The Inverse Eigenvalue Problem of a Special Kind of Matrices
Linzhang Lu · Journal of Xiamen University · 2009
Two inverse eigenvalue problems of a special kind of matrices An are discussed in this paper.Problem I is to construct An by the minimal and maximal eigenvalues of its all leading principal submatrices Aj(j=1,2,…,n).Problem II is to construct An by all eigenvalues of its all leading principal submatrices Aj(j=1,2,…,n).The necessary and sufficient conditions for the solvability of the two problems are derived,respectively,and results are constructive.Furthermore,corresponding numerical algorithms and examples are given,numerical results show good efficient of the algorithms.