DLU三元组矩阵的三类逆二次特征值问题

Three Types of the Quadratic Inverse Eigen-value for the DLU Matrix

给出了DLU三元组矩阵的二次特征多项式的表达式,就n 5研究了三类逆二次特征值问题,利用广义逆矩阵理论和线性代数基本理论得到了问题有解的条件和解的表达式.数值实验说明了算法的有效性.

The expression of quadratic eigen-polynomial is given for n×n DLU matrix： The existence and expression of the solutions for three types of the quadratic inverse eigen-value problem were obtained by the Moore-Penrose inverse matrix and the element linear algebra theorem for n = 5. The numerical experiment shows the algorithm is effective.