Kronecker Products and Matrix Calculus With Applications

Enhanced by many worked examples — as well as problems and solutions — this in-depth text discusses the Kronecker matrix product. Named after a 19th-century German mathematician, Leopold Kronecker, the Kronecker product is an increasingly important and useful matrix operation and an area of matrix calculus with numerous applications. A great deal of information previously only available in specialized and hard-to-find texts and papers is presented here at an undergraduate level.
After the preliminaries of an introductory chapter, the treatment proceeds to examinations of the Kronecker product and its applications. An introduction to matrix calculus is followed by further development of the subject, including an application of Kronecker products. Final chapters explore the derivative of a matrix and some applications of matrix calculus. The text concludes with solutions to the problems that appear at the end of each chapter and helpful tables of formulae and derivatives.

Dr. Alexander Graham, now retired, was Senior Lecturer on the Faculty of Mathematics at The Open University, Milton Keynes, UK. Dover also publishes his Matrix Theory and Applications for Scientists and Engineers.

Table of Contents:
Author's Preface
Symbols and Notation Used
1. Preliminaries
2. The Kronecker Product
3. Some Applications for the Kronecker Product
4. Introduction to Matrix Calculus
5. Further Development of Matrix Calculus Including an Application of Kronecker Products
6. The Derivative of a Matrix with Respect to a Matrix
7. Some Applications of Matrix Calculus
Solution to Problems
Tables of Formulae and Derivatives
Bibliography
Index