Generalized Inverse Matrix and Its Applications

Author: Wang Songgui Yang Zhenhai
Publisher:
Publish Date: 2006-05-01
Features: This book systematically discusses the theory, methods, and applications of generalized inverse matrices. The book is divided into ten chapters. Chapter 1 introduces the definition of generalized inverse matrices and provides an overview of their historical development. Chapter 2 summarizes some preliminary knowledge in matrix theory from the perspective suitable for this book. The next six chapters systematically discuss the properties, inequalities, computational methods, and some direct applications of various generalized inverses defined by the Moore-Penrose equations. The last two chapters introduce the applications of generalized inverses in disciplines such as probability and statistics, mathematical programming, numerical computation, and network theory. At the end of the book, there are over a hundred references. The target readers of this book are teachers, senior students, and graduate students in mathematics, physics, engineering, economics, and related fields in higher education institutions. It can also be read by all science and technology workers who use matrices as a mathematical tool.