Solutions of Z-Matrlx Equations'"
نویسندگان
چکیده
We investigate the existence and the nature of the solutions of the matrix equation Ax = b, where A is a Z-matrix and b is a nonnegative vector. When x is required to be nonnegative, then an existence theorem is due to Carlson and Victory and is re-proved in this paper. We apply our results to study nonnegative vectors in the range of Z-matrices.
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