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  • 醉染图书广义逆的符号模式(英文版)9787030685681
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    • 作者: 卜长江,孙丽珠,魏益民著 | 卜长江,孙丽珠,魏益民编 | 卜长江,孙丽珠,魏益民译 | 卜长江,孙丽珠,魏益民绘
    • 出版社: 科学出版社
    • 出版时间:2021-06-01
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    • 作者: 卜长江,孙丽珠,魏益民著| 卜长江,孙丽珠,魏益民编| 卜长江,孙丽珠,魏益民译| 卜长江,孙丽珠,魏益民绘
    • 出版社:科学出版社
    • 出版时间:2021-06-01
    • 版次:1
    • 开本:16开
    • ISBN:9787030685681
    • 版权提供:科学出版社
    • 作者:卜长江,孙丽珠,魏益民
    • 著:卜长江,孙丽珠,魏益民
    • 装帧:精装
    • 印次:暂无
    • 定价:118.00
    • ISBN:9787030685681
    • 出版社:科学出版社
    • 开本:16开
    • 印刷时间:暂无
    • 语种:暂无
    • 出版时间:2021-06-01
    • 页数:暂无
    • 外部编号:1202418484
    • 版次:1
    • 成品尺寸:暂无


    Contents
    Preface III
    Notations V
    CHAPTER 1
    Generalized Inverses 1
    1.1 Matrix Decoitions 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
    . 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 1
    4.1 Least Squares Sign-Solvability 1
    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


    【书摘与插画】

    ?



    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.


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