This paper considers the problem of constructing a Jacobi matrix from its defec tive eigen-pair and a principal submatrix. Some necessary and sufficient conditions of solvability have been derived. An algorithm and tw...This paper considers the problem of constructing a Jacobi matrix from its defec tive eigen-pair and a principal submatrix. Some necessary and sufficient conditions of solvability have been derived. An algorithm and two numerical examples have been given.展开更多
The general expressions of least-squares solution and its optimal approximation solution of inverse problem for one kind of symmetrizable matrices is given. The necessary and sufficient conditions for the solvability ...The general expressions of least-squares solution and its optimal approximation solution of inverse problem for one kind of symmetrizable matrices is given. The necessary and sufficient conditions for the solvability and the general solution of inverse eigenvalue problem for this kind of symmetrizable matrices are obtained.展开更多
文摘This paper considers the problem of constructing a Jacobi matrix from its defec tive eigen-pair and a principal submatrix. Some necessary and sufficient conditions of solvability have been derived. An algorithm and two numerical examples have been given.
文摘The general expressions of least-squares solution and its optimal approximation solution of inverse problem for one kind of symmetrizable matrices is given. The necessary and sufficient conditions for the solvability and the general solution of inverse eigenvalue problem for this kind of symmetrizable matrices are obtained.
