Results 251 to 260 of about 615,027 (289)

Solvability conditions for nonlinear matrix equations

Ukrainian Mathematical Bulletin, 2023
Conditions for the existence of solutions of nonlinear matrix equations have been found and a method of their construction has been proposed. As an example of the iterative scheme construction, approximations for the solutions of the nonlinear algebraic matrix Riccati equation and their accuracy errors were determined.
Chuiko, S., Shevtsova, K.
openaire   +2 more sources

Solvability for a Nonlinear Matrix Equation

Bulletin of the Iranian Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, J., Zhang, Y. H.
openaire   +1 more source

Solvability for Two Forms of Nonlinear Matrix Equations

Bulletin of the Iranian Mathematical Society, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chengbo Zhai, Zhixiang Jin
openaire   +2 more sources

On Solutions to the Matrix Nonlinear Schrödinger Equation

Computational Mathematics and Mathematical Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Ψ-stability for nonlinear matrix difference equations

AIP Conference Proceedings, 2021
By applying the properties of Kronecker product of matrices, here we develop the Ψ- stability solution of the first order linear and nonlinear matrix difference equations on N.
T. Srinivasa Rao, G. Suresh Kumar, Ch. Vasavi, T. Nageswara Rao   +3 more
openaire   +1 more source

Solving two generalized nonlinear matrix equations

Journal of Applied Mathematics and Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Nonlinear matrix equations involving Kubo–Ando means

Acta Scientiarum Mathematicarum
\textit{W. Pusz} and \textit{S. L. Woronowicz} [Rep. Math. Phys. 8, 159--170 (1975; Zbl 0327.46032)] proved that the operator geometric mean is the unique positive definite solution of the Riccati equation \(XA^{-1}X = B\). Since then many mathematicians have studied operator equations involving (weighted) geometric means.
Trung Hoa Dinh, Anh Vu Le, Anh Thi Nguyen, Ai Nhan D. Nguyen   +3 more
openaire   +1 more source

Nonlinear computational methods of quadratic matrix equations

2010 International Conference on Computer Application and System Modeling (ICCASM 2010), 2010
Motivated by the multi-splitting methods, we present two nonlinear multi-splitting algorithms for solving the quadratic matrix equation (QME). Under suitable conditions we then respectively prove the local linear and quadratic convergence of the two algorithms. Some numerical results are given to show the feasibility and effectiveness of our algorithms.
null Xiao-Lin Lin, null Li Li
openaire   +1 more source

Invariant metrics, contractions and nonlinear matrix equations

Nonlinearity, 2008
In this paper we consider the semigroup generated by the self-maps on the open convex cone of positive definite matrices of translations, congruence transformations and matrix inversion that includes symplectic Hamiltonians and show that every member of the semigroup contracts any invariant metric distance inherited from a symmetric gauge function ...
Hosoo Lee, Yongdo Lim
openaire   +1 more source