bini
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-09

Numerical Methods For Structured Matrices And Applications written by Dario Andrea Bini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-09 with Mathematics categories.


This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to topics such as fast algorithms, in which the late Georg Heinig made outstanding achievements.



Fast Algorithms For Structured Matrices With Arbitrary Rank Profile


Fast Algorithms For Structured Matrices With Arbitrary Rank Profile
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Author : Debajyoti Pal
language : en
Publisher:
Release Date : 1990

Fast Algorithms For Structured Matrices With Arbitrary Rank Profile written by Debajyoti Pal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.


Triangular factorization, solution to linear equations, inversion, computation of rank profile and inertia (in the Hermitian case) etc. of general n x n matrices require O(n cubed) operations. For certain structured matrices including Toeplitz and Hankel matrices the computational complexity is known to be O(n squared) or better. These structured matrices often arise in a wide variety of areas including Signal processing. Systems theory and Communications. Fast (i.e. O(n squared)) algorithms for these structured matrices have been actively studied for over twenty five years. However almost all the authors have assumed that the underlying matrices are strongly regular i.e. every principal submatrix is nonsingular. Although some fast algorithms have recently been developed for certain problems involving some of these structured matrices which may have one or more zero minors, several other problems is lacking. In this dissertation, we obtain several new results through a unified approach to the problems mentioned earlier.



Iterative Methods For Toeplitz Systems


Iterative Methods For Toeplitz Systems
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Author : Michael K. Ng
language : en
Publisher: Numerical Mathematics and Scie
Release Date : 2004

Iterative Methods For Toeplitz Systems written by Michael K. Ng and has been published by Numerical Mathematics and Scie this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.


Toeplitz and Toeplitz-related systems arise in a variety of applications in mathematics and engineering, especially in signal and image processing. This book deals primarily with iterative methods for solving Toeplitz and Toeplitz-related linear systems, discussing both the algorithms and their convergence theories. A basic knowledge of real analysis, elementary numerical analysis and linear algebra is assumed.The first part of the book (chapters one and two) gives a brief review of some terms and results in linear algebra and the conjugate gradient method, which are important topics for handling the mathematics later on in the book. The second part of the book (chapters three to seven) presents the theory of using iterative methods for solving Toeplitz and Toeplitz-related systems. The third part of the book (chapters eight to twelve) presents recent results from applying the use of iterative methods in different fields of applications, such as partial differential equations, signal and image processing, integral equations and queuing networks. These chapters provide research and application-oriented readers with a thorough understanding of using iterative methods, enabling them not only to apply these methods to the problems discussed but also to derive and analyse new methods for other types of problems and applications.



Research In Progress


Research In Progress
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Author :
language : en
Publisher:
Release Date : 1992

Research In Progress written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Military research categories.




Research In Progress


Research In Progress
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Author : United States. Army Research Office
language : en
Publisher:
Release Date : 1992

Research In Progress written by United States. Army Research Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Military research categories.


Vols. for 1977- consist of two parts: Chemistry, biological sciences, engineering sciences, metallurgy and materials science (issued in the spring); and Physics, electronics, mathematics, geosciences (issued in the fall).



Siam Journal On Matrix Analysis And Applications


Siam Journal On Matrix Analysis And Applications
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Author :
language : en
Publisher:
Release Date : 1996

Siam Journal On Matrix Analysis And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematical analysis categories.


Contains research articles on linear algebra with emphasis on applications and numerical procedures. These applications include such areas as Markov chains, networks, signal processing, systems and control theory, mathematical programming, economic and biological modeling, and statistics and operations research.



The Extended Field Of Operator Theory


The Extended Field Of Operator Theory
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Author : Michael A. Dritschel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25

The Extended Field Of Operator Theory written by Michael A. Dritschel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-25 with Mathematics categories.


This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.



Mathematical System Theory


Mathematical System Theory
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Author : Athanasios C. Antoulas
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Mathematical System Theory written by Athanasios C. Antoulas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.


Over the past three decades R.E. Kalman has been one of the most influential personalities in system and control theory. His ideas have been instrumental in a variety of areas. This is a Festschrift honoring his 60th birthday. It contains contributions from leading researchers in the field giving an account of the profound influence of his ideas in a number of areas of active research in system and control theory. For example, since their introduction by Kalman in the early 60's, the concepts of controllability and observability of dynamical systems with inputs, have been the corner stone of the great majority of investigations in the field.