Two kinds of nonlinear matrix equations and their corresponding matrix sequences
Xiquan Shi, Fengshan Liu, Hanson M. Umoh, Frank Gibson · Linear and Multilinear Algebra · 2004
We studied the existence and uniqueness of solutions of the following two kinds of nonlinear matrix equations , and , and the convergence of the matrix sequences {Xi } recursively defined by and where for k −1 and are initial positive definite matrices.