Kronecker products and matrix calculus: With applications (Ellis Horwood series in mathematics and its 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. This Book Introduces The Concept Of The Kronecker Matrix Product And Its Applications To Mathematics, Science And Engineering. It Covers Important Developments In Matrix Calculus; And The Various Techniques Which It Introduces, Which Heretofore Have Been The Sole Preserve Of The Expert, Are Now Re-expressed In A Manner Which Is Readily Understandable, And Which Is Applicable To A Wide Range Of Scientific Disciplines. We Know No Of No Other Text Dealing With These Topics, At This Level.--inside Front Cover. Preliminaries -- The Kronecker Product -- Some Applications For The Kronecker Product -- Introduction To Matrix Calculus -- Further Development Of Matrix Calculus Including An Application Of Kronecker Products -- The Derivative Of A Matrix With Respect To A Matrix -- Some Applications Of Matrix Calculus. Alexander Graham. Includes Index. Bibliography: P. [126]-128.