A Numerical Method for Determining the Eigenvalues and Eigenvectors of Hermitian Matrices in The Real Operation
Many practical problems in mathematics, quantum mechanics and engineering lead to the eigenvalue problem of a Hermitian matrix. On the basis of 2, a new numerical method for finding all the eigenvalues and eigenvectors of Hermitian matrix is presented in this paper by means of the properties of its characteristic equation and determinant and Newton method of finding non-linear equations. This method has the advantage of keeping away from the complex operations and having good effect in computing the solution of the eigenproblem of Hermitian matrix.
Eigenvalues Hermitian Real operation
Zhi-Hai Zhang Xi-juan Lou Pei-lin Pang
Department of Mathematics, Hebei Universtiy of Engineering, Handan 056038,China Department of Mathematics, Handan College, Handan 056005, China
国际会议
The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)
杭州
英文
122-125
2009-07-09（万方平台首次上网日期，不代表论文的发表时间）