Book Description
Here is an overview of modern computational stabilization methods for linear inversion, with applications to a variety of problems in audio processing, medical imaging, seismology, astronomy, and other areas. Rank-deficient problems involve matrices that are exactly or nearly rank deficient. Such problems often arise in connection with noise suppression and other problems where the goal is to suppress unwanted disturbances of given measurements. Discrete ill-posed problems arise in connection with the numerical treatment of inverse problems, where one typically wants to compute information about interior properties using exterior measurements. Examples of inverse problems are image restoration and tomography, where one needs to improve blurred images or reconstruct pictures from raw data. This book describes new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill-posed problems. The emphasis is on insight into the stabilizing properties of the algorithms and the efficiency and reliability of the computations.
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Direct Methods for Sparse Matrices (Monographs on Numerical Analysis)
I. S. Duff ,
A. M. Erisman , and
J. K. Reid
Manufacturer: Oxford University Press, USA
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Iterative Methods for Sparse Linear Systems, Second Edition
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A Multigrid Tutorial
ASIN: 0198534213 |
Book Description
The subject of sparse matrices has its roots in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis. Mathematical models in all these areas give rise to very large systems of linear equations which could not be solved were it not for the fact that the matrices contain relatively few non-zero entries. Only comparatively recently, in the last fifteen years or so, has it become apparent that the equations can be solved even when the pattern is irregular, and it is primarily the solution of such problems that is considered in this book. The subject is intensely practical and this book is written with practicalities ever in mind. Whenever two methods are applicable, their rival merits are considered, and conclusions are based on practical experience where theoretical comparison is not possible. Non-numeric computing techniques have been included, as well as frequent illustrations, in an attempt to bridge the usually wide gap between the printed page and the working computer code. Despite this practical bias, it is recognized that many aspects of the subject are of interest in their own right, and the book aims to be suitable also for a student course, probably at M.Sc. level. Exercises have been included to illustrate and strengthen understanding of the material, as well as to extend it. Efficient use of sparsity is a key to solving large problems in many fields. This book will supply both insight and answers for those attempting to solve these problems.
Customer Reviews:
excellent book.......2004-01-31
This book covers direct sparse matrix techniques developed
up to 1986. It's slightly outdated, since this field
experienced great changes -- especially in the early and
mid 90s a lot of new methods were developed.
However, it's a still a pretty book for beginners who want
to know this field. It's pitty that Amazon does not have it.
The good new is that you can buy the book directly from the publisher at www.us.oup.com/us/ for $55.
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Finite element method: basic concepts and applications (The Intext series in civil engineering)
Oktay Ural
Manufacturer: Intext Educational Publishers
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ASIN: 0700224289 |
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Matrices: Methods and Applications (Oxford Applied Mathematics and Computing Science Series)
Stephen Barnett
Manufacturer: Oxford University Press, USA
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ASIN: 0198596804 |
Book Description
Techniques of matrix theory find wide application throughout engineering and the physical, life, and social sciences. Consequently, matrix methods comprise an important component in any 'tool kit' of applied mathematics. This wide-ranging textbook provides a clearly written and up-to-date account of these methods, suitable for both undergraduates and more advanced students. The aim is to provide a down-to-earth approach with results illustrated by many examples drawn from the areas of application. The range of topics covered is large: from basic matrix algebra to advanced concepts such as generalized inverses and Hadamard matrices, and applications to error-correcting codes, control theory, and linear programming. In addition, the book contains numerous exercises, together with answers, making it ideal for students in any field where matrices are used.
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- When, oh when can I purchase this!!!!!
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Max-Plus Methods for Nonlinear Control and Estimation (Systems & Control: Foundations & Applications)
William M. McEneaney
Manufacturer: Birkhäuser Boston
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ASIN: 0817635343 |
Book Description
The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality.
Well-known dynamic programming arguments show there is a direct relationship between the solution of a control problem and the solution of a corresponding Hamilton–Jacobi–Bellman (HJB) partial differential equation (PDE). The max-plus-based methods examined in this monograph belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated HJB PDEs; they are not equivalent to either of the more commonly used finite element or characteristic approaches. The potential advantages of the max-plus-based approaches lie in the fact that solution operators for nonlinear HJB problems are linear over the max-plus algebra, and this linearity is exploited in the construction of algorithms.
The book will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods. Researchers and practitioners tangentially interested in this area will also find a readable, concise discussion of the subject through a careful selection of specific chapters and sections. Basic knowledge of control theory for systems with dynamics governed by differential equations is required.
Customer Reviews:
When, oh when can I purchase this!!!!!.......2004-09-25
Cannot wait. This author explcates the seemingly inexplicable with ease and elegance. Have been waiting ten years since his latest endeavor and know I shall not be disappointed.
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Algorithms for Large Scale Linear Algebraic Systems:: Applications in Science and Engineering (NATO Science Series C:)
Manufacturer: Springer
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ASIN: 079234975X |
Book Description
An overview of the most successful algorithms and techniques for solving large, sparse systems of equations and some algorithms and strategies for solving optimization problems. The most important topics dealt with concern iterative methods, especially Krylov methods, ordering techniques, and some iterative optimization tools.
The book is a compendium of theoretical and numerical methods for solving large algebraic systems, special emphasis being placed on convergence and numerical behaviour as affected by rounding errors, accuracy in computing solutions for ill-conditioned matrices, preconditioning effectiveness, ordering procedures, stability factors, hybrid procedures and stopping criteria. Recent advances in numerical matrix calculations are presented, especially methods to accelerate the solution of symmetric and unsymmetric linear systems. Convergence analysis of the multi-grid method using a posteriori error estimation in second order elliptic equations are presented. Some inverse problems are also included. Evolution based software is described, such as genetic algorithms and evolution strategies, relations and class hierarchising to improve the exploration of large search spaces and finding near-global optima. Recent developments in messy genetic algorithms are also described.
The tutorial nature of the book makes it suitable for mathematicians, computer scientists, engineers and postgraduates.
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Arpack User's Guide: Solution of Large-Scale Eigenvalue Problems With Implicityly Restorted Arnoldi Methods (Software, Environments, Tools)
Richard B. Lehoucq ,
Danny C. Sorensen , and
C. Yang
Manufacturer: Soc for Industrial & Applied Math
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ASIN: 0898714079 |
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Asymptotic Combinatorics with Applications to Mathematical Physics: A European Mathematical Summer School held at the Euler Institute, St. Petersburg, ... 9-20, 2001 (Lecture Notes in Mathematics)
Manufacturer: Springer
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ASIN: 3540403124 |
Book Description
At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.
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Basic Matrix Methods: Including Applications in Approximation and Data Fitting (BASIC Series)
J. C. Mason
Manufacturer: Butterworth-Heinemann
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ASIN: 0408013907 |
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- Good reference for deciding which method fits your problem
|
Computational Methods for General Sparse Matrices (Mathematics and Its Applications)
Z Zlatev
Manufacturer: Springer
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Binding: Hardcover
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ASIN: 079231154X |
Customer Reviews:
Good reference for deciding which method fits your problem.......2000-07-13
The book gives good insights about choosing particular methods. The author shows many tables comparing different strategies and matrices. The reader doesn't need to have background on sparse matrices. It is really a `cookbook' on sparse matrix solutions.
Customer Reviews:
Amazingly well-written and insightful.......2001-07-13
R.K.Narayan's books offer a wonderfuly detailed and intricate view of the South Indian world,and The Vendor Of Sweets fits into this mould to a T.In this novel,the life of Jagan, the vendor of sweets, and the trials and tribulations of his life are wonderfully captured. What is refreshing, however, is the description of the South Indian way of life that is provided by Narayan--the way Jagan runs his business, the views,opinions he possesses,the fears he entertains.Narayan also vividly portrays the confusions and fears that a person from such a conventional milieu would face when thrown into unconventional situations-- such as having a foreigner for a daughter-in-law, for example. Being a South Indian myself, I can truly appreciate the imagery that his writing evokes, and can also vouchsafe for the fact that it is no easy task to put across to readers whatever he has managed to convey in his books.On the whole,to summarize this review in one sentence:read the book;you will not be disappointed.
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The Vendor of Sweets
Manufacturer: Indian Thought Publications
ProductGroup: Book
Binding: Paperback
ASIN: B000GA941A |
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Vendor of Sweets
R K Narayan
Manufacturer: VIKING PRESS
ProductGroup: Book
Binding: Hardcover
ASIN: B000SHWN78 |
Book Description
This digital document is an article from Food Processing, published by Putman Media, Inc. on June 1, 1999. The length of the article is 1772 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.
From the supplier: Enterprise resource planning (ERP) system vendors foresee increased business from mid-market food companies in the 21st century. Marcam, for instance, believes that 80% to 90% of its business to originate from the mid-market while J.D. Edwards expects the mid-market ERP sector to grow by 20% to 30% annually. Mid-market companies' interest in ERP is attributed to the year 2000 problem and efforts to improve quality. The demands of mid-market companies from ERP vendors are discussed.
Citation Details
Title: ERP comes to the mid-market: mid-level players look for fast results, scaleability and single-vendor solutions.(includes related article on Beacon Sweets & Chocolates' ERP system)(enterprise resource planning)
Author: Jack Neff
Publication:
Food Processing (Magazine/Journal)
Date: June 1, 1999
Publisher: Putman Media, Inc.
Volume: 60
Issue: 6
Page: 116(3)
Distributed by Thomson Gale
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