The Existence and Uniqueness of Solution for Tensor Complementarity Problem and Related Systems
Journal of Optimization Theory and Applications(2021)
摘要
In the paper, we are concerned with the existence and uniqueness of solution for tensor complementarity problem (TCP) and tensor absolute value equations (TAVEs) with special structure. First, we give a sufficient condition of P tensors by using the nonsingularity of the relevant tensors and the properties of eigenvalues. In addition, we give the conditions for the existence and uniqueness of solution for the TCP and prove that the TAVEs with a special structure are equivalent to the TCP. Based on these, using the equivalence relationship with the TCP, some sufficient conditions for the existence and uniqueness of solution for the TAVEs with special structure are given.
更多查看译文
关键词
Tensor complementarity problem,Existence,Uniqueness,Tensor absolute value equations,Nonsingularity
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要