摘要
考虑如下问题 :问题P 给定G∈Rn×m,设X∈Rn×k,B∈Rm×k,求A∈GRm×n≥O ,使得AX =B其中 ,GRm×n≥O ={A∈Rm×n|GA∈Rn×n≥O}。本文讨论了问题P有解的充分必要条件 ,并在有解的情况下 。
The following problem is considered: Problem P Given G∈R n×m ,and Let X∈R n×k ,B∈R m×k ,find A∈GR m×n ≥O such that AX=B where GR m×n ≥O ={A∈R m×n |GA∈R n×n ≥O }The necessary and sufficient conditions for the problem P having a solution are discussed.The expressions for the general solutions of the problem P are given.
出处
《华东船舶工业学院学报》
2002年第4期67-70,共4页
Journal of East China Shipbuilding Institute(Natural Science Edition)