CR-矩阵及其与 M-矩阵的关系

CRMatrices and the Relationship between It and MMatrices

讨论了一类矩阵——ＣＲ－矩阵［１］的性质及ＣＲ－矩阵与Ｍ－矩阵的关系，并应用所得结果研究了Ｍ－矩阵与经济学中的闭Ｌｅｏｎｔｉｅｆ投入—产出模型，得到了一些有价值的结果。

In this paper, a class of matrices A∈Rn×n to be written as A=-D-1KD is studied, where K is a compartmental matrix and Dis positive diagonal. This kind of matrix is called CRmatrix. Firstly, the relationship between CRmatrices and Mmatrices, and properties of CRmatrices are discussed. Then takes the results to study Mmatrices and Leontief inputoutputmodel in economics, gains some useful results.