线性流形上D-对称矩阵的反问题

The Inverse Problem of D-Symmetric Matrices on The Linear Manifold

通过利用数值线性代数的系列工具——矩阵的奇异值分解(SVD),广义奇异值分解(GSVD),矩阵的广义逆等,解决了线性流形上的D-对称矩阵的反问题.最后给出了具体的例子作为说明,表明这个算法的可靠性.

By using of a series of methods in numerical linear algebra,such as the singular value decomposition（SVD） and the generalized singular value decomposition（GSVD）,the linear manifold and so on,we have solved the inverse problem of D-Symmetric Matrices on the linear manifold.Finally,a numerical experiment is given.