Inverse eigenvalue problems for a class of special matrices. (Chinese. English summary) Zbl 1449.65087
Summary: In this paper, we study two inverse eigenvalue problems of a class of matrix \(A\) with special form. By using the properties of arrow matrix and Jacobi matrix, we transform the inverse eigenvalue problem of this kind of matrix into a system of linear equations. The necessary and suficient conditions for the problem to have a unique solution are obtained, and the expressions of the understanding and the corresponding numerical examples are given, which is a generalization of the inverse eigenvalue problem of the arrow shaped matrix and the Jacobi matrix.
MSC:
65F18 | Numerical solutions to inverse eigenvalue problems |