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   Solvability theory and iteration method for one self-adjoint polynomial matrix equation  
   
نویسنده jia z. ,zhao m. ,wang m. ,ling s.
منبع journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
چکیده    The solvability theory of an important self-adjoint polynomial matrix equation is presented,including the boundary of its hermitian positive definite (hpd) solution and some sufficient conditions under which the (unique or maximal) hpd solution exists. the algebraic perturbation analysis is also given with respect to the perturbation of coefficient matrices. an efficient general iterative algorithm for the maximal or unique hpd solution is designed and tested by numerical experiments. © 2014 zhigang jia et al.
آدرس school of mathematics and statistics,jiangsu normal university, China, school of mathematics and statistics,jiangsu normal university, China, department of mathematics,qingdao university of science and technology, China, college of science,china university of mining and technology, China
 
     
   
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