2013•ISRN Mathematical AnalysisOpen access

On the Positive Operator Solutions to an Operator Equation

Kaifan Yang, Deng Fang-an, Hong-Ke Du

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Abstract

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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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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Available abstract

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.

Key concepts: Algorithm, Computer science

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