6 research outputs found
A continuation method for tensor complementarity problems
We introduce a Kojima-Megiddo-Mizuno type continuation method for solving
tensor complementarity problems. We show that there exists a bounded
continuation trajectory when the tensor is strictly semi-positive and any limit
point tracing the trajectory gives a solution of the tensor complementarity
problem. Moreover, when the tensor is strong strictly semi-positive, tracing
the trajectory will converge to the unique solution. Some numerical results are
given to illustrate the effectiveness of the method.Comment: 15 pages, 4 table