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A New Infeasible-Interior-Point Algorithm for Linear Programming over Symmetric Cones

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Acta Mathematicae Applicatae Sinica 2017年第3期33卷 771-788页

作者： chang-he liu You-lin SHANG Ping HAN School of Mathematics and Statistics Henan University of Science and Technology College of Mathematics and System Science Shandong University of Science and Technology

In this paper we present an infeasible-interior-point algorithm, based on a new wide neighbourhood N（ t1, t2, η）, for linear programming over symmetric cones. We treat the classical Newton direction as the sum of two other directions. We prove that if these two directions are equipped with different and appropriate step sizes, then the new algorithm has a polynomial convergence for the commutative class of search directions. In particular, the complexity bound is O（r1.5 log ε-1） for the Nesterov-Todd （NT） direction, and O（r2 log ε-1） for the xs and sx directions, where r is the rank of the associated Euclidean Jordan algebra and ε 〉 0 is the required precision. If starting with a feasible point （x0, y0, s0） in N（t1, t2, η）, the complexity bound is O（ √ r log ε-1） for the NT direction, and O（r log ε-1） for the xs and sx directions. When the NT search direction is used, we get the best complexity bound of wide neighborhood interior-point algorithm for linear programming over symmetric cones.

关键词： symmetric cone Euclidean Jordan algebra interior-point methods linear programming polynomial complexity

Inexact Operator Splitting Method for Monotone Inclusion Problems

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Journal of the Operations Research Society of China 2021年第2期9卷 273-306页

作者： Yuan-Yuan Huang chang-he liu You-Lin Shang School of Mathematics and Statistics Henan University of Science and TechnologyLuoyang 471023HenanChina

The Douglas–Peaceman–Rachford–Varga operator splitting methods are a class ofefficient methods for finding a zero of the sum of two maximal monotone operatorsin a real Hilbert space;however, they are sometimes difficult or even impossible tosolve the subproblems exactly. In this paper, we suggest an inexact version in whichsome relative error criterion is discussed. The corresponding convergence propertiesare established, and some preliminary numerical experiments are reported to illustrateits efficiency.

关键词： Monotone operator Splitting methods Convergence properties Error criterion

A New Infeasible-Interior-Point Algorithm Based on Wide Neighborhoods for Symmetric Cone Programming

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Journal of the Operations Research Society of China 2016年第2期4卷 147-165页

作者： chang-he liu Dan Wu You-Lin Shang Department of Applied Mathematics Henan University of Science and TechnologyLuoyang 471023HenanChina

In this paper,we present an infeasible-interior-point algorithm,based on a new wide neighborhood for symmetric cone *** treat the classical Newton direction as the sum of two other directions,and equip them with different step *** prove the complexity bound of the new algorithm for the Nesterov-Todd(NT)direction,and the xs and sx *** complexity bounds obtained here are the same as small neighborhood infeasible-interior-point algorithms over symmetric cones.

关键词： Infeasible-interior-point algorithm Wide neighborhood Symmetric cone programming Euclidean Jordan algebra Polynomial complexity

Polynomial Convergence of Primal-Dual Path-Following Algorithms for Symmetric Cone Programming Based on Wide Neighborhoods and a New Class of Directions

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Journal of the Operations Research Society of China 2017年第3期5卷 333-346页

作者： chang-he liu Yuan-Yuan Huang You-Lin Shang School of Mathematics and Statistics Henan University of Science and TechnologyLuoyang 471023HenanChina

This paper presents a class of primal-dual path-following interior-point algorithms for symmetric cone programming(SCP)based on wide neighborhoods and new directions with a parameterθ.When the parameterθ=1,the direction is exactly the classical Newton *** the parameterθis independent of the rank of the associated Euclidean Jordan algebra,the algorithm terminates in at most O(κr logε−1)iterations,which coincides with the best known iteration bound for the classical wide neighborhood *** the parameterθ=√n/βτand Nesterov–Todd search direction is used,the algorithm has O(√r logε−1)iteration complexity,the best iteration complexity obtained so far by any interior-point method for solving *** our knowledge,this is the first time that a class of interior-point algorithms including the classical wide neighborhood path-following algorithm is proposed and analyzed over symmetric cone.

关键词： Path-following interior-point algorithm Wide neighborhood Symmetric cone programming Euclidean Jordan algebra Polynomial complexity

DETERMINATION OF SENSITIZATION IN AUSTENITIC STAINLESS STEEL

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Chinese Chemical Letters 1993年第11期4卷 993-994页

作者： Quan Sheng WU, Wei he, chang Yi liu, Xiao Liang CheNG, Shen Hao CheN Department of Chemistry, Shandong University, Jinan, 250100

The electrochemical potentiokinetic reactivation technique(EPR) and the potentiostatic pulse technique(PPT) have been used to detect sensitization of austenitic stainless steel. Compared with EPR, PPT has some advantages such as it can be conducted at greater speed and with less destruction, etc. The sensitivity of PPT can be improved by altering t_1/t_2 in a certain range and it will favour the detection of the specimen with lower degree of sensitization.

关键词： EPR DOS DETERMINATION OF SENSITIZATION IN AUSTENITIC STAINLESS STEEL Chen than

Severe henoch-Schonlein purpura with infliximab forulcerative colitis

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World Journal of Gastroenterology 2015年第19期21卷 6082-6087页

作者： Yang Song, Yan-Hong Shi, Chong he, chang-Qin liu, Jun-Shan Wang, Yu-Jie Zhao, Yan-Min Guo, Rui-Jin Wu, Xiao-Yue Feng, and Zhan-Ju liu Yang Song Yan-Hong Shi Chong He Chang-Qin Liu Jun-Shan Wang Yu-Jie Zhao Yan-Min Guo Rui-Jin Wu Xiao-Yue Feng Zhan-Ju Liu Department of Gastroenterology Shanghai Tenth People&#x02019 s Hospital Tongji University Shanghai 200072 China

Infliximab （IFX） is an anti-tumor necrosis factorchimeric antibody that is effective for treatment ofautoimmune disorders such as Crohn＇s disease andulcerative colitis （UC）. IFX is well tolerated with alow incidence of adverse effects such as infections,skin reactions, autoimmunity, and *** manifestations can appear as infusionreaction, vasculitis, cutaneous infections, psoriasis,eczema, and skin cancer. here, we present anunusual case of extensive and sporadic subcutaneousecchymosis in a 69-year-old woman with severe UC,partial colectomy and cecostomy, following her initialdose of IFX. The reaction occurred during infliximabinfusion, and withdrawal of IFX led to gradual alleviationof her symptoms. We concluded that henoch-Sch？nleinpurpura, a kind of leukocytoclastic vasculitis, mighthave contributed to the development of the *** the precise mechanisms of the vasculitis arestill controversial, such a case highlights the importanceof subcutaneous adverse effects in the management ofUC with IFX.

关键词： henoch-Sch?nlein purpura Infliximab Vasculitis Subcutaneous ecchymosis Ulcerative colitis

Interconnections between diabetic corneal neuropathy and diabetic retinopathy:diagnostic and therapeutic implications

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Neural Regeneration Research 2025年第8期20卷 2169-2180页

作者： Mingyi Yu Faith Teo En Ning chang liu Yu-Chi liu Tissue Engineering and Stem Cell Group Singapore Eye Research InstituteSingapore Yong Loo Lin School of Medicine National University of SingaporeSingapore Department of Cornea and External Eye Disease Singapore National Eye CenterSingapore Ophthalmology and Visual Sciences Academic Clinical Program Duke-NUS Medical SchoolSingapore

Diabetic corneal neuropathy and diabetic retinopathy are ocular complications occurring in the context of diabetes *** corneal neuropathy refers to the progressive damage of corneal *** retinopathy has traditionally been considered as damage to the retinal ***,growing evidence suggests that diabetic retinopathy is a complex neurovascular disorder resulting from dysfunction of the neurovascular unit,which includes both the retinal vascular structures and neural *** retinopathy is one of the leading causes of blindness and is frequently screened for as part of diabetic ocular ***,diabetic corneal neuropathy is commonly overlooked and underdiagnosed,leading to severe ocular surface *** studies have found that these two conditions tend to occur together,and they share similarities in their pathogenesis pathways,being triggered by a status of chronic *** review aims to discuss the interconnection between diabetic corneal neuropathy and diabetic retinopathy,whether diabetic corneal neuropathy precedes diabetic retinopathy,as well as the relation between the stage of diabetic retinopathy and the severity of corneal *** also endeavor to explore the relevance of a corneal screening in diabetic eyes and the possibility of using corneal nerve measurements to monitor the progression of diabetic retinopathy.

关键词： cornea corneal nerves diabetes diabetic corneal neuropathy diabetic retinopathy retina

Distinct MLT asymmetry of auroral kilometric radiation observed by the FAST satellite

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Earth and Planetary Physics 2025年第1期9卷 188-193页

作者： JiaWen Tang Sai Zhang FuLiang Xiao HongMing Yang Si liu YiHua he chang Yang YuYue Jin ZhouKun Deng Ping Li Archie James Johnston School of Physics and Electronic Sciences Changsha University of Science and TechnologyChangsha 410114China Hunan Province Higher Education Key Laboratory of Modeling and Monitoring on the Near-Earth Electromagnetic Environments Changsha University of Science and TechnologyChangsha 410114China School of Electrical and Information Engineering Changsha University of Science and TechnologyChangsha 410114China

Auroral Kilometric Radiation(AKR)is a common radio emission,which can contribute to the magnetosphere−ionosphere−atmosphere *** emissions have been observed in all magnetic planet magnetospheres of the solar *** this study,using observations from the FAST satellite from 30 August 1996 to 9 September 2001,the distribution of AKR in altitude=500−4500 km and invariant latitude(|ILAT|)=60°−80°has been analyzed.63045 AKR samples have been identified with~48%(52%)samples on the dayside(nightside).Of considerable interest,there is a distinct MLT asymmetry with the high occurrence rate in MLT=05−08 and 18−22(02−05 and 12−17)in the northern(southern)*** distinct MLT asymmetry is associated with the direction of Bxof the interplanetary magnetic *** addition,the occurrence rate on the nightside clearly increases as the index *** study further enriches *** and understanding of AKR in the magnetosphere as well as other similar radio emissions.

关键词： asymmetry auroral kilometric radiation interplanetary magnetic field

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苹果酒影响品质因素与发展前景

酿酒 2008年第4期35卷 92-94页

作者：何昌流安徽省第一轻工业学校蚌埠233010

系统分析了影响苹果酒品质的因素及其发展前景。

关键词：苹果酒品质因素发展前景