In this paper, the concept of the s-doubly diagonally dominant matrices is introduced and the properties of these matrices are discussed. With the properties of the s-doubly diagonally dominant matrices and the proper...In this paper, the concept of the s-doubly diagonally dominant matrices is introduced and the properties of these matrices are discussed. With the properties of the s-doubly diagonally dominant matrices and the properties of comparison matrices, some equivalent conditions for H-matrices are presented. These conditions generalize and improve existing results about the equivalent conditions for H-matrices. Applications and examples using these new equivalent conditions are also presented, and a new inclusion region of k-multiple eigenvalues of matrices is obtained. MR Subject Classification 15A06 - 15A57 - 65F05 Keywords H-matrix - S-doubly diagonally dominant matrix - Gauss transform - Schur complement Supported by the National Natural Science Foundation of China (19971065).展开更多
In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for ...In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for inverse eigenvalue problem and an expression of the general solution of the problem are derived. The solution of the relevant optimal approximate problem is given. MR Subject Classification 15A57 Keywords Hermitian generalized anti-Hamiltonian matrix - inverse eigenvalue problem - optimal approxmation Supported by the National Natural Science Foundation of China (1017103).展开更多
基金Supported by the National Natural Science Foundation of China( 1 9971 0 65 )
文摘In this paper, the concept of the s-doubly diagonally dominant matrices is introduced and the properties of these matrices are discussed. With the properties of the s-doubly diagonally dominant matrices and the properties of comparison matrices, some equivalent conditions for H-matrices are presented. These conditions generalize and improve existing results about the equivalent conditions for H-matrices. Applications and examples using these new equivalent conditions are also presented, and a new inclusion region of k-multiple eigenvalues of matrices is obtained. MR Subject Classification 15A06 - 15A57 - 65F05 Keywords H-matrix - S-doubly diagonally dominant matrix - Gauss transform - Schur complement Supported by the National Natural Science Foundation of China (19971065).
基金Supported by the National Natural Science Foundation of China( 1 0 1 71 0 3)
文摘In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for inverse eigenvalue problem and an expression of the general solution of the problem are derived. The solution of the relevant optimal approximate problem is given. MR Subject Classification 15A57 Keywords Hermitian generalized anti-Hamiltonian matrix - inverse eigenvalue problem - optimal approxmation Supported by the National Natural Science Foundation of China (1017103).
