Efficient iterative schemes based on Newton's method and fixed-point iteration for solving nonlinear matrix equation Xp = Q±A(X−1+B)−1AT

A numerical approach based on Bernstein collocation method: Application to differential Lyapunov and Sylvester matrix equations

(2023) Lakhlifa Sadek et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Solving system of nonlinear matrix equations over Hermitian positive definite matrices

(2022) Raziyeh Erfanifar et al.   LINEAR & MULTILINEAR ALGEBRA

An efficient inversion-free method for solving the nonlinear matrix equation Xp+∑j=1mAj*X−qjAj=Q

(2022) Raziyeh Erfanifar et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Application of MGA and EGA algorithms on large-scale linear systems of ordinary differential equations

(2022) Lakhlifa Sadek et al.   Journal of Computational Science

Convergence analysis of Newton method without inversion for solving discrete algebraic Riccati equations

(2022) Raziyeh Erfanifar et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

The convergence of a modulus-based matrix splitting iteration method for solving the implicit complementarity problems

(2022) Ximing Fang   Journal of Applied Mathematics and Computing

Controllability, observability and fractional linear-quadratic problem for fractional linear systems with conformable fractional derivatives and some applications

(2022) Lakhlifa Sadek et al.   International Journal of Dynamics and Control

Improved method for analysing the dynamic response of gear transmission systems

(2022) Xiaofeng Li et al.   ENGINEERING COMPUTATIONS

Controllability and observability for fractal linear dynamical systems

(2022) Lakhlifa Sadek   JOURNAL OF VIBRATION AND CONTROL

Fixed point iterative methods for solving the nonlinear matrix equation $$X-A^{*}X^{-n}A=I$$

(2022) Chang-Zhou Li   Journal of Applied Mathematics and Computing

Fractional BDF Methods for Solving Fractional Differential Matrix Equations

(2022) Lakhlifa Sadek   International Journal of Applied and Computational Mathematics

Numerical methods for solving large-scale systems of differential equations

(2021) Lakhlifa Sadek et al.   RICERCHE DI MATEMATICA

On the Calculation of the Moore–Penrose and Drazin Inverses: Application to Fractional Calculus

(2021) Khosro Sayevand et al.   Mathematics

A novel iterative method for the solution of a nonlinear matrix equation

(2020) Raziyeh Erfanifar et al.   APPLIED NUMERICAL MATHEMATICS

The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation

(2018) Juan Zhang et al.   IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION

Solving the coupled Sylvester-like matrix equations via a new finite iterative algorithm

(2017) Masoud Hajarian   ENGINEERING COMPUTATIONS

The positive definite solution of the nonlinear matrix equation X p = A + M ( B + X − 1 ) − 1 M ∗

(2017) Jie Meng et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation

(2015) Juan Zhang et al.   Advances in Difference Equations

Convergence of ADGI methods for solving systems of linear matrix equations

(2014) Masoud Hajarian   ENGINEERING COMPUTATIONS

New upper solution bounds of the discrete algebraic Riccati matrix equation

(2007) Richard Davies et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS