It retains the feature of convenient solution to the tri-diagonal matrix equation and can be obtain satisfactory interpolation values the first and second partial derivatives .

它保留了 三 对角 矩阵方程便于求解的特性，并能得到满意的插值、一阶和二阶偏导数。

Hill Cryptosystem with Digital Signature Function Base on General Inverse Eigen-problem for Tri-diagonal Matrix

基于 矩阵广义特征逆问题实现的具有数字签名功能的Hill密码体制

Both in structural analysis and finite element method the solution to the problems of linear equations with tri-diagonal type coefficient matrix or with square element tri-diagonal type coefficient martrix often arise . Methods of elimination and pursuance are well known to solve such problems .

在结构分析及有限元计算中遇到 三对角型系数矩阵线性方程组或方阵元三 对角型系数 矩阵线性方程组的求解问题，解此类问题的消元法、追赶法是众所周知的。

The quartic spline function has two shortcomings : ( 1 ) The continuity equation is not the corresponding tri-diagonal matrix . ( 2 ) The breakpoint of spline function is not in the positions of data points .

四次样条函数的两个缺点：一是连续性方程对应的不是 三 对角 矩阵；二是样条函数的断点不在数据点处。

In this paper we have made improvement to the Hill cryptosystem based on the study of a kind of general inverse eigen-problem for Tri-diagonal matrix then realized an new Hill cryptosystem with the digital signature function .

在研究 矩阵广义特征逆问题的基础上，对 Hill密码体制实施改进，实现了一种具有数字签名功能的Hill密码体制方案，并给出了该方案的详细实现过程。

And a solving method of TDMA ( Tri-diagonal Matrix Algorithm ) and the treatment method of moving boundary for the model are given .

本文建立了 液 滴 蒸发 的 一维数学模型（ 又 称 有限 热 传导 蒸发 模型），并给出了 TDMA追赶法的数值计算过程和移动边界的处理方法。