New complexity analysis of a full Nesterov- Todd step infeasible interior-point algorithm for symmetric optimization

Behrouz Kheirfam; Nezam Mahdavi-Amiri

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In this article, the principal n-th root of a complex number is defined, the Vieta's formulas for polynomial equations of degree 2, 3 and 4 are formalized. The solution of quadratic equations, the Cardan's solution of cubic equations and the Descartes-Euler solution of quartic equations in terms of their complex coefficients are also presented [5].