具有特殊结构的最小二乘广义逆

摘要

Least square generalized inverse was investigated by using the expressions of maximal and minimal ranks of generalized Schur complement .Some formulas for the extremal rank of expressions of submatrices of Least square generalized inverse are derived ,and necessary and sufficient conditions are given for the existence of Least square generalized inverse with special structure .%利用矩阵广义Schur补的极大极小秩表达式研究了矩阵的最小二乘广义逆，给出关于最小二乘广义逆的子矩阵表达式的极秩公式，并且得出具有某些特殊结构的最小二乘广义逆存在的充要条件。