摘要
Magnus和Neudecker曾讨论Moore-Penrose广义逆所具有的“乘积化简”和“加减分拆”等若干较好性质。本文推广得到最小二乘广义逆和最小范数广义逆等也具有这些性质,为其进一步应用提供了方便。
Such properties as 'product simplification' and 'disassembly of addition and substraction' were discussed and given by J. R. Magnus and H. Neudecker to the Moore-Penrose inverse. The least-squares and minimum norm g-inverses are proved having the same properties. Maybe they are helpful to finding further applications.
关键词
MP广义逆
矩阵
LS广义逆
LN广义道
MP inverse, least-squares g-inverse, minimum norm g-inverse, reflexive g-inverse.
