Inverse Eigenproblem of Generalized Jacobi Mathix
Feng Li-chao · Mathematica Applicata · 2008
The paper mainly discusses the generalized Jacobi matrix and its inverse eigenproblem giving some eigen pairs.Generalized Jacobi matrix can be transformed to real tridiagonal symmetric matrix by similar transformation,keeping eigenvalues unchanged and eigenvectors only for linear transformation.Then the necessary and sufficient conditions that the elements of generalized Jacobi matrix are unique can be obtained through the predecessors' theories,moreover,ai,|bi|,|ci|'s specific expressions are gained.