From the Publisher
The use of numerical methods continues to expand rapidly. At their heart lie matrix computations. Written in a clear, expository style, it allows students and professionals to build confidence in themselves by putting the theory behind matrix computations into practice instantly. Algorithms that allow students to work examples and write programs introduce each chapter. The book then moves on to discuss more complicated theoretical material. Using a step-by-step approach, it introduces mathematical material only as it is needed. Exercises range from routine computations and verifications to extensive programming projects and challenging proofs.
--This text refers to an out of print or unavailable edition of this title.
From the Back Cover
This new, modernized edition provides a clear and thoroughintroduction to matrix computations, a key component of scientificcomputing
Retaining the accessible and hands-on style of its predecessor,Fundamentals of Matrix Computations, Third Editionthoroughly details matrix computations and the accompanying theoryalongside the author's useful insights. The book presents the mostimportant algorithms of numerical linear algebra and helps readersto understand how the algorithms are developed and why theywork.
Along with new and updated examples, the Third Editionfeatures:
- A novel approach to Francis' QR algorithm that explains itsproperties without reference to the basic QR algorithm
- Application of classical Gram-Schmidt withreorthogonalization
- A revised approach to the derivation of the Golub-Reinsch SVDalgorithm
- New coverage on solving product eigenvalue problems
- Expanded treatment of the Jacobi-Davidson method
- A new discussion on stopping criteria for iterative methods forsolving linear equations
Throughout the book, numerous new and updatedexercises—ranging from routine computations and verificationsto challenging programming and proofs—are provided, allowingreaders to immediately engage in applying the presented concepts.The new edition also incorporates MATLAB to solve real-worldproblems in electrical circuits, mass-spring systems, and simplepartial differential equations, and an index of MATLAB termsassists readers with understanding the basic concepts related tothe software.
Fundamentals of Matrix Computations, Third Edition is anexcellent book for courses on matrix computations and appliednumerical linear algebra at the upper-undergraduate and graduatelevel. The book is also a valuable resource for researchers andpractitioners working in the fields of engineering and computerscience who need to know how to solve problems involving matrixcomputations.