Uniqueness of solution of a generalized ⋆-Sylvester matrix equation

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• 作者：Fernando De Terá ; n^a ; ^{fteran@math.uc3m.es" class="auth_mail" title="E-mail the corresponding author} ; Bruno Iannazzo^b ; ^{bruno.iannazzo@dmi.unipg.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A22 ; 15A24 ; 65F15
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：15 March 2016
• 年：2016
• 卷：493
• 期：Complete
• 页码：323-335
• 全文大小：350 K

文摘

We present necessary and sufficient conditions for the existence of a unique solution of the generalized ⋆-Sylvester matrix equation g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515007181&_mathId=si1.gif&_user=111111111&_pii=S0024379515007181&_rdoc=1&_issn=00243795&md5=a98fff79c3cb3760c8d6d6e1dab51feb" title="Click to view the MathML source">AXB+CX^⋆D=Egif" overflow="scroll">AXB+CX⋆D=E, where g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379515007181&_mathId=si2.gif&_user=111111111&_pii=S0024379515007181&_rdoc=1&_issn=00243795&md5=f63fb40a97db0d91326bdc11752520af" title="Click to view the MathML source">A,B,C,D,Egif" overflow="scroll">A,B,C,D,E are square matrices of the same size with real or complex entries, and where ⋆ stands for either the transpose or the conjugate transpose. This generalizes several previous uniqueness results for specific equations like the ⋆-Sylvester or the ⋆-Stein equations.