一类双对称三对角阵向量对反问题

A Class of Inverse Problem of Vector Pairs for Bisymmetric Tridiagonal Matrix

引入双对称不可约三对角矩阵向量对反问题,通过给定的3个2m+1维向量对,利用线性方程组有解的条件,得到了所研究问题有解或有唯一解的充要条件,并给出了数值例子。

The inverse problem duced,by using the conditions of vector pairs for bisymmetric for the solvability of the linear irreducible tridiagonal matrix is intro- equation systems, some necessary and sufficient conditions under which there exists solutions or unique solutions for the discussed problem are obtained with given three 2m ＋ 1 vector pairs, furthermore numerical experiment is presented.