In this paper, we propose a new corrector-predictor algorithm for convex quadratic semidefinite optimization problem based on a new proximity measure. The search direction is obtained by an equivalent algebraic transf...
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In this paper, we propose a new corrector-predictor algorithm for convex quadratic semidefinite optimization problem based on a new proximity measure. The search direction is obtained by an equivalent algebraic transformation of the centering equation. At each iteration, the algorithm is composed of a corrector step and a predictor step. The predictor step uses line search schemes requiring the reduction of the duality gap, while the corrector step is used to restore the iterates to the neighborhood of the central path. Finally, the algorithm has the currently best-known iteration complexity.
This paper establishes a mathematical model of the Zika virus infection with the sexual transmission route under the generalized Caputo-type fractional derivative. The model consists of a system of eleven nonlinear fr...
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This paper establishes a mathematical model of the Zika virus infection with the sexual transmission route under the generalized Caputo-type fractional derivative. The model consists of a system of eleven nonlinear fractional differential equations. The existence and uniqueness results are derived by applying Banach's and Schauder's fixed point theorems. The different types of Ulam's stability results for the fractional model are examined. The corrector-predictor algorithm has been applied to illustrate the approximated solutions and analyze the dynamical behavior of the fractional model under consideration. In addition, various numerical simulations are presented corresponding to different fractional-orders in alpha is an element of [0, 1].
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