Preface
Notations
CHAPTER 1 Generalized Inverses
1.1 Matrix Decompositions
1.2 Moore-Penrose Inverse
1.3 Drazin Inverse
1.4 Group Inverse
1.5 Generalized Inverses and System of Linear Equations
1.6 Graph and Matrix
CHAPTER 2 Generalized Inverses of Partitioned Matrices
2.1 Drazin Inverse of Partitioned Matrices
2.2 Group Inverse of Partitioned Matrices
2.3 Additive Formulas for Drazin Inverse and Group Inverse
2.4 Drazin Inverse Index for Partitioned Matrices
CHAPTER 3 SNS and S2NS Matrices
3.1 Sign-Solvability of Linear Equations
3.2 Characterizations for SNS and S2NS Matrices via Digraphs
3.3 Ray Nonsingular and Ray S2NS Matrices
CHAPTER 4 Sign Pattern for Moore-Penrose Inverse
4.1 Least Squares Sign-Solvability
4.2 Matrices with Signed Moore-Penrose Inverse
4.3 Triangular Partitioned Matrices with Signed Moore-Penrose Inverse
4.4 Ray Pattern for Moore-Penrose Inverse
CHAPTER5 Sign Pattern for Drazin Inverse
5.1 Matrices with Signed Drazin Inverse
5.2 Upper Triangular Partitioned Matrices with Signed Drazin Inverse
5.3 Anti-Triangnlar Partitioned Matrices with Signed Drazin Inverse
5.4 Bipartite Matrices with Signed Drazin Inverse
5.5 Sign Pattern of Group Inverse
5.6 Ray Pattern of Drazin Inverse
CHAPTER6 Sign Pattern for Tensors
6.1 Tensors
6.2 Inverse of Tensors
6.3 Minimum and Maximum Rank of Sign Pattern Tensors
6.4 Sign Nonsingular Tensors
References
Book list of the Series in Information and Computational Science
