Computational Methods of Linear Algebra

Computational Methods of Linear Algebra

Author: Granville Sewell

Publisher: World Scientific Publishing Company Incorporated

Published: 2014

Total Pages: 318

ISBN-13: 9789814603850

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This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming problems. The book also includes a chapter on the fast Fourier transform and a very practical introduction to the solution of linear algebra problems on modern supercomputers. The book contains the relevant theory for most of the methods employed. It also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs for solving linear algebraic problems. Highly readable FORTRAN and MATLAB codes are presented which solve all of the main problems studied.


Computational Methods Of Linear Algebra (3rd Edition)

Computational Methods Of Linear Algebra (3rd Edition)

Author: Granville Sewell

Publisher: World Scientific Publishing Company

Published: 2014-07-07

Total Pages: 329

ISBN-13: 9814603880

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This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming problems. The book also includes a chapter on the fast Fourier transform and a very practical introduction to the solution of linear algebra problems on modern supercomputers.The book contains the relevant theory for most of the methods employed. It also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs for solving linear algebraic problems. Highly readable FORTRAN and MATLAB codes are presented which solve all of the main problems studied.


Introduction to Computational Linear Algebra

Introduction to Computational Linear Algebra

Author: Nabil Nassif

Publisher: CRC Press

Published: 2015-06-24

Total Pages: 258

ISBN-13: 1482258714

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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


Numerical Linear Algebra

Numerical Linear Algebra

Author: Lloyd N. Trefethen

Publisher: SIAM

Published: 2022-06-17

Total Pages: 387

ISBN-13: 1611977169

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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.


Numerical Linear Algebra for Applications in Statistics

Numerical Linear Algebra for Applications in Statistics

Author: James E. Gentle

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 229

ISBN-13: 1461206235

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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.


Applied Numerical Linear Algebra

Applied Numerical Linear Algebra

Author: James W. Demmel

Publisher: SIAM

Published: 1997-08-01

Total Pages: 426

ISBN-13: 0898713897

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This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.


Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra

Author: Stephen Boyd

Publisher: Cambridge University Press

Published: 2018-06-07

Total Pages: 477

ISBN-13: 1316518965

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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.


Linear Algebra

Linear Algebra

Author: Richard Bronson

Publisher: Academic Press

Published: 2013-10-08

Total Pages: 532

ISBN-13: 0123978114

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In this appealing and well-written text, Richard Bronson starts with the concrete and computational, and leads the reader to a choice of major applications. The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructor's taste and to the length of the course. Bronson's approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced and key material is highlighted in the text and summarized at the end of each chapter. The book also includes ample exercises with answers and hints. Prerequisite: One year of calculus is recommended. - Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs - Provides a balanced approach to computation and theory by offering computational algorithms for finding eigenvalues and eigenvectors - Offers excellent exercise sets, ranging from drill to theoretical/challeging along with useful and interesting applications not found in other introductory linear algebra texts