Numerical Methods and Software for General and Structured Eigenvalue Problems
Author: Daniel Kreßner
Publisher:
Published: 2004
Total Pages: 255
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Daniel Kreßner
Publisher:
Published: 2004
Total Pages: 255
ISBN-13:
DOWNLOAD EBOOKAuthor: Daniel Kressner (Mathématicien)
Publisher:
Published: 2004
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Daniel Kressner
Publisher: Springer Science & Business Media
Published: 2006-01-20
Total Pages: 272
ISBN-13: 3540285024
DOWNLOAD EBOOKThis book is about computing eigenvalues, eigenvectors, and invariant subspaces of matrices. Treatment includes generalized and structured eigenvalue problems and all vital aspects of eigenvalue computations. A unique feature 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.
Author: Steffen Börm
Publisher: Walter de Gruyter
Published: 2012-05-29
Total Pages: 216
ISBN-13: 3110250373
DOWNLOAD EBOOKEigenvalues and eigenvectors of matrices and linear operators play an important role when solving problems from structural mechanics and electrodynamics, e.g., by describing the resonance frequencies of systems, when investigating the long-term behavior of stochastic processes, e.g., by describing invariant probability measures, and as a tool for solving more general mathematical problems, e.g., by diagonalizing ordinary differential equations or systems from control theory. This textbook presents a number of the most important numerical methods for finding eigenvalues and eigenvectors of matrices. The authors discuss the central ideas underlying the different algorithms and introduce the theoretical concepts required to analyze their behavior with the goal to present an easily accessible introduction to the field, including rigorous proofs of all important results, but not a complete overview of the vast body of research. Several programming examples allow the reader to experience the behavior of the different algorithms first-hand. The book addresses students and lecturers of mathematics, physics and engineering who are interested in the fundamental ideas of modern numerical methods and want to learn how to apply and extend these ideas to solve new problems.
Author: Yousef Saad
Publisher: SIAM
Published: 2011-01-01
Total Pages: 292
ISBN-13: 9781611970739
DOWNLOAD EBOOKThis revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.
Author: Angelika Bunse-Gerstner
Publisher:
Published: 1989
Total Pages: 49
ISBN-13:
DOWNLOAD EBOOKAuthor: Zhaojun Bai
Publisher: SIAM
Published: 2000-01-01
Total Pages: 430
ISBN-13: 0898714710
DOWNLOAD EBOOKMathematics of Computing -- Numerical Analysis.
Author: Gene Howard Golub
Publisher:
Published: 1983
Total Pages: 476
ISBN-13: 9780946536054
DOWNLOAD EBOOKAuthor: Justin Solomon
Publisher: CRC Press
Published: 2015-06-24
Total Pages: 400
ISBN-13: 1482251892
DOWNLOAD EBOOKNumerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig
Author: Moody Chu
Publisher: Oxford University Press
Published: 2005-06-16
Total Pages: 408
ISBN-13: 0198566646
DOWNLOAD EBOOKInverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions--the theoretical issue of solvability and the practical issue of computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems.This is the first book in the authoritative Numerical Mathematics and Scientific Computation series to cover numerical linear algebra, a broad area of numerical analysis. Authored by two world-renowned researchers, the book is aimed at graduates and researchers in applied mathematics, engineering and computer science and makes an ideal graduate text.