Inverse 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. This text discusses the fundamental questions, many applications, and mathematical properties.

Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions-the theoretic issue on solvability and the practical issue on 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, this book is aimed at graduates and researchers in applied mathematics, engineering and computer science and makes an ideal graduate text.

The book collects together much material not previosly available in book form and benefits from both authors' many years of experience of working on inverse eigenvalue and related problems.