Results 221 to 230 of about 47,901 (262)

Solvability conditions for nonlinear matrix equations

Journal of Mathematical Sciences, 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.
exaly   +3 more sources

Solving two generalized nonlinear matrix equations

Journal of Applied Mathematics and Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter Chang-Yi Weng
exaly   +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

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

On the extreme solutions of an nonlinear matrix equation

2007 American Control Conference, 2007
A quadratically convergent algorithm (QCA) for solving the extreme solutions of the matrix equation AX2+BX+C=0 was proposed by Bini and Meini. In this paper, we present a new derivation for this algorithm and a new proof for the convergence theory by using a structure-preserving transformation of a matrix pencil.
Xiaoxia Guo, Zhijian Ji
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

Research on a Class of Nonlinear Matrix Equation

2014
In this paper, the nonlinear matrix equation \(X^{r}+\sum\limits_{i=1}^{m}A_{i}^{\ast}X^{\delta_{i}}A_{i}\) = Q is discussed. We propose the Newton iteration method for obtaining the Hermite positive definite solution of this equation. And a numerical example is given to identify the efficiency of the results obtained.
Jiating Fang   +3 more
openaire   +1 more source

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