Hidden Z-Matrices with Positive Principal Minors.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Let C denote the class of hidden Z-matrices, i.e., M an element of C if and only if there exist Z-matrices X and Y such that the following two conditions are satisfied MX Y and rTransposeX sTransposeY 0 for some r,s or 0. Let P denote the class of real square matrices having positive principal minors. The class C arises recently as a generalization of the class of Z-matrices. In this paper, various matrix-theoretic aspects of the class C intersecting with P are examined.
- Theoretical Mathematics