两类箭形线性方程组的矩阵分解算法  

The Matrix Decomposition Algorithm of Two Kinds of Arrow System of Linear Equations

作　　者：蔡静[1] 高寿兰[1] CAI Jing;GAO Shoulan(School of Science,Huzhou University,Huzhou 313000,China)

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2023年第2期1-7,共7页Journal of Huzhou University

基　　金：国家自然科学基金项目(11971315);教育部高校特色专业建设点(教高函〔2008121号〕).

摘　　要：利用箭形矩阵的结构特点,基于矩阵分解技术,给出两类箭形矩阵的三角分解,并在此基础上建立两类箭形线性方程组的直接算法,经数值算例验证,该算法有效可行.Arrow matrix is a kind of special structure matrix.It is widely used in network,automation theory,difference equation and logic circuit.In this paper,based on the structure of arrow matrix and matrix decomposition technique,triangular decomposition of two kinds of arrow matrix is given,and the direct algorithm of two kinds of arrow system of linear equations is established.Numerical examples show that the algorithm is effective and feasible.

关 键 词：箭形矩阵 矩阵分解 三角分解 直接算法 

分 类 号：O241.6[理学—计算数学]