On the Positive Operator Solutions to an Operator Equation

On the Positive Operator Solutions to an Operator Equation

The necessary conditions and the sufficient condition for the existence of positive operator solutions to the operator equation Xs+A*X-tA=Q are established. An iterative method for obtaining the positive operator solutions is proposed.

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Veröffentlicht in:ISRN mathematical analysis 2013-06, Vol.2013, p.1-4
Hauptverfasser: Yang, Kai-Fan, Deng, Fang-An, Du, Hong-Ke
Format: Artikel
Sprache:eng
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Zusammenfassung:The necessary conditions and the sufficient condition for the existence of positive operator solutions to the operator equation Xs+A*X-tA=Q are established. An iterative method for obtaining the positive operator solutions is proposed.
ISSN:2090-4665
2090-4665
DOI:10.1155/2013/145606