Do both of the following:
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We don’t know what your input data is. You should rescale the data (variables) if not all non-zero input data are within a small number of orders of magnitude of one.
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If Mosek is available to you, use it as solver. Otherwise follow the advice at CVXQUAD: How to use CVXQUAD's Pade Approximant instead of CVX's unreliable Successive Approximation for GP mode, log, exp, entr, rel_entr, kl_div, log_det, det_rootn, exponential cone. CVXQUAD's Quantum (Matrix) Entropy & Matrix Log related functions