Sign-Solvable Cone-Systems |
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| Authors: | Si-Ju Kim Bryan Shader |
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| Institution: | 1. Andong National University , Andong, South Korea;2. Department of Mathematics , University of Wyoming , Laramie, WY, 82071, USA |
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| Abstract: | Qualitative properties shared by the solutions to the family of linear equations of the form $$Ax=b, \quad (A\in C, b \in B),\eqno(1)$$ where C is a cone in ${\shadR}^{m\times n}$ and B is a cone in ${\shadR}^m$ 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 ε C and b ε B are characterized. |
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| Keywords: | Qualitative Matrix Theory Sign-Solvability Linear Systems |
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