广义逆的符号模式 9787030685681
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￥ 93.22 7.9折 ￥ 118 全新
库存4件
作者卜长江，孙丽珠，魏益民
出版社科学出版社
ISBN9787030685681
出版时间2023-06
装帧精装
开本16开
定价118元
货号29270018
上书时间2024-10-20
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导语摘要
his book addresses recent developments in sign patterns for generalized inverses. The fundamental importance of the fields is obvious, since they are related with qualitative analysis of linear systems and combinatorial matrix theory.《BR》The book provides both introductory materials and discussions to the areas in sign patterns for Moore-Penrose inverse, Drazin inverse and tensors. It is intended to convey results to the senior students and readers in pure and applied linear algebra, and combinatorial matrix theory.
商品简介his book addresses recent developments in sign patterns for generalized inverses. The fundamental importance of the fields is obvious, since they are related with qualitative analysis of linear systems and combinatorial matrix theory.
The book provides both introductory materials and discussions to the areas in sign patterns for Moore-Penrose inverse, Drazin inverse and tensors. It is intended to convey results to the senior students and readers in pure and applied linear algebra, and combinatorial matrix theory.
目录
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
内容摘要
his book addresses recent developments in sign patterns for generalized inverses. The fundamental importance of the fields is obvious, since they are related with qualitative analysis of linear systems and combinatorial matrix theory.《BR》The book provides both introductory materials and discussions to the areas in sign patterns for Moore-Penrose inverse, Drazin inverse and tensors. It is intended to convey results to the senior students and readers in pure and applied linear algebra, and combinatorial matrix theory.
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