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直无限Exchange环上的稳定秩条件
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作者 陈淼森 陈焕艮 《浙江师范大学学报(自然科学版)》 CAS 2003年第3期217-221,共5页
如果R是广义稳定环,则对任意正整数n,M_n(R)也是广义稳定环。设R是广义稳定Exchange环,则对任意正则的A∈M_n(R),存在P,Q∈K(M_n(R)),使得PAQ是对角阵,特别地,设R是Exchange环,I是R的理想,如果R有稳定秩为1,那么每个I上的正则方阵可以... 如果R是广义稳定环,则对任意正整数n,M_n(R)也是广义稳定环。设R是广义稳定Exchange环,则对任意正则的A∈M_n(R),存在P,Q∈K(M_n(R)),使得PAQ是对角阵,特别地,设R是Exchange环,I是R的理想,如果R有稳定秩为1,那么每个I上的正则方阵可以对角化。 展开更多
关键词 直无限Exchange环 稳定秩 广义稳定环 EXCHANGE环 结合环 正则方阵
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Double-Epoch Algorithm in Rapid Positioning Using Single Frequency GPS Receivers
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作者 WANGZhenjie OUJikun +1 位作者 LIUGenyou RENChao 《Geo-Spatial Information Science》 2004年第4期284-289,共6页
A new algorithm, called as Double-Epoch Algorithm CDEA) is proposed in GPSrapid positioning using two epoch single frequency phase data in this paper. Firstly, the structurecharacteristic of the normal matrix in GPS r... A new algorithm, called as Double-Epoch Algorithm CDEA) is proposed in GPSrapid positioning using two epoch single frequency phase data in this paper. Firstly, the structurecharacteristic of the normal matrix in GPS rapid positioning is analyzed. Then, in the light of thecharacteristic, based on TIK-HONOV regularization theorem, a new regularizer is designed to mitigatethe ill-condition of the normal matrix. The accurate float ambiguity solutions and their MSEM (MeanSquared Error Matrix) are obtained, u-sing two epoch single frequency phase data. Combined withLAMBDA method, DEA can fix the integer ambiguities correctly and quickly using MSEM instead of thecovariance matrix of the ambiguities. Compared with the traditional methods, DEA can improve theefficiency obviously in rapid positioning. So, the new algorithm has an extensive applicationoutlook in deformation monitoring, pseudokinematic relative positioning and attitude determination,etc. 展开更多
关键词 GPS rapid positioning DEA ILL-CONDITION regularizer mean squared errormatrix AMBIGUITY
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