Overview
This book is about computing eigenvalues, eigenvectors and invariant subspaces of matrices. The treatment includes generalized and structured eigenvalue problems, such as Hamiltonian or product eigenvalue problems. All vital aspects of eigenvalue computations are covered: theory, perturbation analysis, algorithms, high performance methodologies and software. The reader will learn about recently developed techniques which substantially improve the performance of some of the most widely numerical methods, the QR and the QZ algorithm as well as Krylov subspace methods. A unique feature of this book is the detailed treatment of structured eigenvalue problems, providing insight on accuracy and efficiency gains to be expected from algorithms that take the structure of a matrix into account.
Full Product Details
Author: Daniel Kressner
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2005 ed.
Volume: 46
Dimensions:
Width: 15.50cm
, Height: 1.40cm
, Length: 23.50cm
Weight: 0.880kg
ISBN: 9783540245469
ISBN 10: 3540245464
Pages: 258
Publication Date: 15 July 2005
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
From the reviews: This book deals with the numerical methods for general and structured eigenvalue problems. ... These lecture notes provide a detailed treatment and an updated account on the various eigenvalue algorithms and related topics ... . In today,s world of computing, it is certainly a valuable reference and tool for anyone using methods of numerical linear algebra. (Amin Boumenir, Zentralblatt MATH, Vol. 1079, 2006) A detailed treatment of methods for special matrices such as unitary, skew-Hamiltonian, Hamiltonian, symplectic, and product form. ... Kressner has two very useful short appendices, one on basic ideas in control theory and the other on available software. ... present the state of the art, for general and special eigenvalue problems, in a very clear manner. ... That said, we are lucky to have ... such fine books that reveal the clever ideas and techniques that constitute current matrix eigenvalue algorithms. (Beresford Parlett, SIAM Review, Vol. 52 (4), 2010)
From the reviews: This book deals with the numerical methods for general and structured eigenvalue problems. ... These lecture notes provide a detailed treatment and an updated account on the various eigenvalue algorithms and related topics ... . In today's world of computing, it is certainly a valuable reference and tool for anyone using methods of numerical linear algebra. (Amin Boumenir, Zentralblatt MATH, Vol. 1079, 2006) A detailed treatment of methods for special matrices such as unitary, skew-Hamiltonian, Hamiltonian, symplectic, and product form. ... Kressner has two very useful short appendices, one on basic ideas in control theory and the other on available software. ... present the state of the art, for general and special eigenvalue problems, in a very clear manner. ... That said, we are lucky to have ... such fine books that reveal the clever ideas and techniques that constitute current matrix eigenvalue algorithms. (Beresford Parlett, SIAM Review, Vol. 52 (4), 2010)
From the reviews of the first edition: <p> This book deals with the numerical methods for general and structured eigenvalue problems. a ] These lecture notes provide a detailed treatment and an updated account on the various eigenvalue algorithms and related topics a ] . In todaya (TM)s world of computing, it is certainly a valuable reference and tool for anyone using methods of numerical linear algebra. (Amin Boumenir, Zentralblatt MATH, Vol. 1079, 2006)
