给定部分元素的周期Jacobi矩阵的特征对反问题
Inverse Eigen Pairs Problems For Periodic Jacobian Matrices From Some Elements
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摘要: 提出由一个极端特征对构造拥有预先给定的部分元素的周期Jacobi矩阵问题,给出了问题有唯一解的充分必要条件,且给出了数值算法和例子.Abstract: This paper presents an inverse eigen pairs problems for periodic Jacokian matrices from some elements.Some necessry and sufficient conditions for the existence of the problems′ solution is given.A numerical algorithm is provided.