
Sign Pattern for Generalized Inverses
Description
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Content
- Intro
- Sign Pattern for Generalized Inverses
- Preface
- Notations
- Generalized Inverses
- Matrix Decompositions
- Moore-Penrose Inverse
- Drazin Inverse
- Group Inverse
- Generalized Inverses and System of Linear Equations
- Graph and Matrix
- Generalized Inverses of Partitioned Matrices
- Drazin Inverse of Partitioned Matrices
- Group Inverse of Partitioned Matrices
- Additive Formulas for Drazin Inverse and Group Inverse
- Drazin Inverse Index for Partitioned Matrices
- SNS and S2NS Matrices
- Sign-Solvability of Linear Equations
- Characterizations for SNS and S2NS Matrices via Digraphs
- Ray Nonsingular and Ray S2NS Matrices
- Sign Pattern for Moore-Penrose Inverse
- Least Squares Sign-Solvability
- Matrices with Signed Moore-Penrose Inverse
- Triangular Partitioned Matrices with Signed Moore-Penrose Inverse
- Ray Pattern for Moore-Penrose Inverse
- Sign Pattern for Drazin Inverse
- Matrices with Signed Drazin Inverse
- Upper Triangular Partitioned Matrices with Signed Drazin Inverse
- Anti-Triangular Partitioned Matrices with Signed Drazin Inverse
- Bipartite Matrices with Signed Drazin Inverse
- Sign Pattern of Group Inverse
- Ray Pattern of Drazin Inverse
- Sign Pattern for Tensors
- Tensors
- Inverse of Tensors
- Minimum and Maximum Rank of Sign Pattern Tensors
- Sign Nonsingular Tensors
- References
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