AbstractWe derive necessary and sufficient conditions for the existence and an expression of the (anti)reflexive solution with respect to the nontrivial generalized reflection matrix P to the system of complex matrix equations AX = B and XC = D. The explicit solutions of the approximation problem $$mathop {min }limits_{X in phi } $$ ‖X − E‖F was given, where E is a given complex matrix and ϕ is the set of all reflexive (or antireflexive) solutions of the system mentioned above, and ‖·‖ is the Frobenius norm. Furthermore, it was pointed that some results in a recent paper are special cases of this paper.
{"title":"Reflexive solution to a system of matrix equations","authors":"Haixia Chang, Qingwen Wang","doi":"10.1155/2015/464385","DOIUrl":"https://doi.org/10.1155/2015/464385","url":null,"abstract":"AbstractWe derive necessary and sufficient conditions for the existence and an expression of the (anti)reflexive solution with respect to the nontrivial generalized reflection matrix P to the system of complex matrix equations AX = B and XC = D. The explicit solutions of the approximation problem \u0000$$mathop {min }limits_{X in phi } $$\u0000 ‖X − E‖F was given, where E is a given complex matrix and ϕ is the set of all reflexive (or antireflexive) solutions of the system mentioned above, and ‖·‖ is the Frobenius norm. Furthermore, it was pointed that some results in a recent paper are special cases of this paper.","PeriodicalId":169010,"journal":{"name":"Journal of Shanghai University (English Edition)","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125040151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-12-11DOI: 10.1007/S11741-011-0784-2
Weiwei Liu, Haijun Li, Zhao-dong Wang, Guo-dong Wang
{"title":"Mathematical model for cooling process and its self-learning applied in hot rolling mill","authors":"Weiwei Liu, Haijun Li, Zhao-dong Wang, Guo-dong Wang","doi":"10.1007/S11741-011-0784-2","DOIUrl":"https://doi.org/10.1007/S11741-011-0784-2","url":null,"abstract":"","PeriodicalId":169010,"journal":{"name":"Journal of Shanghai University (English Edition)","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117007414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-12-11DOI: 10.1007/S11741-011-0778-1
Xiaoxiao Wang, Mei Li
{"title":"Generating functions for powers of second-order recurrence sequences","authors":"Xiaoxiao Wang, Mei Li","doi":"10.1007/S11741-011-0778-1","DOIUrl":"https://doi.org/10.1007/S11741-011-0778-1","url":null,"abstract":"","PeriodicalId":169010,"journal":{"name":"Journal of Shanghai University (English Edition)","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117249344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-12-11DOI: 10.1007/S11741-011-0787-2
Bing-ying Ye, Y. Ruan, Yong Yang, M. Zhao, Yanan Tang
{"title":"Direct driven wind energy conversion system based on hybrid excitation synchronous machine","authors":"Bing-ying Ye, Y. Ruan, Yong Yang, M. Zhao, Yanan Tang","doi":"10.1007/S11741-011-0787-2","DOIUrl":"https://doi.org/10.1007/S11741-011-0787-2","url":null,"abstract":"","PeriodicalId":169010,"journal":{"name":"Journal of Shanghai University (English Edition)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131035979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-12-11DOI: 10.1007/S11741-011-0779-3
Shu Jiang, Hao Wan, Shen Shao, Yi Yuan
{"title":"Decomposition analysis of carbon reduction measures and carbon emission changes in five areas in China","authors":"Shu Jiang, Hao Wan, Shen Shao, Yi Yuan","doi":"10.1007/S11741-011-0779-3","DOIUrl":"https://doi.org/10.1007/S11741-011-0779-3","url":null,"abstract":"","PeriodicalId":169010,"journal":{"name":"Journal of Shanghai University (English Edition)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131066624","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-12-11DOI: 10.1007/S11741-011-0780-3
Fang Zhong, P. Ji
{"title":"Spin-orbit coupling modification of photons to ray equation in inhomogeneous medium","authors":"Fang Zhong, P. Ji","doi":"10.1007/S11741-011-0780-3","DOIUrl":"https://doi.org/10.1007/S11741-011-0780-3","url":null,"abstract":"","PeriodicalId":169010,"journal":{"name":"Journal of Shanghai University (English Edition)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117140738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-12-11DOI: 10.1007/S11741-011-0774-1
Wen-Huan Wang, Li-ying Kang
{"title":"Results on energies for trees with a given diameter having perfect matching","authors":"Wen-Huan Wang, Li-ying Kang","doi":"10.1007/S11741-011-0774-1","DOIUrl":"https://doi.org/10.1007/S11741-011-0774-1","url":null,"abstract":"","PeriodicalId":169010,"journal":{"name":"Journal of Shanghai University (English Edition)","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134378226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-12-11DOI: 10.1007/S11741-011-0788-2
Junhua Liang, Yang Liu, Wenjun Zhang
{"title":"Joint compressive spectrum sensing scheme in wideband cognitive radio networks","authors":"Junhua Liang, Yang Liu, Wenjun Zhang","doi":"10.1007/S11741-011-0788-2","DOIUrl":"https://doi.org/10.1007/S11741-011-0788-2","url":null,"abstract":"","PeriodicalId":169010,"journal":{"name":"Journal of Shanghai University (English Edition)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121201429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2011-12-11DOI: 10.1007/S11741-011-0781-3
Yong Jiang, Yingyu Gu, Qiuhong Yang, E. Kim
{"title":"Effects of La3+ on microwave dielectric properties of (Pb0.5Ca0.5)(Fe0.5Ta0.5)O3 ceramics","authors":"Yong Jiang, Yingyu Gu, Qiuhong Yang, E. Kim","doi":"10.1007/S11741-011-0781-3","DOIUrl":"https://doi.org/10.1007/S11741-011-0781-3","url":null,"abstract":"","PeriodicalId":169010,"journal":{"name":"Journal of Shanghai University (English Edition)","volume":"1810 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129691165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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