It is well known that Tikhonov regularization in standard form may determine approximate solutions that are too smooth for ill-posed problems,so fractional Tikhonov methods have been introduced to remedy this shortcom...It is well known that Tikhonov regularization in standard form may determine approximate solutions that are too smooth for ill-posed problems,so fractional Tikhonov methods have been introduced to remedy this shortcoming.And Tikhonov regularization for large-scale linear ill-posed problems is commonly implemented by determining apartial Arnoldi decomposition of the given matrix.In this paper,we propose a new method to compute an approximate solution of large scale linear discrete ill-posed problems which applies projection fractional Tikhonov regularization in Krylov subspace via Arnoldi process.The projection fractional Tikhonov regularization combines the fractional matrices and orthogonal projection operators.A suitable value of the regularization parameter is determined by the discrepancy principle.Numerical examples with application to image restoration are carried out to examine that the performance of the method.展开更多
为科学揭示体育管理学国际研究热点与演进,选择Journal of Sport Management、European Sport Management Quarterly和Sport Management Review三份代表体育管理学研究的权威期刊,对WoS数据库收录三份期刊自起始年至2018年的1480篇刊文...为科学揭示体育管理学国际研究热点与演进,选择Journal of Sport Management、European Sport Management Quarterly和Sport Management Review三份代表体育管理学研究的权威期刊,对WoS数据库收录三份期刊自起始年至2018年的1480篇刊文进行共词聚类分析和战略坐标分析。计量结果:体育旅游、体育赞助、体育组织间关系、团队认同、联赛中的不确定性是当前研究热点;体育消费者、社区体育与体育政策、广告与体育名人代言、非营利体育组织、兴奋剂预防、体育传播学未来可能突破为热点研究主题;研究理论依据涉及管理学、社会学、经济学、心理学、运筹学等学科;结构方程模型、社会网络分析、元分析、文献分析等研究方法应用突出。启示:提升我国体育管理学科的合法性战略地位;提高研究实用性和指导性;增加体育管理学科理论的包容性。展开更多
基金supported by the National Natural Science Foundations of China(Nos.11571171and 61473148)
文摘It is well known that Tikhonov regularization in standard form may determine approximate solutions that are too smooth for ill-posed problems,so fractional Tikhonov methods have been introduced to remedy this shortcoming.And Tikhonov regularization for large-scale linear ill-posed problems is commonly implemented by determining apartial Arnoldi decomposition of the given matrix.In this paper,we propose a new method to compute an approximate solution of large scale linear discrete ill-posed problems which applies projection fractional Tikhonov regularization in Krylov subspace via Arnoldi process.The projection fractional Tikhonov regularization combines the fractional matrices and orthogonal projection operators.A suitable value of the regularization parameter is determined by the discrepancy principle.Numerical examples with application to image restoration are carried out to examine that the performance of the method.
文摘为科学揭示体育管理学国际研究热点与演进,选择Journal of Sport Management、European Sport Management Quarterly和Sport Management Review三份代表体育管理学研究的权威期刊,对WoS数据库收录三份期刊自起始年至2018年的1480篇刊文进行共词聚类分析和战略坐标分析。计量结果:体育旅游、体育赞助、体育组织间关系、团队认同、联赛中的不确定性是当前研究热点;体育消费者、社区体育与体育政策、广告与体育名人代言、非营利体育组织、兴奋剂预防、体育传播学未来可能突破为热点研究主题;研究理论依据涉及管理学、社会学、经济学、心理学、运筹学等学科;结构方程模型、社会网络分析、元分析、文献分析等研究方法应用突出。启示:提升我国体育管理学科的合法性战略地位;提高研究实用性和指导性;增加体育管理学科理论的包容性。
