Abstract: On the base of generalized Z-matrix and M-matrix's theory, the idea of H-matrix was defined continually by giving the concepts of comparable matrix for vertical block matrix. Some properties of generalized H-matrix were analyzed from different aspects, such as diagonally dominant and the relationship between H-matrix and generalized Z-matrix as well as M-matrix, diagonally dominant and characteristic value, etc. and some necessary and sufficient conditions were given. Researching generalized H-matrix, does good to the research of M-matrix, H-matrix and steady property, which offers better theory for solving generalized linear complementary problem, meanwhile, can also be applied in some irrelative fields, such as balance theory, input-output, etc.
Publication Year: 2005
Publication Date: 2005-01-01
Language: en
Type: article
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