双反对称矩阵广义逆特征值问题

Generalized Inverse Eigenvalue Problem of Bi-antisymmetric Matrix

矩阵逆特征值问题广泛应用于自动控制、经济、振动理论以及土木工程等,讨论了双反对称矩阵广义逆特征值问题及其最佳逼近,得到了通解表达式和最佳逼近解,并给出了算法和数值实例．

Inverse problems of matrix have been widely used in automatic control, economy, vibration theory and civil engineering. In this paper generalized inverse eigenvalue problems of bi-anti-symmetric matrix and optimal approximation are discussed; the expression of general solution and optimal approximation solution are attained, and an arithmetic and a numerical examples are given.