五对角矩阵的特征值反问题  

INVERSE EIGENVALUE PROBLEM FOR REAL SYMMETRIC FIVE-DIAGONAL MATRIX

作　　者：钱爱林[1] 吴又胜[1] 

机构地区：[1]咸宁学院数学系,湖北咸宁437005

出　　处：《数值计算与计算机应用》2005年第2期110-117,共8页Journal on Numerical Methods and Computer Applications

摘　　要：本文讨论了一类由五个特征值和相应特征向量构造实对称五对角矩阵的特征值反问题.研究了解的存在性以及存在解的充分必要条件,而且给出了算法和数值例子.In this paper, a kind of inverse eigenvalue problem which is the reconstruction of real symmetric five-diagonal matrix by five eigenvalues and corresponding eigenvectors is proposed. The solvability of the problem is discussed and some sufficient and necessary conditions for existence of solution are given. Furthermore numerical algorithm and some numerical experiments are given.

关 键 词：特征值反问题 对角矩阵 充分必要条件 解的存在性 特征向量 实对称 

分 类 号：O241.6[理学—计算数学]