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Aug 1, 2020 · We consider the nonlinear matrix equation (1.1) X p = A + M T ( X # B ) M , where p ≥ 1 is a positive integer, M is an n × n nonsingular matrix, ...
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May 30, 2023 · In this paper, the nonlinear matrix equation X s + A H F ( X ) A = Q are discussed, where operator F are defined in the set of all n × n ...
Sep 3, 2018 · I'll give an explicit expression for a family of solutions to your first problem (the more general one without the symmetry constraint).
In sec- tion 3, we investigate solution existence and numerical solution of nonlinear matrix equation (1.1), assuming the nonnegativeness of the four matrices.
In this paper, the nonlinear matrix equation X s + A H F ( X ) A = Q are discussed, where operator F are defined in the set of all n × n positive semi-definite ...
Oct 24, 2024 · A nonlinear matrix equation is an equation , where is a function that depends on the matrix in a nonlinear way. Nonlinear matrix equations ...
1. We consider the nonlinear matrix equation (1) Xp=A#t(MT(X−1+B)−1M), where p≥1 is a positive integer, t∈[0,1], M is an n×n nonsingular matrix, ...
We shall use the following notations: M ( n ) denotes the set of all n × n matrices, H ( n ) ⊆ M ( n ) the set of all n × n Hermitian matrices and H + ( n ) ⊂ H ...
Jul 19, 2019 · In this article we present several necessary and sufficient conditions for the existence of Hermitian positive definite solutions of nonlinear matrix equations.
Oct 26, 2023 · In this paper, we investigate the iterative methods for the solution of different types of nonlinear matrix equations.