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Author : Na Li
Publisher :
ISBN 13 :
Total Pages : 370 pages
Book Rating : 4.:/5 (319 download)
Download or read book Robust Preconditioners for Large Sparse Linear Systems and Least-squares Problems written by Na Li and published by . This book was released on 2006 with total page 370 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 : Daniele Bertaccini
Publisher : CRC Press
ISBN 13 : 1351649612
Total Pages : 321 pages
Book Rating : 4.3/5 (516 download)
Download or read book Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications written by Daniele Bertaccini and published by CRC Press. This book was released on 2018-02-19 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.
Author : Eun-Joo Lee
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (277 download)
Download or read book Accurate and Robust Preconditioning Techniques for Solving General Sparse Linear Systems written by Eun-Joo Lee and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Owe Axelsson
Publisher : Bentham Science Publishers
ISBN 13 : 1608052915
Total Pages : 153 pages
Book Rating : 4.6/5 (8 download)
Download or read book Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations written by Owe Axelsson and published by Bentham Science Publishers. This book was released on 2011 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This e-book presents several research areas of elliptical problems solved by differential equations. The mathematical models explained in this e-book have been contributed by experts in the field and can be applied to a wide range of real life examples. M
Author : Jennifer Scott
Publisher : Springer Nature
ISBN 13 : 3031258207
Total Pages : 254 pages
Book Rating : 4.0/5 (312 download)
Download or read book Algorithms for Sparse Linear Systems written by Jennifer Scott and published by Springer Nature. This book was released on 2023-04-29 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large sparse linear systems of equations are ubiquitous in science, engineering and beyond. This open access monograph focuses on factorization algorithms for solving such systems. It presents classical techniques for complete factorizations that are used in sparse direct methods and discusses the computation of approximate direct and inverse factorizations that are key to constructing general-purpose algebraic preconditioners for iterative solvers. A unified framework is used that emphasizes the underlying sparsity structures and highlights the importance of understanding sparse direct methods when developing algebraic preconditioners. Theoretical results are complemented by sparse matrix algorithm outlines. This monograph is aimed at students of applied mathematics and scientific computing, as well as computational scientists and software developers who are interested in understanding the theory and algorithms needed to tackle sparse systems. It is assumed that the reader has completed a basic course in linear algebra and numerical mathematics.
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 : Venansius Baryamureeba
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.E/5 ( download)
Download or read book Preconditioners for Sequences of Weighted Linear Systems written by Venansius Baryamureeba and published by . This book was released on 2000 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The State-of-the-art of Preconditioners for Sparse Linear Least-squares Problems written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan Lirkov
Publisher : Springer
ISBN 13 : 354024588X
Total Pages : 493 pages
Book Rating : 4.5/5 (42 download)
Download or read book Large-Scale Scientific Computing written by Ivan Lirkov and published by Springer. This book was released on 2004-01-30 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume were presented at the 4th International Conference on Large-Scale Scientific Computations ICLSSC 2003. It was held in Sozopol, Bulgaria, June 4-8, 2003. The conference was organized and sponsored by the Central Laboratory for Parallel Processing at the Bulgarian Academy of Sciences. Support was also provided from the Center of Excellence "BIS 21" (funded by the European Commission), SIAM and GAMM. A co-organizer of this traditional scientific meeting was the Division of Numerical Analysis and Statistics of the University of Rousse. The success of the conference and the present volume in particular are the outcome of the joint efforts of many colleagues from various institutions and organizations. First thanks to all the members of the Scientific Committee for their valuable contribution to forming the scientific face of the conference, as well as for their help in reviewing contributed papers. We would like to specially thank the organizers of the special sessions: R. Blaheta, N. Dimitrova, A. Ebel, K. Georgiev, O. Iliev, A. Karaivanova, H. Kosina, M. Krastanov, U. Langer, P. Minev, M. Neytcheva, M. Sch ̈ afer, V. Veliov, and Z. Zlatev. We are also grateful to the staff involved in the local organization. Special Events: - The conference was devoted to the 60th anniversary of Raytcho Lazarov. - During the conference, the nomination for the World Level of the Hall of Fame for Engineering, Science and Technology, HOFEST, was officially awarded to Owe Axelsson.
Author : Gene H. Golub
Publisher : JHU Press
ISBN 13 : 1421407949
Total Pages : 781 pages
Book Rating : 4.4/5 (214 download)
Download or read book Matrix Computations written by Gene H. Golub and published by JHU Press. This book was released on 2013-02-15 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.
Author : Hamid R. Arabnia
Publisher : Springer Nature
ISBN 13 : 3030699846
Total Pages : 1201 pages
Book Rating : 4.0/5 (36 download)
Download or read book Advances in Parallel & Distributed Processing, and Applications written by Hamid R. Arabnia and published by Springer Nature. This book was released on 2021-10-18 with total page 1201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the proceedings of four conferences: The 26th International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA'20), The 18th International Conference on Scientific Computing (CSC'20); The 17th International Conference on Modeling, Simulation and Visualization Methods (MSV'20); and The 16th International Conference on Grid, Cloud, and Cluster Computing (GCC'20). The conferences took place in Las Vegas, NV, USA, July 27-30, 2020. The conferences are part of the larger 2020 World Congress in Computer Science, Computer Engineering, & Applied Computing (CSCE'20), which features 20 major tracks. Authors include academics, researchers, professionals, and students. Presents the proceedings of four conferences as part of the 2020 World Congress in Computer Science, Computer Engineering, & Applied Computing (CSCE'20); Includes the research tracks Parallel and Distributed Processing, Scientific Computing, Modeling, Simulation and Visualization, and Grid, Cloud, and Cluster Computing; Features papers from PDPTA’20, CSC’20, MSV’20, and GCC’20.
Author : David J. Evans
Publisher : CUP Archive
ISBN 13 : 9780521262729
Total Pages : 364 pages
Book Rating : 4.2/5 (627 download)
Download or read book Sparsity and Its Applications written by David J. Evans and published by CUP Archive. This book was released on 1985-01-10 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.
Author : H. A. van der Vorst
Publisher : Cambridge University Press
ISBN 13 : 9780521818285
Total Pages : 242 pages
Book Rating : 4.8/5 (182 download)
Download or read book Iterative Krylov Methods for Large Linear Systems written by H. A. van der Vorst and published by Cambridge University Press. This book was released on 2003-04-17 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Author :
Publisher :
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.X/5 (6 download)
Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2005 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ake Bjorck
Publisher : SIAM
ISBN 13 : 9781611971484
Total Pages : 425 pages
Book Rating : 4.9/5 (714 download)
Download or read book Numerical Methods for Least Squares Problems written by Ake Bjorck and published by SIAM. This book was released on 1996-01-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject.
Author : Carnegie-Mellon University. Computer Science Dept
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (362 download)
Download or read book Combinatorial Preconditioners for Sparse, Symmetric, Diagonally Dominant Linear Systems written by Carnegie-Mellon University. Computer Science Dept and published by . This book was released on 1996 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Solution of large, sparse linear systems is an important problem in science and engineering. Such systems arise in many applications, such as electrical networks, stress analysis, and more generally, in the numerical solution of partial differential equations. When the coefficient matrices associated with these linear systems are symmetric and positive definite, the systems are often solved iteratively using the preconditioned conjugate gradient method. We have developed a new class of preconditioners, which we call support tree preconditioners, that are based on the combinatorial properties of the graphs corresponding to the coefficient matrices of the linear systems. We call the resulting iterative method support tree conjugate gradient, or STCG. These new preconditioners are applicable to the class of symmetric and diagonally dominant matrices, and have the advantage of being well-structured for parallel implementation, both in construction and in evaluation. In this thesis, we present the intuition, construction, implementation, and analysis of STCG. STCG is based upon an interesting isomorphism between a certain class of matrices (which we call Laplacian matrices), edge-weighted undirected graphs, and resistive networks. Using this isomorphism, we show that an iterative method can be interpreted in terms of these discrete structures. Based on this interpretation, the STCG method for accelerating convergence is developed, which involves constructing other, more efficient discrete structures called support trees, and using their interpretation as matrices to apply them as preconditioners. Interestingly, the matrix preconditioners used in STCG are larger, but sparser than conventional preconditioners. Additionally, the construction of support trees is basically an application of recursive divide-and- conquer. Support trees have very regular structures and are very well- suited for parallel implementation. Through theoretical analysis and numerical experiments, we show that STCG is practical and efficient for the parallel solution of large sparse linear systems with Laplacian coeffient matrices. STCG is an interesting example of combinatorial techniques being applied to solve an algebraic problem. These techniques have wider applicability than the acceleration of iterative techniques. We also demonstrate an application of these techniques to the more general problem of bounding eigenvalues."
