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Fundamentals of Matrix Computations 3e: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts

Autor DS Watkins
en Limba Engleză Hardback – 19 iul 2010
This new, modernized edition provides a clear and thorough introduction to matrix computations,a key component of scientific computing Retaining the accessible and hands-on style of its predecessor, Fundamentals of Matrix Computations, Third Edition thoroughly details matrix computations and the accompanying theory alongside the author's useful insights. The book presents the most important algorithms of numerical linear algebra and helps readers to understand how the algorithms are developed and why they work. Along with new and updated examples, the Third Edition features: * A novel approach to Francis' QR algorithm that explains its properties without reference to the basic QR algorithm * Application of classical Gram-Schmidt with reorthogonalization * A revised approach to the derivation of the Golub-Reinsch SVD algorithm * New coverage on solving product eigenvalue problems * Expanded treatment of the Jacobi-Davidson method * A new discussion on stopping criteria for iterative methods for solving linear equations Throughout the book, numerous new and updated exercises--ranging from routine computations and verifications to challenging programming and proofs--are provided, allowing readers to immediately engage in applying the presented concepts. The new edition also incorporates MATLAB(r) to solve real-world problems in electrical circuits, mass-spring systems, and simple partial differential equations, and an index of MATLAB(r) terms assists readers with understanding the basic concepts related to the software. Fundamentals of Matrix Computations, Third Edition is an excellent book for courses on matrix computations and applied numerical linear algebra at the upper-undergraduate and graduate level. The book is also a valuable resource for researchers and practitioners working in the fields of engineering and computer science who need to know how to solve problems involving matrix computations.
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Specificații

ISBN-13: 9780470528334
ISBN-10: 0470528338
Pagini: 664
Dimensiuni: 156 x 234 x 36 mm
Greutate: 1.05 kg
Ediția:3rd Edition
Editura: Wiley
Seria Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts

Locul publicării:Hoboken, United States

Public țintă

As a reference book for mathematicians, computer scientists, engineers, and other professionals and scientists who use numerical methods; also appropriate for software developers who need to solve matrix equations; as a textbook for upper–undergraduate and beginning–graduate level courses in matrix computations or applied numerical linear algebra within Mathematics, Engineering, and/or Computer Science departments; and academic libraries. 

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Descriere

* This Third Edition explains how to perform matrix computations efficiently and accurately by providing a detailed introduction to the fundamental ideas of numerical linear algebra and utilizes MATLAB(R) to perform elaborate computational experiments.