求解循环块五对角线性方程组的一种方法
A Method for Solving Cyclic Block Penta-diagonal Systems of Linear Equations
AI总结：
本文通过引入两个新变量将循环块五对角系统分解为三个块五对角系统，利用已知的直接无选主元方法求解，从而推广了循环块三对角系统的解法。
摘要：
一种求解循环块三对角方程组的方法被推广用于求解块循环五对角方程组。通过引入两个新变量的特殊形式，原始系统被分解为三个块五对角系统，这些系统可以用已知方法求解。该方法属于无选主元的直接方法类。详细讨论了算法的实现，并给出了数值例子。
英文摘要：
A method for solving cyclic block three-diagonal systems of equations is generalized for solving a block cyclic penta-diagonal system of equations. Introducing a special form of two new variables the original system is split into three block pentagonal systems, which can be solved by the known methods. As such method belongs to class of direct methods without pivoting. Implementation of the algorithm is discussed in some details and the numerical examples are present.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
