This paper discusses problem IEP:Given n×m matrix X and m×m diagonal matrix A, find an n×n matrix A such that AX=XA.The new solvablily conditions for the problem IEP are obtained. The eigenvalue dislrib...This paper discusses problem IEP:Given n×m matrix X and m×m diagonal matrix A, find an n×n matrix A such that AX=XA.The new solvablily conditions for the problem IEP are obtained. The eigenvalue dislribulaion of the solutions for the problem IEP are described in detail.展开更多
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
文摘This paper discusses problem IEP:Given n×m matrix X and m×m diagonal matrix A, find an n×n matrix A such that AX=XA.The new solvablily conditions for the problem IEP are obtained. The eigenvalue dislribulaion of the solutions for the problem IEP are described in detail.
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.
