| INVERSE EIGENVALUE PROBLEM OF HERMITIAN GENERALIZED ANTI-HAMILTONIAN MATRICES |
| |
| 作者姓名： | Zhang Zhongzhi Liu ChangrongSchool of Math. Science Central South Univ. Changsha China Dept. of Math. Hunan City Univ. Yiyang China. Faculty of Mathematics and Econometrics Hunan Univ. Changsha China. |
| |
| 作者单位： | Zhang Zhongzhi Liu ChangrongSchool of Math. Science，Central South Univ.，Changsha 410083，China; Dept. of Math.，Hunan City Univ.，Yiyang 413000，China. Faculty of Mathematics and Econometrics，Hunan Univ.，Changsha 410082，China. |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China( 1 0 1 71 0 3) |
| |
| 摘 要： | §1 IntroductionWe considerthe following inverse eigenvalue problem offinding an n-by-n matrix A∈S such thatAxi =λixi,i =1,2 ,...,m,where S is a given set of n-by-n matrices,x1 ,...,xm(m≤n) are given n-vectors andλ1 ,...,λmare given constants.Let X=(x1 ,...,xm) ,Λ=(λ1 ,λ2 ,...,λm) ,then the above inverse eigenvalue problemcan be written as followsProblem Given X∈Cn×m,Λ=(λ1 ,...,λm) ,find A∈S such thatAX =XΛ,where S is a given matrix set.We also discuss the so-called opti…
|
INVERSE EIGENVALUE PROBLEM OF HERMITIAN GENERALIZED ANTI-HAMILTONIAN MATRICES |
| |
| Zhang Zhongzhi Liu ChangrongSchool of Math. Science,Central South Univ.,Changsha ,China, Dept. of Math.,Hunan City Univ.,Yiyang ,China. Faculty of Mathematics and Econometrics,Hunan Univ.,Changsha ,China..INVERSE EIGENVALUE PROBLEM OF HERMITIAN GENERALIZED ANTI-HAMILTONIAN MATRICES[J].Applied Mathematics A Journal of Chinese Universities,2004(3). |
| |
| Authors: | Zhang Zhongzhi Liu ChangrongSchool of Math Science Central South Univ Changsha China Dept of Math Hunan City Univ Yiyang China Faculty of Mathematics and Econometrics Hunan Univ Changsha China |
| |
| Institution: | Zhang Zhongzhi Liu ChangrongSchool of Math. Science,Central South Univ.,Changsha 410083,China, Dept. of Math.,Hunan City Univ.,Yiyang 413000,China. Faculty of Mathematics and Econometrics,Hunan Univ.,Changsha 410082,China. |
| |
| Abstract: | In this paper, the inverse eigenvalue problem of Hermitian generalized anti Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for inverse eigenvalue problem and an expression of the general solution of the problem are derived. The solution of the relevant optimal approximate problem is given. |
| |
| Keywords: | Hermitian generalized anti-Hamiltonian matrix inverse eigenvalue problem optimal approxmation |
| 本文献已被 CNKI 等数据库收录！ |
|
