严格对角占优周期三对角矩阵逆元素的上下界估计

Estimates for the Upper and Lower Bounds on the Inverse Elements of Strictly Diagonally Dominant Periodic Tridiagonal Matrices

严格对角占优三对角矩阵及周期三对角矩阵在理论和实际应用中起着很重要的作用,特别是在利用有限差分方法、三次样条插值、三次差分方程等方法研究边界值问题中具有重要作用。本文给出了严格对角占优周期三对角矩阵逆元素上界和下界的估计,改进了一些学者近期的研究结果。

Strictly diagonally dominant tridiagonal and periodic tridiagonal matrices play vital roles in the theory and practical applications especially, it is very important for studying the boundary value problems by finite difference methods, interpolation by cubic splines, three-term difference equations and so on. In this paper, we give the estimates for the upper and lower bounds on the inverse elements of strictly diagonally dominant periodic tridiagonal matrices, and improve the latest findings.