马氏矩阵反演的算子证明(英文)

The operator proof of Ma's matrix inverse

为了给出拉格朗日反演的统一性方法,Krattenthaler提出了算子方法并找到一对普遍的反演关系:Krattenthaler公式. 马欣荣建立了一个新的普遍性的矩阵反演:马氏矩阵反演,使Krattenlhaler公式和Warnaar公式成为其特例.本文将利用Krattenthaler算子方法给出这个普遍性矩阵反演在具体形式下的算子法证明.

With an effort to investigate a unified approach to the famous Lagrange inverse,Krattenthaler put forward one kind of operator method and finally found a general pair of inverse relations named Krattenthaler formula. Recently, Ma set up a new unified matrix inversion containing Krattenthaler s and Warnaar s formula as special cases. The present paper reproof Ma's matrix inverse via Krattenthaler s operator method.