%0 Journal Article %A Tian Baoguang and Liang Chunyan and Chen Nan %D 2014 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 87, 2014 %T On the Positive Definite Solutions of Nonlinear Matrix Equation %U https://publications.waset.org/pdf/9997855 %V 87 %X In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case r>-δi are discussed. An algorithm that avoids matrix inversion with the case -1<-δi<0 is proposed. %P 580 - 582