1 research outputs found
Z-tensors and complementarity problems
Tensors are multidimensional analogs of matrices. In this paper, based on
degree-theoretic ideas, we study homogeneous nonlinear complementarity problems
induced by tensors. By specializing this to -tensors (which are tensors with
non-positive off-diagonal entries), we describe various equivalent conditions
for a -tensor to have the global solvability property. We show by an example
that the global solvability need not imply unique solvability and provide a
sufficient and easily checkable condition for unique solvability.Comment: 12 pages. Some results and proofs are modified, and references are
updated. Concluding remarks are adde