TY - JFULL AU - Tian Baoguang and Liang Chunyan and Chen Nan PY - 2014/4/ TI - On the Positive Definite Solutions of Nonlinear Matrix Equation T2 - International Journal of Mathematical and Computational Sciences SP - 579 EP - 582 VL - 8 SN - 1307-6892 UR - https://publications.waset.org/pdf/9997855 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 87, 2014 N2 - 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. ER -