Computational Linear Algebra PDF Download
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| Author | : Lloyd N. Trefethen |
| Publisher | : SIAM |
| Total Pages | : 387 |
| Release | : 2022-06-17 |
| Genre | : Mathematics |
| ISBN | : 1611977169 |
Download Numerical Linear Algebra Book in PDF, ePub and Kindle
Since its original appearance in 1997, Numerical Linear Algebra has been a leading textbook in its field, used in universities around the world. It is noted for its 40 lecture-sized short chapters and its clear and inviting style. It is reissued here with a new foreword by James Nagy and a new afterword by Yuji Nakatsukasa about subsequent developments.
| Author | : Nabil Nassif |
| Publisher | : CRC Press |
| Total Pages | : 258 |
| Release | : 2015-06-24 |
| Genre | : Mathematics |
| ISBN | : 1482258714 |
Download Introduction to Computational Linear Algebra Book in PDF, ePub and Kindle
Teach Your Students Both the Mathematics of Numerical Methods and the Art of Computer ProgrammingIntroduction to Computational Linear Algebra presents classroom-tested material on computational linear algebra and its application to numerical solutions of partial and ordinary differential equations. The book is designed for senior undergraduate stud
| Author | : D. K. Faddeev |
| Publisher | : |
| Total Pages | : |
| Release | : 1993 |
| Genre | : |
| ISBN | : |
Download Computational Methods of Linear Algebra Book in PDF, ePub and Kindle
| Author | : Holger Wendland |
| Publisher | : Cambridge University Press |
| Total Pages | : 419 |
| Release | : 2018 |
| Genre | : Computers |
| ISBN | : 1107147131 |
Download Numerical Linear Algebra Book in PDF, ePub and Kindle
This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems.
| Author | : Martin Kreuzer |
| Publisher | : Springer |
| Total Pages | : 332 |
| Release | : 2016-09-06 |
| Genre | : Mathematics |
| ISBN | : 3319436015 |
Download Computational Linear and Commutative Algebra Book in PDF, ePub and Kindle
This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is not available at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations.
| Author | : William Ford |
| Publisher | : Academic Press |
| Total Pages | : 629 |
| Release | : 2014-09-14 |
| Genre | : Mathematics |
| ISBN | : 0123947847 |
Download Numerical Linear Algebra with Applications Book in PDF, ePub and Kindle
Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. The text consists of six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra. It explains in great detail the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs. This book will be a useful reference for graduate or advanced undergraduate students in engineering, science, and mathematics. It will also appeal to professionals in engineering and science, such as practicing engineers who want to see how numerical linear algebra problems can be solved using a programming language such as MATLAB, MAPLE, or Mathematica. Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra Detailed explanations and examples A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra Examples from engineering and science applications
| Author | : Robert E. White |
| Publisher | : CRC Press |
| Total Pages | : 330 |
| Release | : 2023-04-21 |
| Genre | : Mathematics |
| ISBN | : 1000846288 |
Download Computational Linear Algebra Book in PDF, ePub and Kindle
Courses on linear algebra and numerical analysis need each other. Often NA courses have some linear algebra topics, and LA courses mention some topics from numerical analysis/scientific computing. This text merges these two areas into one introductory undergraduate course. It assumes students have had multivariable calculus. A second goal of this text is to demonstrate the intimate relationship of linear algebra to applications/computations. A rigorous presentation has been maintained. A third reason for writing this text is to present, in the first half of the course, the very important topic on singular value decomposition, SVD. This is done by first restricting consideration to real matrices and vector spaces. The general inner product vector spaces are considered starting in the middle of the text. The text has a number of applications. These are to motivate the student to study the linear algebra topics. Also, the text has a number of computations. MATLAB® is used, but one could modify these codes to other programming languages. These are either to simplify some linear algebra computation, or to model a particular application.
| Author | : Tom Lyche |
| Publisher | : Springer Nature |
| Total Pages | : 376 |
| Release | : 2020-03-02 |
| Genre | : Mathematics |
| ISBN | : 3030364682 |
Download Numerical Linear Algebra and Matrix Factorizations Book in PDF, ePub and Kindle
After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them. Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. This in turn requires a good grasp of basic numerical linear algebra and matrix factorizations. Factoring a matrix into a product of simpler matrices is a crucial tool in numerical linear algebra, because it allows us to tackle complex problems by solving a sequence of easier ones. The main characteristics of this book are as follows: It is self-contained, only assuming that readers have completed first-year calculus and an introductory course on linear algebra, and that they have some experience with solving mathematical problems on a computer. The book provides detailed proofs of virtually all results. Further, its respective parts can be used independently, making it suitable for self-study. The book consists of 15 chapters, divided into five thematically oriented parts. The chapters are designed for a one-week-per-chapter, one-semester course. To facilitate self-study, an introductory chapter includes a brief review of linear algebra.
| Author | : Biswa Nath Datta |
| Publisher | : SIAM |
| Total Pages | : 546 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898717655 |
Download Numerical Linear Algebra and Applications Book in PDF, ePub and Kindle
Full of features and applications, this acclaimed textbook for upper undergraduate level and graduate level students includes all the major topics of computational linear algebra, including solution of a system of linear equations, least-squares solutions of linear systems, computation of eigenvalues, eigenvectors, and singular value problems. Drawing from numerous disciplines of science and engineering, the author covers a variety of motivating applications. When a physical problem is posed, the scientific and engineering significance of the solution is clearly stated. Each chapter contains a summary of the important concepts developed in that chapter, suggestions for further reading, and numerous exercises, both theoretical and MATLAB and MATCOM based. The author also provides a list of key words for quick reference. The MATLAB toolkit available online, 'MATCOM', contains implementations of the major algorithms in the book and will enable students to study different algorithms for the same problem, comparing efficiency, stability, and accuracy.
| Author | : James E. Gentle |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 229 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461206235 |
Download Numerical Linear Algebra for Applications in Statistics Book in PDF, ePub and Kindle
Accurate and efficient computer algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors. Regardless of the software system used, the book describes and gives examples of the use of modern computer software for numerical linear algebra. It begins with a discussion of the basics of numerical computations, and then describes the relevant properties of matrix inverses, factorisations, matrix and vector norms, and other topics in linear algebra. The book is essentially self- contained, with the topics addressed constituting the essential material for an introductory course in statistical computing. Numerous exercises allow the text to be used for a first course in statistical computing or as supplementary text for various courses that emphasise computations.
