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| 1 | Information granules and entropy theory in information systems显示文摘Information granulation and entropy theory are two main approaches to research uncertainty of an information system,which have been widely applied in many practical issues. In this paper,the characterizations and representations of infor-mation granules under various binary relations are investigated in information systems,an axiom definition of information granulation is presented,and some existing definitions of information granulation become its special forms. Entropy theory in information systems is further developed and the granulation monoton-icity of each of them is proved. Moreover,the complement relationship between information granulation and entropy is established. This investigation unifies the results of measures for uncertainties in complete information systems and incom-plete information systems. | LIANG JiYe & QIAN YuHua Key Laboratory of Computational Intelligence and Chinese Information Processing,Ministry of Education School of Computer & Information Technology,Shanxi University,Taiyuan 030006,China | 2008 | Science in China(Series F)2008,51,10: | 41 |
| 2 | An improved algorithm for fluid-structure interaction of high-speed trains under crosswind显示文摘Based on the train-track coupling dynamics and high-speed train aerodynamics,this paper deals with an improved algorithm for fluid-structure interaction of high-speed trains.In the algorithm,the data communication between fluid solver and structure solver is avoided by inserting the program of train-track coupling dynamics into fluid dynamics program,and the relaxation factor concerning the load boundary of the fluid-structure interface is introduced to improve the fluctuation and convergence of aerodynamic forces.With this method,the fluid-structure dynamics of a highspeed train are simulated under the condition that the velocity of crosswind is 13.8 m/s and the train speed is 350 km/h.When the relaxation factor equals 0.5,the fluctuation of aerodynamic forces is lower and its convergence is faster than in other cases.The side force and lateral displacement of the head train are compared between off-line simulation and co-simulation.Simulation results show that the fluid-structure interaction has a significant influence on the aerodynamics and attitude of the head train under crosswind conditions.In addition,the security indexes of the head train worsen after the fluid-structure interaction calculation.Therefore,the fluid-structure interaction calculation is necessary for high-speed trains. | Tian LI Jiye ZHANG Weihua ZHANG | 2011 | Journal of Modern Transportation2011,19,2: | 29 |
| 3 | Trajectory planning and yaw rate tracking control for lane changing of intelligent vehicle on curved road显示文摘The lateral control for lane changing of intelligent vehicle on curved road in automatic highway systems was studied. Based on trapezoidal acceleration profile, considering the curvature difference between starting lane and target lane, a new virtual trajectory planning method for lane changing on curved road was presented, and the calculating formulas for ideal states of vehicle in the inertial coordinate system during a lane changing maneuver were established. Applying the predetermined trajectory, the reference yaw angle and yaw rate for lane changing were generated. On the assumption that the information on yaw rate of vehicle can be measured with on-board sensors and based on the lateral dynamical model of vehicle, the yaw-rate-tracking control law was designed by applying nonsingular terminal sliding mode technology. Based on Lyapunov function method, the finite-time convergence property of the system was obtained from the phase-plane analysis. Simulation results showed that if the curvature difference between starting lane and target lane was not considered, then at the finishing time of lane changing, it was impossible to avoid the deviation of the virtual trajectory panned from the target lane, which increased with the decrease of curvature radius. With the trajectory planning method and yaw rate-tracking control law proposed in this paper and considering the curvature difference between the starting lane and target lane, the desired virtual trajectory for lane changing without deviation was obtained and the expected tracking performance was also verified by the simulation. | REN DianBo ZHANG JiYe ZHANG JingMing CUI ShengMin | 2011 | Science China(Technological Sciences)2011,54,3: | 25 |
| 4 | Investigation of the aeroacoustic behavior and aerodynamic noise of a high-speed train pantograph显示文摘As one of the main aerodynamic noise sources of high-speed trains, the pantograph is a complex structure containing many components, and the flow around it is extremely dynamic, with high-level turbulence. This study analyzed the near-field unsteady flow around a pantograph using a large-eddy simulation(LES) with high-order finite difference schemes. The far-field aerodynamic noise from a pantograph was predicted using a computational fluid dynamics(CFD)/Ffowcs Williams-Hawkings(FW-H) acoustic analogy. The surface oscillating pressure data were also used in a boundary element method(BEM) acoustic analysis to predict the aerodynamic noise sources of a pantograph and the far-field sound radiation. The results indicated that the main aerodynamic noise sources of the pantograph were the panhead, base frame and knuckle. The panhead had the largest contribution to the far-field aerodynamic noise of the pantograph. The vortex shedding from the panhead generated tonal noise with the dominant peak corresponding to the vortex shedding frequency and the oscillating lift force exerted back on the fluid around the panhead.Additionally, the peak at the second harmonic frequency was associated with the oscillating drag force. The contribution of the knuckle-downstream direction to the pantograph aerodynamic noise was less than that of the knuckle-upstream direction of the pantograph, and the average sound pressure level(SPL) was 3.4 dBA. The directivity of the noise radiated exhibited a typical dipole pattern in which the noise directivity was obvious at the horizontal plane of θ=0°,the longitudinal plane of θ=120°,and the vertical plane of θ=90°. | ZHANG YaDong ZHANG JiYe LI Tian ZHANG Liang | 2017 | Science China(Technological Sciences)2017,60,4: | 25 |
| 5 | Cucurbitacin B induces rapid depletion of the G-actin pool through reactive oxygen species-dependent actin aggregation in melanoma cells显示文摘Cucurbitacin B (崽) ,从 Cucurbitaceae 植物孤立的 triterpenoid 混合物,作为一个有希望的反癌症代理人被报导了,还它的行动机制仍然是争论的。在这研究,我们在鼠科的 B16F10 黑瘤房间探索了崽的潜在的机制。反增长和反侵略效果在有教养的房间被估计,并且在 vivo 反肿瘤,活动在一个鼠科的下的黑瘤模型被评估。流动 cytometry 被采用分析细胞周期分发和反应的氧种(ROS ) 层次。肌动朊层次被西方的污点分析决定,并且微分表示蛋白质的侧面被一条量的 proteomic 途径识别。结果证明那崽在房间增长,殖民地形成,以及移植和黑瘤房间的侵略潜力上施加了禁止的效果。下的黑瘤的生长显著地在当时,与崽对待的老鼠被禁止与控制相比组。而且,崽治疗引起了快速的房间膜 blebbing 和变丑,并且导致了 G2/M-phase 拘捕和 multiploid 房间的形成。尤其是, G 肌动朊水池很快被弄空,肌动朊总数在崽处理以后快速被形成。很多细胞骨架规章的蛋白质是调整的差别。ROS 生产的阻塞显著地减少了 G 肌动朊弄空能力和崽的反肿瘤活动。这些调查结果显示那崽在黑瘤房间通过 ROS 依赖的肌动朊聚集导致 G 肌动朊水池的快速的弄空,它可以部分至少说明它的反肿瘤活动。 | Yanting Zhang Dongyun Ouyang Lihui Xu Yuhua Ji Qingbing Zha Jiye Cai Xianhui He | 2011 | Acta Biochimica et Biophysica Sinica2011,43,7: | 19 |
| 6 | Effect of RANS Turbulence Model on Aerodynamic Behavior of Trains in Crosswind显示文摘The numerical simulation based on Reynolds time-averaged equation is one of the approved methods to evaluate the aerodynamic performance of trains in crosswind.However,there are several turbulence models,trains may present different aerodynamic performances in crosswind using different turbulence models.In order to select the most suitable turbulence model,the inter-city express 2(ICE2)model is chosen as a research object,6 different turbulence models are used to simulate the flow characteristics,surface pressure and aerodynamic forces of the train in crosswind,respectively.6 turbulence models are the standard k-ε,Renormalization Group(RNG)k-ε,Realizable k-ε,Shear Stress Transport(SST)k-ω,standard k-ωand Spalart-Allmaras(SPA),respectively.The numerical results and the wind tunnel experimental data are compared.The results show that the most accurate model for predicting the surface pressure of the train is SST k-ω,followed by Realizable k-ε.Compared with the experimental result,the error of the side force coefficient obtained by SST k-ωand Realizable k-εturbulence model is less than 1%.The most accurate prediction for the lift force coefficient is achieved by SST k-ω,followed by RNG k-ε.By comparing 6 different turbulence models,the SST k-ωmodel is most suitable for the numerical simulation of the aerodynamic behavior of trains in crosswind. | Tian Li Deng Qin Jiye Zhang | 2019 | Chinese Journal of Mechanical Engineering2019,32,5: | 13 |
| 7 | Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search显示文摘In this paper, we propose a smoothing algorithm for solving the monotone symmetric cone complementarity problems (SCCP for short) with a nonmonotone line search. We show that the nonmonotone algorithm is globally convergent under an assumption that the solution set of the problem concerned is nonempty. Such an assumption is weaker than those given in most existing algorithms for solving optimization problems over symmetric cones. We also prove that the solution obtained by the algorithm is a maximally complementary solution to the monotone SCCP under some assumptions. | HUANG ZhengHai HU ShengLong HAN JiYe | 2009 | Science China Mathematics2009,52,4: | 12 |
| 8 | Outline of Uranium Resources Characteristics and Metallogenetic Regularity in China显示文摘Uranium,as one of twenty-six kinds of important minerals in China,is strategic resource and energy mineral,which has been thoroughly investigated in the project of National Potential Evaluation of Uranium Resource.During the implementation of this project,the authors summarized the metallogenic regularity of uranium resource in China systematically,through the researches of geological characteristics of uranium resource,uranium deposits type(genetic and prediction type),temporal and spatial distribution,and metallogenic series.Based on the investigation of present situation and progress in uranium exploration,this paper proposes the uranium deposits in China should be divided into 4 classes,9 types,21 subtypes in genetic,and 50 types in prediction;suggests to divide China into 29 uranium metallogenic belts and 20 uranium prospective area,and constructs 20uranium-polymetallic metallogenic series,through summarizing temporal and spatial distribution characteristics and metallogenic regularity of uranium deposits in China.The above research is beneficial to the comprehensive understanding of regional uranium metallogenic regularity,and will direct the uranium exploration in the future. | CAI Yuqi ZHANG Jindai LI Ziying GUO Qingyin SONG Jiye FAN Honghai LIU Wusheng QI Fucheng ZHANG Minglin | 2015 | Acta Geologica Sinica(English Edition)2015,89,3: | 11 |
| 9 | Research progress in ZnO single-crystal:growth, scientific understanding, and device applications显示文摘Zinc oxide,a wide band-gap semiconductor,has shown extensive potential applications in high-efficiency semiconductor photoelectronic devices,semiconductor photocatalysis,and diluted magnetic semiconductors.Due to the undisputed lattice integrity,ZnO single crystals are essential for the fabrication of high-quality ZnO-based photoelectronic devices,and also believed to be ideal research subjects for understanding the underlying mechanisms of semiconductor photocatalysis and diluted magnetic semiconductors.This review,which is organized in two main parts,introduces the recent progress in growth,basic characterization,and device development of ZnO single crystals,and some related works in our group.The first part begins from the growth of ZnO single crystal,and summarizes the fundamental and applied investigations based on ZnO single crystals.These works are composed of the fabrication of homoepitaxial ZnO-based photoelectronic devices,the research on the photocatalysis mechanism,and dilute magnetic mechanism.The second part describes the fabrication of highly thermostable n-type ZnO with high mobility and high electron concentration through intentional doping.More importantly,in this part,a conceptual approach for fabricating highly thermostable p-type ZnO materials with high mobility through an integrated three-step treatment is proposed on the basis of the preliminary research. | Feng Huang Zhang Lin Wenwen Lin Jiye Zhang Kai Ding Yonghao Wang Qinghong Zheng Zhibing Zhan Fengbo Yan Dagui Chen Peiwen Lv Xian Wang | 2014 | Chinese Science Bulletin2014,59,12: | 11 |
| 10 | A two degree of freedom stable quasi-zero stiffness prototype and its applications in aseismic engineering显示文摘In this paper, an archetypal aseismic system is proposed with 2-degree of freedom based on a smooth and discontinuous(SD)oscillator to avoid the failure of electric power system under the complex excitation of seismic waves. This model comprises two vibration isolation units for the orthogonal horizontal directions, and each of them admits the stable quasi-zero stiffness(SQZS)with a pair of inclined linear elastic springs. The equation of motion is formulated by using Lagrange equation, and the SQZS condition is obtained by optimizing the parameters of the system. The analysis shows that the system behaves a remarkable vibration isolation performance with low resonant frequency and a large stroke of SQZS interval. The experimental investigations are carried out to show a high sonsistency with the theoretical results, which demonstrates the improvement of aseismic behavior of the proposed model under the seismic wave. | ZHU GuangNan LIU JiYe CAO QingJie CHENG YongFeng LU ZhiCheng ZHU ZhuBing | 2020 | Science China(Technological Sciences)2020,63,3: | 10 |
| 11 | Poly(methyl methacrylate) bone cement composited with mineralized collagen for osteoporotic vertebral compression fractures in extremely old patients显示文摘To examine the clinical effects of a new bone cement composed of poly(methyl methacrylate)(PMMA)and mineralized collagen(MC)compared with pure PMMA bone cement in treating osteoporotic vertebral compression fractures(OVCFs)in patients aged over 80.In all,32 cases using pure PMMA bone cement and 31 cases using MC-modified PMMA(MC-PMMA)bone cement for OVCFs between June 2014 and March 2016 were screened as PMMA group and MC-PMMA group,respectively,with an average age of over 80.The operation duration,intraoperative blood loss,hospital stay,oswestry disability index(ODI),visual analogue scale(VAS),anterior vertebral height(AVH),intermediate vertebral height(IVH)and posterior vertebral height(PVH)of injured vertebrae,vertebral computed tomography value,re-fracture rate of adjacent vertebrae,correction rate of spinal kyphotic angle and wedge-shaped vertebra angle and surgical complications were compared between the two groups.In the early post-operative period,the VAS,ODI,AVH and IVH in MC-PMMA group were comparable to those in the traditional PMMA group.Moreover,the MC-PMMA group showed better effects compared with the PMMA group 12months after surgery.Thus,this new bone cement has superior clinic effects in the long term. | Kefeng Luo Guoqiang Jiang Jinjin Zhu Bin Lu Jiye Lu Kai Zhang Xiumei Wang Fu-Zhai Cui | 2020 | Regenerative Biomaterials2020,7,1: | 8 |
| 12 | Analysis of users’ electricity consumption behavior based on ensemble clustering显示文摘Due to the increase in the number of smart meter devices,a power grid generates a large amount of data.Analyzing the data can help in understanding the users’electricity consumption behavior and demands;thus,enabling better service to be provided to them.Performing power load profile clustering is the basis for mining the users’electricity consumption behavior.By examining the complexity,randomness,and uncertainty of the users’electricity consumption behavior,this paper proposes an ensemble clustering method to analyze this behavior.First,principle component analysis(PCA)is used to reduce the dimensions of the data.Subsequently,the single clustering method is used,and the majority is selected for integrated clustering.As a result,the users’electricity consumption behavior is classified into different modes,and their characteristics are analyzed in detail.This paper examines the electricity power data of 19 real users in China for simulation purposes.This manuscript provides a thorough analysis along with suggestions for the users’weekly electricity consumption behavior.The results verify the effectiveness of the proposed method. | Qi Zhao Haolin Li Xinying Wang Tianjiao Pu Jiye Wang | 2019 | Global Energy Interconnection2019,2,6: | 7 |
| 13 | Aerodynamic performances and vehicle dynamic response of high-speed trains passing each other显示文摘Based on the aerodynamics and vehicle dynamics,the aerodynamic performances and vehicle dynamic characteristics of two high-speed trains passing each other on the ground,embankment and bridge are studied.Firstly,a train aerodynamic model and a vehicle dynamic model are established.Through the simulation of the two models,the pressure waves,aerodynamic forces,and vehicle dynamic responses are obtained.Then,the pressure waves and aerodynamic forces on different foundations are compared.The results show that the variation trends of pressure wave and aerodynamic forces of trains passing each other on different foundations are almost similar.The peak-to-peak differences in pressure wave and aerodynamic force are below 4% and 3% in three cases in open air.Besides,the differences of security indexes,including coefficient of derailment,wheel unloading rate,the wheelset lateral force,and the wheelrail vertical force,are below 2% among the three cases;the differences of comfort indexes,including the lateral acceleration and the vertical acceleration,are also below 2%.It is concluded that the dynamic performances of trains passing each other are influenced little by different foundations in open air. | Yinghui ZHAO Jiye ZHANG Tian LI Weihua ZHANG | 2012 | Journal of Modern Transportation2012,20,1: | 7 |
| 14 | Dissipation behavior, residue distribution and dietary risk assessment of chlorfenapyr and clothianidin in leek using RRLC-QqQ-MS/MS technique显示文摘Commercial suspension emulsion(SE) of(8% chlorfenapyr + 20% clothianidin), as a pre-registered product in China, was firstly investigated under Chinese open-field conditions. A MWCNTs-based QuEChERS method for simultaneous determination of chlorfenapyr and clothianidin in leek was established and validated through rapid resolution liquid chromatography triples quadrupole tandem mass spectrometry(RRLC-QqQ-MS/MS). Based on this method, the dissipation behaviors, residue distributions and dietary risk probability of these fungicides in leek from two representative locations in China in 2016, which were previously treated with these insecticides at the doses of 420–630 g a.i./ha twice applications, were further investigated for food safety. Dissipation behavior of chlorfenapyr and clothianidin in leek followed first-order kinetics with the half-lives of 2.9–7.2 days, and the highest residues(HR) of these insecticides in leek were below 0.3811 mg/kg and 0.2989 mg/kg, respectively, at the pre-harvest interval(PHI, 7 days). For dietary risk assessments, the risk quotients(RQs) of chlorfenapyr and clothianidin in leek were evaluated by comparing the value of national estimated daily intake(NEDI) with acceptable daily intake(ADI), based on the trials data under good agricultural practices(GAP) conditions. The results indicated that RQs of chlorfenapyr and clothianidin in leek were21.5% and 0.29%, respectively, which exhibited an acceptably low health risk to leek consumption. The current study could not only guide reasonable usage of the formulation, but also facilitate the setting of maximum residue limits(MRLs) of chlorfenapyr and clothianidin in leek for Chinese | Xi Li Xiaoxin Chen Jiye Hu | 2019 | Chinese Chemical Letters2019,30,1: | 7 |
| 15 | Evolution of Tectonic Uplift, Hydrocarbon Migration, and Uranium Mineralization in the NW Junggar Basin: An Apatite Fission-Track Thermochronology Study显示文摘The Mesozoic–Cenozoic tectonic movement largely controls the northwest region of the Junggar Basin(NWJB), which is a significant area for the exploration of petroleum and sandstone-type uranium deposits in China. This work collected six samples from this sedimentary basin and surrounding mountains to conduct apatite fission track(AFT) dating, and utilized the dating results for thermochronological modeling to reconstruct the uplift history of the NWJB and its response to hydrocarbon migration and uranium mineralization. The results indicate that a single continuous uplift event has occurred since the Early Cretaceous, showing spatiotemporal variation in the uplift and exhumation patterns throughout the NWJB. Uplift and exhumation initiated in the northwest and then proceeded to the southeast, suggesting that the fault system induced a post spread-thrust nappe into the basin during the Late Yanshanian. Modeling results indicate that the NWJB mountains have undergone three distinct stages of rapid cooling: Early Cretaceous(ca. 140–115 Ma), Late Cretaceous(ca. 80–60 Ma), and Miocene–present(since ca. 20 Ma). These three stages regionally correspond to the LhasaEurasian collision during the Late Jurassic–Early Cretaceous(ca. 140–125 Ma), the Lhasa-Gandise collision during the Late Cretaceous(ca. 80–70 Ma), and a remote response to the India-Asian collision since ca. 55 Ma, respectively. These tectonic events also resulted in several regional unconformities between the J3/K1, K2/E, and E/N, and three large-scale hydrocarbon injection events in the Piedmont Thrust Belt(PTB). Particularly, the hydrocarbon charge event during the Early Cretaceous resulted in the initial inundation and protection of paleo-uranium ore bodies that were formed during the Middle–Late Jurassic. The uplift and denudation of the PTB was extremely slow from 40 Ma onward due to a slight influence from the Himalayan orogeny. However, the uplift of the PTB was faster after the Miocene, which led to re-uplift and exposure at the surface during the Quaternary, resulting in its oxidation and the formation of small uranium ore bodies. | QIN Mingkuan HUANG Shaohua HE Zhongbo XU Qiang SONG Jiye LIU Zhangyue GUO Qiang | 2018 | Acta Geologica Sinica(English Edition)2018,92,5: | 7 |
| 16 | Crosswind Stability Evaluation of High-Speed Train Using Different Wind Models显示文摘Different wind models are being used for the operational safety evaluation of a high-speed train exposed to crosswinds. However, the methodology for simulating natural wind is of substantial importance in the wind-train system, and different simplified forms of natural wind result in different levels of accuracy. The purpose of the research in this paper is to investigate the effects of different wind models on the operational safety evaluation of high-speed trains. First, three wind models, namely, steady wind model, gust wind model, and turbulent wind model, are constructed. Following this, the algorithms for computing the aerodynamic loads using the wind models are described. A multi-body dynamic model of a vehicle is then set up using the commercial software 'Simpack' for investigating the dynamic behavior of a railway vehicle exposed to wind loads. The rollover risks corresponding to each wind model are evaluated by applying the definition of characteristic wind curves (CWC). The results indicate that the CWC computed using the gust wind model is marginally higher than that computed using the turbulent wind model;the difference is less than 1%. With regard to the steady wind model, the assurance coefficient substantially affects the final CWC. A reasonable agreement of CWC between the steady wind model and turbulent wind model can be obtained by applying an 'appropriate value' of the assurance coefficient. This study included a systematic analysis of the operational safety evaluation results using different wind models;the analysis can serve as a reference basis for different engineering accuracy requirements. | Mengge Yu Rongchao Jiang Qian Zhang Jiye Zhang | 2019 | Chinese Journal of Mechanical Engineering2019,32,3: | 7 |
| 17 | Pessimistic Rough Decision显示文摘With granular computing point of view,this paper first presents a novel rough set model with a multigranulation view,called pessimistic rough decision,where set approximations are defined through using consistent granules among multiple granular spaces on the universe.Then,we investigate several important properties of the pessimistic rough decision model.With introduction of the rough set model,we have developed two types of multigranulation rough sets(MGRS):optimistic rough decision and pessimistic rough decision. These multigranulation rough set models provide a kind of effective approach for problem solving in the context of multi granulations. | QIAN Yuhua LIANG Jiye WEI Wei | 2010 | 浙江海洋学院学报(自然科学版)2010,29,5: | 5 |
| 18 | Interaction potential between micro/nano curved surface and a particle located inside the surface (I):driving forces induced by curvatures显示文摘This paper focuses on the interaction between a micro/nano curved surface and a particle located inside the surface (hereafter abbreviated as in-surface-particle).Based on the exponential pair potential (namely 1/R2k) between particles,the interaction potential between the micro/nano curved surface and the in-surface-particle is derived.The following results are shown:(a) For an even number of exponents in the pair potential,the interaction potential between the micro/nano curved surface and the in-surface-particle can be expressed as a unified function of the mean curvature and Gaussian curvature of the curved surface;(b) the curvatures and the gradients of curvatures of the micro/nano curved surface are the essential factors that dominate the driving force acting on the particle. | WU JiYe YIN YaJun WANG XuGui FAN QinShan | 2012 | Science China(Physics,Mechanics & Astronomy)2012,55,6: | 5 |
| 19 | Numerical Study on Aerodynamic Performance of High-Speed Pantograph with Double Strips显示文摘Pantograph is a critical component of the high-speed train.It collects power through contact with catenary,which significantly affects the running safety of the train.Pantograph with double collector strips is one common type.The aerodynamic performance of the collector strips may affect the current collection of the pantograph.In this study,the aerodynamic performance of the pantograph with double strips is investigated.The numerical results are consistent with the experimental ones.The error in the aerodynamic drag force of the pantograph between numerical and experimental results is less than 5%.Three different conditions of the strips are studied,including the front strip,the rear strip,and the double strips.Results show that the presence of the front strip will affect the lift force of the rear strip,and reduce the resistance of the rear strip under the opening condition.Meanwhile,the rear strip has few effects on the front strip under the opening operation condition.The law of the resistance for the interaction between two strips under the closing condition is similar to the opening one. | Zhiyuan Dai Tian Li Weihua Zhang Jiye Zhang | 2020 | Fluid Dynamics & Materials Processing2020,16,1: | 5 |
| 20 | CONVERGENCE PROPERTIES OF CONJUGATEGRADIENT METHODS WITH STRONG WOLFE LINESEARCH显示文摘In this paper, we investigate the convergence property of the conjugate gradientalgorithms which depend on the search directionsby using different choices for the scalar oh, where 9k is the gradient of f at ac. Undersome assumptions which are slightly weaker than those in [1], we prove a global convergenceresult which allows ac to be set in a wider range than that in [1]. | HAN Jiye LIU Guanghui YIN Hongxia(Institute of Applied Mathematics, Academia Silica, Beijing 100080, China) | 1998 | Systems Science and Mathematical Sciences1998,11,2: | 5 |