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Small-sample statistical condition estimation of rational Riccati equations

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Abstract

We study the small-sample statistical condition estimation of the rational Riccati equation, which may be incorporated into a direct solver applying the homotopy method. Our proposed condition estimation algorithms are efficient for small and medium size rational Riccati equations. Illustrative numerical examples are presented.

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Zhang, L., Chu, E. K. W., Fan, H. Y., & Wei, Y. (2020). Small-sample statistical condition estimation of rational Riccati equations. Applied Mathematics Letters, 103. https://doi.org/10.1016/j.aml.2019.106172

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