@Article{CMR-29-3,
author = {Sang, Haifeng and Panpan, Liu and Zhang, Shugong and Qingchun, Li},
title = {On the Nonlinear Matrix Equation $\boldsymbol{X} + \boldsymbol{A}^∗ f_1(\boldsymbol{X})\boldsymbol{A} + \boldsymbol{B}^∗ f_2(\boldsymbol{X}) \boldsymbol{B} = \boldsymbol{Q}$},
journal = {Communications in Mathematical Research },
year = {2013},
volume = {29},
number = {3},
pages = {280--288},
abstract = {<p style="text-align: justify;">In this paper, nonlinear matrix equations of the form $\boldsymbol{X} + \boldsymbol{A}^∗ f_1(\boldsymbol{X})\boldsymbol{A} + \boldsymbol{B}^∗ f_2(\boldsymbol{X}) \boldsymbol{B} = \boldsymbol{Q}$ are discussed. Some necessary and sufficient conditions for the
existence of solutions for this equation are derived. It is shown that under some
conditions this equation has a unique solution, and an iterative method is proposed
to obtain this unique solution. Finally, a numerical example is given to identify the
efficiency of the results obtained.</p>},
issn = {2707-8523},
doi = {https://doi.org/2013-CMR-19012},
url = {https://global-sci.com/article/81801/on-the-nonlinear-matrix-equation-boldsymbolx-boldsymbola-f-1boldsymbolxboldsymbola-boldsymbolb-f-2boldsymbolx-boldsymbolb-boldsymbolq}
}