北京师范大学学报（自然科学版）2017，Vol.53Issue(6)：631-634,4.DOI:10.16360/j.cnki.jbnuns.2017.06.001
一般多元线性问题的指数收敛(s,t)-弱易处理性
Exponential convergence (s, t)-weak tractability of general multivariate linear problems
摘要
Abstract
The goals of this paper are to study d-variate approximation problems in the worst case setting and algorithms that use finitely many evaluations of arbitrary linear functionals.For the general multivariate linear problems defined over Hilbert spaces,we provide the matching necessary and sufficient conditions for the problems to be exponential convergence (s,t)-weakly tractable.The results are based on the corresponding nonincreasing eigenvalue sequences.关键词
指数收敛/(s,t)-弱易处理性/多元线性问题/特征值/最坏框架Key words
exponential convergence/(s, t)-weak tractability/multivariate linear problem/eigenvalue/worst case setting分类
数理科学引用本文复制引用
刘永平,许贵桥..一般多元线性问题的指数收敛(s,t)-弱易处理性[J].北京师范大学学报（自然科学版）,2017,53(6):631-634,4.基金项目
国家自然科学基金资助项目(11471043) （11471043）
北京市自然科学基金资助项目(1172004) （1172004）
