摘要
利用矩阵的广义奇异值分解定理,得到了矩阵方程AHXA=B存在Hermite广义Hamilton解的充分必要条件,并在有解时得到了通解的表达式,同时得到了相应解集中与已知矩阵最佳逼近的Hermite广义Hamilton解和最小范数解.
Applying the generalized singular value decomposition of matrices,the necessary and sufficient conditions for the existence and the expression for the Hermite generalized Hamiltonian solutions of the matrix equation AHXA=Bwas derived.In addition,in Hermite generalized Hamiltonian solutions set of the equation,the expressions of the optimal approximation solutions and of the minimum norm solutions to the given matrix was obtained.
出处
《高师理科学刊》
2010年第3期6-9,共4页
Journal of Science of Teachers＇College and University
基金
云南省教育厅科研基金项目(09C0206)
红河学院博
硕启动项目(XSS08012)
