Investigation of the existence and uniqueness of extremal and positive definite solutions of nonlinear matrix equations
Abstract We consider two nonlinear matrix equations X r ± ∑ i = 1 m A i ∗ X δ i A i = I $X^{r} \pm \sum_{i = 1}^{m} A_{i}^{*}X^{\delta_{i}}A_{i} = I$ , where − 1 < δ i < 0 $- 1 < \delta_{i} < 0$ , and r, m are positive integers. For the first equation (plus case), we prove the existence...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1083-3 |