基于矩阵元素的广义逆的计算及应用  

Calculation and Application of Generalized Inverse Based on Matrix Elements

作　　者：施旭 尤兰 

机构地区：[1]盐城工学院数理学院,江苏 盐城

出　　处：《理论数学》2024年第3期158-163,共6页Pure Mathematics

摘　　要：结合广义逆矩阵的定义和性质,利用矩阵的元素表示其广义逆及左逆和右逆。计算一些具体矩阵的广义逆及左逆和右逆,并比较了这些广义逆的区别。Combined with the definition and properties of the generalized inverse of matrix, the generalized inverses, left inverses and right inverses of a matrix are represented by the elements of the matrix. The generalized inverses, left inverses and right inverses of some special matrices are calculated, and the differences of these generalized inverses are compared.

关 键 词：广义逆 左逆 右逆 Moore-Penrose方程 

分 类 号：O15[理学—数学]