论文标题
多项式变异不等式的正则差距函数的误差范围
Error bounds of regularized gap functions for polynomial variational inequalities
论文作者
论文摘要
本文致力于为多项式变异不平等的正则差距函数的新误差界定，其指数由基础空间的维度以及所涉及多项式的数量/程度明确确定。开发的技术主要基于变异分析和半几何形状，这使我们能够建立对具有明确计算的指数的正规间隙函数的精液gojasiewicz的梯度不平等的非平滑延伸。
This paper is devoted to present new error bounds of regularized gap functions for polynomial variational inequalities with exponents explicitly determined by the dimension of the underlying space and the number/degree of the involved polynomials. The developed techniques are largely based on variational analysis and semialgebraic geometry, which allow us to establish a nonsmooth extension of the seminal Łojasiewicz's gradient inequality to regularized gap functions with explicitly calculated exponents.
