Large Scale Eigenvalue Problems

J. Cullum, R.A. Willoughby

• Publisher: North Holland
• Year: 1986
• Print ISBN: 9780444700742
• eBook ISBN: 9780080872384
• Topic: Mathematics
• Subtopic: Linear Algebra
• Index: Mathematics

Results of research into large scale eigenvalue problems are presented in this volume. The papers fall into four principal categories: novel algorithms for solving large eigenvalue problems, novel computer architectures, computationally-relevant theoretical analyses, and problems where large scale eigenelement computations have provided new insight.

Table of contents

• Front Cover
• Large Scale Eigenvalue Problems
• Copyright Page
• Table of Contents
• Chapter 1. Introduction to the Proceedings
• Chapter 2. High Performance Computers and Algorithms from Linear Algebra
• Chapter 3. The Impact of Parallel Architectures on the Solution of Eigenvalue Problems
• Chapter 4. Computing the Singular Value Decomposition on a Ring of Array Processors
• Chapter 5. Quantum Dynamics with the Recursive Residue Generation Method: Improved Algorithm for Chain Propagators
• Chapter 6. Eigenvalue Problems and Algorithms in Structural Engineering
• Chapter 7. A Generalised Eigenvalue Problem and the Lanczos Algorithm
• Chapter 8. Numerical Path Following and Eigenvalue Criteria for Branch Switching
• Chapter 9. The Lanczos Algorithm in Molecular Dynamics: Calculation of Spectral Densities
• Chapter 10. Investigation of Nuclear Dynamics in Molecules by Means of the Lanczos Algorithm
• Chapter 11. Examples of Eigenvalue/Vector Use in Electric Power System Problems
• Chapter 12. A Practical Procedure for Computing Eigenvalues of Large Sparse Nonsymmetric Matrices
• Chapter 13. Computing the Complex Eigenvalue Spectrum for Resistive Magnetohydrodynamics
• Chapter 14. Ill Conditioned Eigenproblems
• Chapter 15. Stably Computing the Kronecker Structure and Reducing Subspaces of Singular Pencils A - λB for Uncertain Data
• Chapter 16. Addresses of Authors and Other Workshop Speakers
• Index to Proceedings