In this paper,we investigate the{P,Q,k+1}-reflexive and anti-reflexive solutions to the system of matrix equations AX=C,XB=D and AXB=E.We present the necessary and sufficient conditions for the system men-tioned above...In this paper,we investigate the{P,Q,k+1}-reflexive and anti-reflexive solutions to the system of matrix equations AX=C,XB=D and AXB=E.We present the necessary and sufficient conditions for the system men-tioned above to have the{P,Q,k+1}-reflexive and anti-reflexive solutions.We also obtain the expressions of such solutions to the system by the singular value decomposition.Moreover,we consider the least squares{P,Q,k+1}-reflexive and anti-reflexive solutions to the system.Finally,we give an algorithm to illustrate the results of this paper.展开更多
An integrated transportation grid will connect Beijing,Tianjin and HebeiProvinceRen Aifan,a 28-year-old who works in downtown Beijing and dwells in Yanjiao,a town in neighboring Hebei Province,has to spend four hours ...An integrated transportation grid will connect Beijing,Tianjin and HebeiProvinceRen Aifan,a 28-year-old who works in downtown Beijing and dwells in Yanjiao,a town in neighboring Hebei Province,has to spend four hours in commuting every day.I get on a bus at 6：50 a.m.and take Beijing’s Subway Line 1 around 8：00a.m.展开更多
基金supported by the National Natural Science Foundation of China(11571220)
文摘In this paper,we investigate the{P,Q,k+1}-reflexive and anti-reflexive solutions to the system of matrix equations AX=C,XB=D and AXB=E.We present the necessary and sufficient conditions for the system men-tioned above to have the{P,Q,k+1}-reflexive and anti-reflexive solutions.We also obtain the expressions of such solutions to the system by the singular value decomposition.Moreover,we consider the least squares{P,Q,k+1}-reflexive and anti-reflexive solutions to the system.Finally,we give an algorithm to illustrate the results of this paper.
文摘An integrated transportation grid will connect Beijing,Tianjin and HebeiProvinceRen Aifan,a 28-year-old who works in downtown Beijing and dwells in Yanjiao,a town in neighboring Hebei Province,has to spend four hours in commuting every day.I get on a bus at 6：50 a.m.and take Beijing’s Subway Line 1 around 8：00a.m.
