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The operator equation
Authors:Rajendra Bhatia  Mitsuru Uchiyama  
Affiliation:aIndian Statistical Institute, New Delhi 110016, India;bDepartment of Mathematics, Shimane University, Matsue 690-8504, Japan
Abstract:The solution of the linear operator equation:An-1X+An-2XB+cdots, three dots, centered+AXBn-2+XBn-1=Y is given by View the MathML source if the spectra of A and B are in the sector {z:z≠0,-π/nz<π/n}.
Keywords:Linear operator equation   Fré  chet derivative   Sylvester equation
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