# A New Extension of Chubanov's Method to Symmetric Cones

@article{Kanoh2021ANE, title={A New Extension of Chubanov's Method to Symmetric Cones}, author={Shingo Kanoh and Akiko Yoshise}, journal={ArXiv}, year={2021}, volume={abs/2110.09854} }

We propose a new variant of Chubanov’s method for solving the feasibility problem over the symmetric cone by extending Roos’s method (2018) for the feasibility problem over the nonnegative orthant. The proposed method considers a feasibility problem associated with a norm induced by the maximum eigenvalue of an element and uses a rescaling focusing on the upper bound of the sum of eigenvalues of any feasible solution to the problem. Its computational bound is (i) equivalent to Roos’s original…

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