A class of efficient inversion-free iterative methods based on fixed point theory for solving nonlinear matrix equations with applications in control theory
Journal of Vibration and Control
Published online on November 28, 2025
Abstract
Journal of Vibration and Control, Ahead of Print.
In this paper, we propose an innovative class of iterative methods designed to solve the nonlinear matrix equation (NME):X+∑l=1pAlTX−1Al=Q,without the need for matrix inversion. These methods are based on the fixed point iteration approach, providing a ...
In this paper, we propose an innovative class of iterative methods designed to solve the nonlinear matrix equation (NME):X+∑l=1pAlTX−1Al=Q,without the need for matrix inversion. These methods are based on the fixed point iteration approach, providing a ...