| 格值矩阵的逆及广义逆 |
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| 引用本文： | 邹蓥,雷红轩,罗兰,陈华英.格值矩阵的逆及广义逆[J].内江师范学院学报,2009,24(6):22-25. |
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| 作者姓名： | 邹蓥 雷红轩 罗兰 陈华英 |
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| 作者单位： | 1. 内江师范学院,数学与信息科学学院,四川,内江,641112
2. 内江师范学院,数学与信息科学学院,四川,内江,641112;四川省高等学校数值仿真重点实验室,四川,内江,641112 |
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| 基金项目： | 四川省教育厅重点科研项目资助 |
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| 摘 要： | 探讨了基于格半群上的矩阵的逆和广义逆等问题，给出了格值矩阵的逆、{1}-广义逆和M—P广义逆的概念和它们存在的条件，以及格值矩阵A的任意一个{1}-广义逆的具体形式、M—P广义逆的存在性和唯一性．
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| 关 键 词： | 格半群 格值矩阵 {1}-广义逆 M-P广义逆 |
The Inverse and Generalized Inverse of Lattice-valued Matrices |
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| ZOU Ying,LEI Hong-xuan,LUO Lan,CHEN Hua-ying.The Inverse and Generalized Inverse of Lattice-valued Matrices[J].Journal of Neijiang Teachers College,2009,24(6):22-25. |
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| Authors: | ZOU Ying LEI Hong-xuan LUO Lan CHEN Hua-ying |
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| Institution: | 1.College of Mathematics & Information Science;Neijiang Normal University;Neijiang;Sichuan 641112;2.Key Laboratory of Numerical Simulation of Sichuan Provice;China |
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| Abstract: | The inverse and the generalized inverse of lattice-valued matrices based on lattice-monoids are discussed.The inverse of lattice-valued matrices is then given and the concept of {1}-generalized inverse and M-P generalized inverse with their existence conditions is also put forth.The concrete form of any one of the {1}-generalized inverses in the lattice-valued matrix A is presented and the M-P generalized inverse does exist and is characterized by uniqueness. |
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| Keywords: | lattice-ordered monoids lattice-valued matrices {1}-generalized inverse M-P generalized inverse |
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