Two Eigenvector Theorems  

作　　者：Raghuram Prasad Dasaradhi V. V. Haragopal Raghuram Prasad Dasaradhi;V. V. Haragopal(Department of Mathematics, Osmania University, Hyderabad, India;Department of Statistics, Osmania University, Hyderabad, India)

机构地区：[1]Department of Mathematics, Osmania University, Hyderabad, India [2]Department of Statistics, Osmania University, Hyderabad, India

出　　处：《Advances in Linear Algebra & Matrix Theory》2016年第1期11-16,共6页线性代数与矩阵理论研究进展（英文）

摘　　要：In this paper, we established a connection between a square matrix “A” of order “n” and a matrix  defined through a new approach of the recursion relation . (where  is any column matrix with n real elements). Now the new matrix  gives us a characteristic equation of matrix A and we can find the exact determination of Eigenvalues and its Eigenvectors of the matrix A. This new approach was invented by using Two eigenvector theorems along with some examples. In the subsequent paper we apply this approach by considering some examples on this invention.In this paper, we established a connection between a square matrix “A” of order “n” and a matrix  defined through a new approach of the recursion relation . (where  is any column matrix with n real elements). Now the new matrix  gives us a characteristic equation of matrix A and we can find the exact determination of Eigenvalues and its Eigenvectors of the matrix A. This new approach was invented by using Two eigenvector theorems along with some examples. In the subsequent paper we apply this approach by considering some examples on this invention.

关 键 词：Characteristic Equation Minimal Polynomial EIGENVALUES EIGENVECTORS Vander Monde Matrix Jacobi Block Matrix 

分 类 号：O17[理学—数学]