摘要
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).
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 9971 0 65 )
