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 ...

Random walks serve as fundamental models in the study of stochastic processes, simulating phenomena ranging from molecular diffusion to queuing networks and financial systems. Their inherent ...

Random matrix theory (RMT) has emerged as a powerful framework for analysing complex systems across physics, statistics and beyond, by examining the statistical properties of matrices with random ...