Abstract: 　     If A∈ R^n×n is a L-mat rix , and A isn't a diagonally dominant matrix , then some properties of the quasi diagonallydominant matrix with chain of non -zero elements were given.Examples illustrate that some special properties of the diagonallydominant matrix with chain of non -zero elements probably doesn't come into existence for quasidiagonally dominant matrixwith chain of non -zero elements .

Key words: 　Quasi diagonally dominant matrix with chain of non -zero elements,    , Comparison matrix,    , Principal minor

摘要： 　    在假设A ∈ R^{n ×n} 是一个L -矩阵, 且A 不是对角矩阵的前提下, 给出了矩阵A 为拟具非零元素链对角占优矩阵时的若干性质, 并举例说明了具非零元素链对角占优矩阵所具有的个别性质对拟具非零元素链对角占优矩阵已经不再成立。

关键词: 拟具非零元素链对角占优矩阵, 　比较矩阵, 　主子式