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Notes on the hermitian positive definite solutions of a matrix equation
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نویسنده
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li j. ,zhang y.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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The nonlinear matrix equation,x - ∑ i = 1 m a ix δ i a i = q,with - 1 ≤ δ i < 0 is investigated. a fixed point theorem in partially ordered sets is proved. and then,by means of this fixed point theorem,the existence of a unique hermitian positive definite solution for the matrix equation is derived. some properties of the unique hermitian positive definite solution are obtained. a residual bound of an approximate solution to the equation is evaluated. the theoretical results are illustrated by numerical examples. © 2014 jing li and yuhai zhang.
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آدرس
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school of mathematics and statistics,shandong university, China, school of mathematics,shandong university, China
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Authors
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