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The structure-preserving doubling algorithm and convergence analysis for a nonlinear matrix equationZhang, Juan; Li, Shifeng
Automatica (Oxford), March 2020, 2020-03-00, Letnik: 113Journal Article
In this paper, applying special properties of doubling transformation, a structure-preserving doubling algorithm is developed for computing the positive definite solutions for a nonlinear matrix equation. Further, by mathematical induction, we establish the convergence theory of the structure-preserving doubling algorithm. Finally, we offer corresponding numerical examples to illustrate the effectiveness of the derived algorithm.
