The absolute value equation appears in various fields of applied mathematics such as
operational research. Here we consider its generalized version AX+ B| X|= C, where A, B …

A predefined-time and anti-noise varying-parameter zeroing neural network (PTAN-VPZNN)
is designed to resolve time-varying complex Stein equations in this paper. Differing from the …

This paper focuses on the numerical solution of a class of generalized coupled Sylvester-
conjugate matrix equations, which are general and contain many significance matrix …

Some matrix equations are important in application and studying in various fields of
sciences. One of them is continuous-time algebraic Riccati matrix equation that is an …

Abstract Based on the Combined Real part and Imaginary part (CRI) method for solving
linear systems Wang et al.(2017)[50], we solve generalized Lyapunov matrix equation A X+ …

In this research, we introduce and analyze homotopy analysis method (HAM) for solving
approximately linear matrix equation ∑\limits\limits _ i= 1^ s A_iXB_i+ C= 0∑ i= 1 s A i XB i+ …

Using tools like the Kronecker product and the vector operator, various Sylvester matrix
equations can always be converted into the form A x= f, motivating us to investigate the …

We propose a new iterative method for solving a generalized Sylvester matrix equation A 1
XA 2+ A 3 XA 4= E with given square matrices A 1, A 2, A 3, A 4 and an unknown …

In this paper, based on the iteration frameworks (Tian et al., 2018, 2020), by introducing a
tunable parameter γ to improve their convergence performances, the shifted inner–outer (IO) …

We consider a multitude of topics in mathematics where unification constructions play an
important role: the Yang–Baxter equation and its modified version, Euler's formula for dual …