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Displaying similar documents to “On some properties of two simultaneous polygonal sequences.”

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

Behrouz Kheirfam, Nezam Mahdavi-Amiri (2013)

Kybernetika

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A full Nesterov-Todd step infeasible interior-point algorithm is proposed for solving linear programming problems over symmetric cones by using the Euclidean Jordan algebra. Using a new approach, we also provide a search direction and show that the iteration bound coincides with the best known bound for infeasible interior-point methods.

Solution of Cubic and Quartic Equations

Marco Riccardi (2009)

Formalized Mathematics

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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].