Sign-Solvable Cone-Systems

Author: Kim S-J.  

Publisher: Taylor & Francis Ltd

ISSN: 0308-1087

Source: Linear and Multilinear Algebra, Vol.50, Iss.1, 2002-03, pp. : 23-32

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Abstract

Qualitative properties shared by the solutions to the family of linear equations of the form $$Ax=b, quad (Ain C, b in B),eqno(1)$$ where C is a cone in ${shadR}ˆ{mtimes n}$ and B is a cone in ${shadR}ˆm$ are studied. In particular, the cones C and B for which the sign patterns of the solutions to (1) are independent of the choice of A isin C and b isin B are characterized.