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Author : Wilfred Kaplan
Publisher :
ISBN 13 :
Total Pages : 602 pages
Book Rating : 4.3/5 (91 download)
Download or read book Operational Methods for Linear Systems written by Wilfred Kaplan and published by . This book was released on 1962 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward Lee Hill
Publisher :
ISBN 13 :
Total Pages : 77 pages
Book Rating : 4.:/5 (623 download)
Download or read book Operational Methods for Linear Systems written by Edward Lee Hill and published by . This book was released on 1968 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yousef Saad
Publisher : SIAM
ISBN 13 : 0898715342
Total Pages : 537 pages
Book Rating : 4.8/5 (987 download)
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.
Author : B. M. Brown
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (11 download)
Download or read book Application of Operational Methods to the Analysis of General Linear Systems written by B. M. Brown and published by . This book was released on 1956 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Barrett
Publisher : SIAM
ISBN 13 : 0898713285
Total Pages : 130 pages
Book Rating : 4.8/5 (987 download)
Download or read book Templates for the Solution of Linear Systems written by Richard Barrett and published by SIAM. This book was released on 1994-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Yousef Saad
Publisher : SIAM
ISBN 13 : 9780898718003
Total Pages : 546 pages
Book Rating : 4.7/5 (18 download)
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-01-01 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first edition of this book was published in 1996, tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. The size and complexity of the new generation of linear and nonlinear systems arising in typical applications has grown. Solving the three-dimensional models of these problems using direct solvers is no longer effective. At the same time, parallel computing has penetrated these application areas as it became less expensive and standardized. Iterative methods are easier than direct solvers to implement on parallel computers but require approaches and solution algorithms that are different from classical methods. Iterative Methods for Sparse Linear Systems, Second Edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. These equations can number in the millions and are sparse in the sense that each involves only a small number of unknowns. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.
Author : Timothy A. Davis
Publisher : SIAM
ISBN 13 : 0898716136
Total Pages : 228 pages
Book Rating : 4.8/5 (987 download)
Download or read book Direct Methods for Sparse Linear Systems written by Timothy A. Davis and published by SIAM. This book was released on 2006-09-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sparse backslash book. Everything you wanted to know but never dared to ask about modern direct linear solvers. Chen Greif, Assistant Professor, Department of Computer Science, University of British Columbia.Overall, the book is magnificent. It fills a long-felt need for an accessible textbook on modern sparse direct methods. Its choice of scope is excellent John Gilbert, Professor, Department of Computer Science, University of California, Santa Barbara.Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.With a strong emphasis on MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations.Audience This invaluable book is essential to computational scientists and software developers who want to understand the theory and algorithms behind modern techniques used to solve large sparse linear systems. The book also serves as an excellent practical resource for students with an interest in combinatorial scientific computing.Preface; Chapter 1: Introduction; Chapter 2: Basic algorithms; Chapter 3: Solving triangular systems; Chapter 4: Cholesky factorization; Chapter 5: Orthogonal methods; Chapter 6: LU factorization; Chapter 7: Fill-reducing orderings; Chapter 8: Solving sparse linear systems; Chapter 9: CSparse; Chapter 10: Sparse matrices in MATLAB; Appendix: Basics of the C programming language; Bibliography; Index.
Author : Allan M. Krall
Publisher : CRC Press
ISBN 13 : 9780677014203
Total Pages : 180 pages
Book Rating : 4.0/5 (142 download)
Download or read book Stability Techniques for Continuous Linear Systems written by Allan M. Krall and published by CRC Press. This book was released on 1967 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zbigniew Ignacy Woźnicki
Publisher :
ISBN 13 : 9780971576667
Total Pages : 554 pages
Book Rating : 4.5/5 (766 download)
Download or read book Solving Linear Systems written by Zbigniew Ignacy Woźnicki and published by . This book was released on 2009 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lotfi Zadeh
Publisher : Courier Dover Publications
ISBN 13 : 0486466639
Total Pages : 660 pages
Book Rating : 4.4/5 (864 download)
Download or read book Linear System Theory written by Lotfi Zadeh and published by Courier Dover Publications. This book was released on 2008-07-24 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: The state space approach is widely used in systems ranging from industrial robots to space guidance control. This landmark in the technique's development and applications was written by two pioneers in the field, Lotfi A. Zadeh and Charles A. Desoer, who teach in the Department of Electrical Engineering and Computer Science at the University of California, Berkeley. Starting with a self-contained introduction to system theory, the authors explain basic concepts, presenting each idea within a carefully integrated framework of numerous illustrative examples. Most of the text concerns the application of the state space approach to systems described by differential equations. Problems of stability and controllability receive particular attention, and connections between the state space approach and classical techniques are highlighted. The properties of transfer functions are covered in separate chapters. Extensive appendixes feature complete and self-contained expositions of delta-functions and distributions, the Laplace and Fourier transform theory, the theory of infinite dimensional linear vector spaces, and functions of a matrix.
Author : Harold Jeffreys
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (89 download)
Download or read book Operational Methods in Mathematical Physics written by Harold Jeffreys and published by . This book was released on 1927 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. T. Kelley
Publisher : SIAM
ISBN 13 : 0898713528
Total Pages : 169 pages
Book Rating : 4.8/5 (987 download)
Download or read book Iterative Methods for Linear and Nonlinear Equations written by C. T. Kelley and published by SIAM. This book was released on 1995-01-01 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Alan Jeffrey
Publisher : Springer Science & Business Media
ISBN 13 : 9048192749
Total Pages : 323 pages
Book Rating : 4.0/5 (481 download)
Download or read book Matrix Operations for Engineers and Scientists written by Alan Jeffrey and published by Springer Science & Business Media. This book was released on 2010-09-05 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the University of Newcastle upon Tyne. He has given courses on engineering mathematics at UK and US Universities.
Author : Timothy A. Davis
Publisher : SIAM
ISBN 13 : 9780898718881
Total Pages : 229 pages
Book Rating : 4.7/5 (188 download)
Download or read book Direct Methods for Sparse Linear Systems written by Timothy A. Davis and published by SIAM. This book was released on 2006-01-01 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.
Author : Biswa Datta
Publisher : Elsevier
ISBN 13 : 008053788X
Total Pages : 736 pages
Book Rating : 4.0/5 (85 download)
Download or read book Numerical Methods for Linear Control Systems written by Biswa Datta and published by Elsevier. This book was released on 2004-02-24 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions Background material in linear algebra, numerical linear algebra, and control theory included in text Step-by-step explanations of the algorithms and examples
Author : Aleksa Srdanov
Publisher : Universal-Publishers
ISBN 13 : 1627347380
Total Pages : 72 pages
Book Rating : 4.6/5 (273 download)
Download or read book How to Solve Large Linear Systems written by Aleksa Srdanov and published by Universal-Publishers. This book was released on 2019-12-01 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving the linear equation system n x n can also be a problem for a computer, even when the number of equations and unknowns is relatively small (a few hundred). All existing methods are burdened by at least one of the following problems: 1) Complexity of computation expressed through the number of operations required to be done to obtaining solution; 2) Unrestricted growth of the size of the intermediate result, which causes overflow and underflow problems; 3) Changing the value of some coefficients in the input system, which causes the instability of the solution; 4) Require certain conditions for convergence, etc. In this paper an approximate and exact methods for solving a system of linear equations with an arbitrary number of equations and the same number of unknowns is presented. All the mentioned problems can be avoided by the proposed methods. It is possible to define an algorithm that does not solve the system of equations in the usual mathematical way, but still finds its exact solution in the exact number of steps already defined. The methods consist of simple computations that are not cumulative. At the same time, the number of operations is acceptable even for a relatively large number of equations and unknowns. In addition, the algorithms allows the process to start from an arbitrary initial n-tuple and always leads to the exact solution if it exists.
Author : Daniel Zwillinger
Publisher : Academic Press
ISBN 13 : 1483220966
Total Pages : 694 pages
Book Rating : 4.4/5 (832 download)
Download or read book Handbook of Differential Equations written by Daniel Zwillinger and published by Academic Press. This book was released on 2014-05-12 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.
