桂林电子科技大学学报2018,Vol.38Issue(6):510-512,3.
求解超对称张量秩-1逼近的BFGS方法
The BFGS method for solving the rank-1 approximation problem of supersymmetric tensors
摘要
Abstract
In order to solve the rank-1 approximation problem of supersymmetric tensors.By making use of symmetric tensor structure features and related matrix theory, the problem is transformed into an equivalent unconstrained optimization problem.Then the gradient expression of unconstrained optimization problem is given and proved.The BFGS method is designed to solve the equivalent problem.Finally, numerical experiments show that this method is feasible.关键词
超对称张量/秩-1逼近/BFGS方法Key words
supersymmetric tensor/rank-1approximation/BFGS method分类
数理科学引用本文复制引用
李娟,段雪峰..求解超对称张量秩-1逼近的BFGS方法[J].桂林电子科技大学学报,2018,38(6):510-512,3.基金项目
国家自然科学基金(11561015) (11561015)
广西杰出青年基金(2016GXNSFFA380009) (2016GXNSFFA380009)
广西自然科学基金(2017GXNSFBA198082) (2017GXNSFBA198082)