一类特殊结构对称矩阵三元组(M、C、K)的逆二次特征问题

On the Quadratic Inverse Eigen-Problem for the Special Triple (M, C, K) of Symmetric Matrix

应用广义逆矩阵理论和线性代数基本理论研究了一类特殊结构对称矩阵三元组(M、C、K)的逆二次特征值问题和逆二次特征对问题,给出了解的存在性和解的表达式,数值算例说明了算法的有效性。

The quadratic inverse eigen-problem was studied for the special triple (M, C, K) of symmetric matrix. The existence and expression of the solution was given by the generation inverse matrix and linear algebra theorem. The numerical experiment shows that the algorithm is effective.