An Introduction to Inverse algebraic Eigenvalue Problems

Author: Shu-Fang Xu
Language: English
Published on: 1998-01
Hardcover

An inverse algebraic eigenvalue problem, roughly speaking, is how to determine the elements of a matix from its spectrum dat. This kind of problem has been of great value for many applications, including control theory, structure mechanics, geology, molecular spectroscopy, and so on. Therefore, in recent years, many authors have been devoted to the study of this kind of problem and some significant progress has been made. One of the purposes of this book is to provide the reader with the recent developments in this field.

Although a given inverse algebraic eigenvalue problem is just a matrix computational problem, it is often unable to be solved with the traditional skills from matrix computations. In fact, its participants need skills from various areas. The other purpse of this book is to introduce the reader to these skills as they pertain to inverse algebraic eigenvalue problems.

Contents

1. Preliminaries
2. Jacobi Matrix Inverse Eigenvalue Problems
3. Pole Assignment Problems
4. Additive and Multiplicative Inverse Eigenvalue Problems
5. Nonnegative Matrix Inverse Eigenvalue Problems
6. Bibliography
7. Index