On the Positive Definite Solutions of a Nonlinear Matrix Equation
On the Positive Definite Solutions of a Nonlinear Matrix Equation
The positive definite solutions of the nonlinear matrix equation <svg style="vertical-align:-3.56265pt;width:137.35001px;" id="M1" height="18.1875" version="1.1" viewBox="0 0 137.35001 18.1875" width="137.35001" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,13.688)"><path id="x1D44B" d="M775 650l-6 -28q-60 -6 -81.5 -16t-61.5 -54l-175 -191l125 -243q30 -58 48.5 -71t82.5 -19l-5 -28h-275l7 28l35 4q31 4 37 12t-6 34l-108 216q-140 -165 -177 -219q-16 -22 -10.5 …