A Novel Learning Algorithm in Hardy Space for Dirichlet Problems
The purpose of this paper is to present a new Hardy space approach of Dirichlet type problem.This reduces to a simple extremal problem when considering Hardy space of upper-high complex plane.An efficient discrete algorithm is proposed with the help of reproducing kernel to the Tikhonov regularization.Moreover,from the energy minimization point of view,harmonic maps describe the intrinsic mapping between different metric manifolds.Especially,for two planer region in R2,the harmonic map,i.e.the harmonic function,always exists.The above properties imply that the harmonic map is a well-behaved mapping and it is possible to be applied in planer shape distortion.
Tikhonov regularization Hardy space Dirichlet problem Reproducing kernels
Zhulin Liu C. L. Philip Chen
University of Macau Faculty of Science and Technology Taipa,Macao,China
国内会议
福州
英文
1-5
2015-12-11（万方平台首次上网日期，不代表论文的发表时间）