Presents necessary and sufficient conditions plus iterative methods for Hermitian positive definite solutions of a specific nonlinear matrix equation.
Hasanov, On the matrix equation X + A∗X −1A − B∗X −1B = I, Linear and Multilinear Algebra, 66 (2018), 1783-1798
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Solutions of a class of nonlinear matrix equations
Presents necessary and sufficient conditions plus iterative methods for Hermitian positive definite solutions of a specific nonlinear matrix equation.