Browsing by Author "Tao, J.Y."

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Erratum to: Improved Complexity Analysis of Full Nesterov–Todd Step Feasible Interior-Point Method for Symmetric Optimization (Journal of Optimization Theory and Applications (2015) 166 2 (588-604) 10.1007/s10957-014-0696-2)
(Springer Science and Business Media LLC, 2017) Guoqiang Wang; Lingcheng Chen Kong; Jiyuan Tao; Goran Lešaja; Tao, J.Y.; Wang, G.Q.; Kong, L.C.; Lesaja, G.
We correct a typo in [1 Corollary 3.1] and an error in the proof of [1 Lemma 2.3]. © 2022 Elsevier B.V. All rights reserved.
Citation - WoS: 16
Citation - Scopus: 14
Improved Complexity Analysis of Full Nesterov-Todd Step Feasible Interior-Point Method for Symmetric Optimization
(SPRINGER/PLENUM PUBLISHERS, 2015) G. Q. Wang; L. C. Kong; J. Y. Tao; G. Lesaja; Tao, J.Y.; Wang, G.Q.; Kong, L.C.; Lesaja, G.
In this paper an improved complexity analysis of full Nesterov-Todd step feasible interior-point method for symmetric optimization is considered. Specifically we establish a sharper quadratic convergence result using several new results from Euclidean Jordan algebras which leads to a wider quadratic convergence neighbourhood of the central path for the iterates in the algorithm. Furthermore we derive the currently best known iteration bound for full Nesterov-Todd step feasible interior-point method.