Springer Series in Computational Mathematics 36: Geršgorin and His Circles (Hardback)

Condition

LIKE NEW: The book and its dust jacket are in excellent, like-new condition. The book was printed on acid-free paper.

Product Details

This is Number 36 in theSpringer Series in Computational Mathematics .

Continued from the back cover: "Since the publication of [Geršgorin's 1931 paper], there has been many newer results spawned by his paper, and this book will be the first which is devoted solely to this resulting area. As such, it will include the latest research results, such as Brauer ovals of Cassini and Brualdi lemniscates, and their comparisons. This book is dedicated to the late Olga Taussky-Todd and her husband, John Todd. It was Olga who brought to light Geršgorin's paper and its significance to the mathematical world. The level of this book requires only a modest background in linear algebra and analysis, and is therefore comprehensible to upper-level and graduate level students in mathematics."

Chapters

1. Basic Theory
2. Geršgorin-Type Eigenvalue Inclusion Theorems
3. More Eigenvalue Inclusion Results
4. Minimal Geršgorin Sets and Their Sharpness
5. G-Functions
6. Geršgorin-Type Theorems for Partitioned Matrices

Appendices

1. Geršgorin's Paper from 1931, and Comments
2. Vector Names and Induced Operator Norms
3. The Parron-Frobenius Theory of Nonnegative Matrices
4. Matlab 6 Programs

The book concludes with References.