Diagonal dominance characterization of PM-and PH-matrices |
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| Authors: | L. Yu. Kolotilina |
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| Affiliation: | (2) Technion – Israel Institute of Technology, Haifa, Israel;(3) Emek Yezreel College, Emek Yezreel, Israel; |
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| Abstract: | The paper presents new bounds for the inverses of the so-called PM- and PH-matrices. Also bounds for the spectral radii of the inverses to PM- and PH-matrices are obtained, and the monotonicity of these bounds with respect to the underlying partition of the index set is established. Finally, the so-called quasi-PM- and quasi-PH-matrices are introduced, and bounds for the inverses of such matrices are suggested. Bibliography: 10 titles. |
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