Sign Pattern for Generalized Inverses
1st Edition
Published on 10. June 2021
232 pages
978-2-7598-2600-1 (ISBN)
Description
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More details
Language
English
Place of publication
Les Ulis
France
Target group
Professional and scholarly
US School Grade: College Graduate Student
Edition type
Digital original
File size
1,90 MB
ISBN-13
978-2-7598-2600-1 (9782759826001)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
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
