【摘要】 M-矩阵是可以分解为sI-B这种形式的矩阵,其中B是一个非负矩阵,s≥ρ(B)。M-矩阵在科学研究中有着各种应用,在计算数学和矩阵论的研究中非常重要。文章给出了非奇异M-矩阵的新的判定算法,并用相应的数值实例说明了这个结果的有效性。更多还原

【Abstract】 M-matrix can be decomposed into the form of sI-B,which B is a non-negative matrix.It has a wide variety of applications in scientific research,and it is also very important in the calculation of the studying on mathematics and matrix theory.A new judging criterion for M-matrices is presented.And by using the corresponding numerical example shows the validity of this result.更多还原