On the theory of nonlinear matrix equation Xs = Q + AH(I ⊗ X − C)−δA

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Abstract

In this paper, the nonlinear matrix equation Xs = Q ± AH(I ⊗ X − C)−δA are discussed. We present some necessary and sufficient conditions for the existence of a definite positive solution for this equation, and some related properties of the definite positive solution such as boundary.

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Liu, W., Sang, H., Li, Q., & Zhai, C. (2014). On the theory of nonlinear matrix equation Xs = Q + AH(I ⊗ X − C)−δA. Communications in Computer and Information Science, 472, 281–288. https://doi.org/10.1007/978-3-662-45049-9_45

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