Polynomial And Matrix Computations
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Polynomial And Matrix Computations
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Author : Dario Bini
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Polynomial And Matrix Computations written by Dario 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 2012-12-06 with Mathematics categories.
Our Subjects and Objectives. This book is about algebraic and symbolic computation and numerical computing (with matrices and polynomials). It greatly extends the study of these topics presented in the celebrated books of the seventies, [AHU] and [BM] (these topics have been under-represented in [CLR], which is a highly successful extension and updating of [AHU] otherwise). Compared to [AHU] and [BM] our volume adds extensive material on parallel com putations with general matrices and polynomials, on the bit-complexity of arithmetic computations (including some recent techniques of data compres sion and the study of numerical approximation properties of polynomial and matrix algorithms), and on computations with Toeplitz matrices and other dense structured matrices. The latter subject should attract people working in numerous areas of application (in particular, coding, signal processing, control, algebraic computing and partial differential equations). The au thors' teaching experience at the Graduate Center of the City University of New York and at the University of Pisa suggests that the book may serve as a text for advanced graduate students in mathematics and computer science who have some knowledge of algorithm design and wish to enter the exciting area of algebraic and numerical computing. The potential readership may also include algorithm and software designers and researchers specializing in the design and analysis of algorithms, computational complexity, alge braic and symbolic computing, and numerical computation.
Error Free Polynomial Matrix Computations
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Author : E.V. Krishnamurthy
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Error Free Polynomial Matrix Computations written by E.V. Krishnamurthy 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 2012-12-06 with Mathematics categories.
This book is written as an introduction to polynomial matrix computa tions. It is a companion volume to an earlier book on Methods and Applications of Error-Free Computation by R. T. Gregory and myself, published by Springer-Verlag, New York, 1984. This book is intended for seniors and graduate students in computer and system sciences, and mathematics, and for researchers in the fields of computer science, numerical analysis, systems theory, and computer algebra. Chapter I introduces the basic concepts of abstract algebra, including power series and polynomials. This chapter is essentially meant for bridging the gap between the abstract algebra and polynomial matrix computations. Chapter II is concerned with the evaluation and interpolation of polynomials. The use of these techniques for exact inversion of poly nomial matrices is explained in the light of currently available error-free computation methods. In Chapter III, the principles and practice of Fourier evaluation and interpolation are described. In particular, the application of error-free discrete Fourier transforms for polynomial matrix computations is consi dered.
Polynomial And Matrix Computations
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Author : Dario Bini
language : en
Publisher:
Release Date : 1994
Polynomial And Matrix Computations written by Dario Bini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Matrices categories.
Structured Matrices And Polynomials
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Author : Victor Pan
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-26
Structured Matrices And Polynomials written by Victor Pan 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 2001-06-26 with Computers categories.
This user-friendly, engaging textbook makes the material accessible to graduate students and new researchers who wish to study the rapidly exploding area of computations with structured matrices and polynomials. The book goes beyond research frontiers and, apart from very recent research articles, includes previously unpublished results.
Milestones In Matrix Computation
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Author : Raymond Chan
language : en
Publisher: OUP Oxford
Release Date : 2007-02-22
Milestones In Matrix Computation written by Raymond Chan and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-22 with Mathematics categories.
The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers is divided into five main areas: iterative methods for linear systems, solution of least squares problems, matrix factorizations and applications, orthogonal polynomials and quadrature, and eigenvalue problems. Commentaries for each area are provided by leading experts: Anne Greenbaum, Ake Bjorck, Nicholas Higham, Walter Gautschi, and G. W. (Pete) Stewart. Comments on each paper are also included by the original authors, providing the reader with historical information on how the paper came to be written and under what circumstances the collaboration was undertaken. Including a brief biography and facsimiles of the original papers, this text will be of great interest to students and researchers in numerical analysis and scientific computation.
Matrix Computations And Semiseparable Matrices
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Author : Raf Vandebril
language : en
Publisher: JHUP
Release Date : 2008-01-14
Matrix Computations And Semiseparable Matrices written by Raf Vandebril and has been published by JHUP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-14 with Mathematics categories.
"This volume is the first to catalog the mathematical and numerical properties of the semiseparable class of matrices." -- Publisher.
Matrix Computations
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Author : Gene H. Golub
language : en
Publisher: JHU Press
Release Date : 2013-02-15
Matrix Computations written by Gene H. Golub and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-15 with Mathematics categories.
A comprehensive treatment of numerical linear algebra from the standpoint of both theory and practice. The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this book to be an indispensible tool. This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on • fast transforms • parallel LU • discrete Poisson solvers • pseudospectra • structured linear equation problems • structured eigenvalue problems • large-scale SVD methods • polynomial eigenvalue problems Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software. The second most cited math book of 2012 according to MathSciNet, the book has placed in the top 10 for since 2005.
State Space Algorithms For Polynomial Matrix Computations
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Author : H. Kwakernaak
language : en
Publisher:
Release Date : 1993
State Space Algorithms For Polynomial Matrix Computations written by H. Kwakernaak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Proceedings Of The Acm Symposium On Theory Of Computing
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Author :
language : en
Publisher:
Release Date : 1999
Proceedings Of The Acm Symposium On Theory Of Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Formal languages categories.
Accurate And Efficient Computations With Structured Matrices
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Author : Plamen Stefanov Koev
language : en
Publisher:
Release Date : 2002
Accurate And Efficient Computations With Structured Matrices written by Plamen Stefanov Koev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.