%0 Journal Article %A Minghui Wang and Juntao Zhang %D 2014 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 90, 2014 %T A New Inversion-free Method for Hermitian Positive Definite Solution of Matrix Equation %U https://publications.waset.org/pdf/9999734 %V 90 %X An inversion-free iterative algorithm is presented for solving nonlinear matrix equation with a stepsize parameter t. The existence of the maximal solution is discussed in detail, and the method for finding it is proposed. Finally, two numerical examples are reported that show the efficiency of the method. %P 1004 - 1007