Taiwanese Journal of Mathematics, Vol. 10, No. 5 (September 2006), pp. 1329-1344 (16 pages) Consider the nonlinear matrix equation X + A* X⁻² A = I, where A is an n × n complex matrix, I the identity ...

An efficient computational algorithm is developed for solving linear matrix equations whose characteristic interaction matrix H' differs by a matrix of rank r from an interaction matrix H of a system ...