新書推薦：
《
更生：中国文明与人文精神重塑
》
售價：NT$
755
《
四海之内：中国历史四十讲
》
售價：NT$
454
《
万亿低空：技术核心篇 低空经济
》
售價：NT$
500
《
逃离邪恶（中译本首-次出版 普利策奖得主厄内斯特·贝克尔遗作 《拒斥死亡》姊妹篇）
》
售價：NT$
500
《
萤火虫全球史072：图说中世纪医学简史
》
售價：NT$
383
《
汉字中国：承载三千年中华文化的瑰宝
》
售價：NT$
199
《
自我救赎：战胜复杂性创伤的行动指南
》
售價：NT$
301
《
罗马和平新版 古代地中海世界的暴力 征服与和平 汗青堂丛书109
》
售價：NT$
541
|
| 內容簡介： |
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.
|
| 目錄：
|
Contents
Preface III
Notations V
CHAPTER 1
Generalized Inverses 1
1.1 Matrix Decompositions 1
1.2 Moore-Penrose Inverse 2
1.3 Drazin Inverse 5
1.4 Group Inverse 8
1.5 Generalized Inverses and System of Linear Equations 12
1.6 Graph and Matrix 14
CHAPTER 2
Generalized Inverses of Partitioned Matrices 19
2.1 Drazin Inverse of Partitioned Matrices 19
2.2 Group Inverse of Partitioned Matrices 45
2.3 Additive Formulas for Drazin Inverse and Group Inverse 71
2.4 Drazin Inverse Index for Partitioned Matrices 96
CHAPTER 3
SNS and S2NS Matrices 101
3.1 Sign-Solvability of Linear Equations 101
3.2 Characterizations for SNS and S2NS Matrices via Digraphs 108
3.3 Ray Nonsingular and Ray S2NS Matrices 116
CHAPTER 4
Sign Pattern for Moore-Penrose Inverse 123
4.1 Least Squares Sign-Solvability 123
4.2 Matrices with Signed Moore-Penrose Inverse 125
4.3 Triangular Partitioned Matrices with Signed Moore-Penrose Inverse 138
4.4 Ray Pattern for Moore-Penrose Inverse 143
CHAPTER 5
Sign Pattern for Drazin Inverse 149
5.1 Matrices with Signed Drazin Inverse 149
5.2 Upper Triangular Partitioned Matrices with Signed Drazin Inverse 151
5.3 Anti-Triangular Partitioned Matrices with Signed Drazin Inverse 161
5.4 Bipartite Matrices with Signed Drazin Inverse 171
5.5 Sign Pattern of Group Inverse 176
5.6 Ray Pattern of Drazin Inverse 187
CHAPTER 6
Sign Pattern for Tensors 197
6.1 Tensors 197
6.2 Inverse of Tensors 200
6.3 Minimum and Maximum Rank of Sign Pattern Tensors 204
6.4 Sign Nonsingular Tensors 208
References 215
Book list of the Series in Information and Computational Science 225
|
|
購物車/收銀台(0) | 在線留言板
| 付款方式
| 聯絡我們
| 運費計算
| 幫助中心 |
加入書簽
HOME
新書上架
