Nonsingular almost strictly sign regular matrices |
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Authors: | Rong Huang Jianzhou Liu Li Zhu |
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Institution: | School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China |
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Abstract: | The class of nonsingular almost strictly totally positive matrices has been characterized M. Gasca, J.M. Peña, Characterizations and decompositions of almost strictly positive matrices, SIAM J. Matrix Anal. Appl. 28 (2006) 1–8]. In this paper, we discuss the class of almost strictly sign regular matrices that includes almost strictly totally positive matrices. A characterization is provided for these matrices in terms of their nontrivial minors using consecutive rows and consecutive columns. In particular, we present a characterization of certain almost strictly sign regular matrices in terms of a very reduced number of boundary almost trivial minors. |
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