【摘要】 通过研究拟自反矩阵的逆特征值问题及其最佳逼近问题,建立了拟自反矩阵逆特征值问题有解的充要条件,得到了解的一般表达式.进一步,对于任意给定的n阶复矩阵,得到了相关最佳逼近问题解的表达式.更多还原

【Abstract】 The inverse eigenvalue problem of quasi-reflexive matrices and relevant optimal approximation problem are considered.Some necessary and sufficient conditions of the solvability for the inverse eigenvalue problem are given.A general representation of the solution is presented for solvable case.Furthermore,for any given complex matrix of dimension n,an expression of solution for its optimal approximation is presented.更多还原