【摘要】 马欣荣建立了最广泛的一对矩阵反演(f,g)-反演,它取决于所给的一对函数f(x,y)、g(x,y),对(?)a,b,c,是否满足方程g(a,b)f(x,c)-g(a,c)f(x,b)+g(b,c)f(x,a)=0,并给出了该反演的算子法证明.文章就(f,g)-反演给出了较简单、易于理解的数学归纳法证明.更多还原

【Abstract】 Ma Xin-rong has set up the most extensive matrix inversion(f,g)-inversion.A characterization of the two funcfions f(x,y)and g(x,y)in the(f,g)inversion is g(a,b)f(x,c)-g(a,c)f(x,b)+g(b,c)f(x,a)=0 for (?)a,b,c. The main purpose of this paper is to prove the(f,g)-inversion by mathematical induction,which is more comprehen- sible than Ma’s operator method.更多还原