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- W1997179902 abstract "We consider a class of matrix equations of the type X=Q+∑i=1mAi∗XAi−∑i=1mBi∗XBi, where Q is an n×n positive definite matrix and Ai, Bi are n×n arbitrary matrices. Using the recently presented coupled fixed point theorem of Bhaskar and Lakshmikantham, we prove the existence and uniqueness of positive definite solutions to such equations. Some numerical examples are also presented to show the efficiency of our approach." @default.
- W1997179902 created "2016-06-24" @default.
- W1997179902 creator A5051976261 @default.
- W1997179902 date "2012-11-01" @default.
- W1997179902 modified "2023-10-18" @default.
- W1997179902 title "Solving a class of matrix equations via the Bhaskar–Lakshmikantham coupled fixed point theorem" @default.
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- W1997179902 doi "https://doi.org/10.1016/j.aml.2012.01.028" @default.
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