On Schur complements of doubly diagonally dominant matrices and H-matrices
نویسندگان
چکیده
Given a matrix family, it is interesting to know whether some important properties or structures of the class of matrices are inherited by their submatrices or by the matrices associated with the original matrices. It is known that the principal submatrices and the Schur complements of positive semidefinite matrices are positive semidefinite matrices; the same is true of M-matrices, H-matrices, diagonally dominant matrices, doubly diagonally dominant matrices, and of inverse M-matrices (see [1-6]). J. Liu, Y. Huang [5] consider the
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The Schur complements of generalized doubly diagonally dominant matrices
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