A New Computational Algorithm for Solving Periodic Sevendiagonal Linear Systems

摘要

Many issues in engineering computation and practical application that ultimately boil down to a matrix computation. And different applications will lead to some of the special sparse structure of the matrix computation. A modified chasing method has been proposed to solve the sevendiagonal linear equations in this paper firstly. By using this method, the condition that each principal minor sequence of coefficient matrix must nonzero is unnecessary. At the same time, we present a new computational algorithm for solving periodic sevendiagonal linear systems. An example is given in order to illustrate the algorithm.