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| 1 | The Constrained Solutions of Two Matrix Equations | An Ping LIAO Zhong Zhi BAI Department of Mathematics. Hunan University. Changshu, 410082. P. R. China Department of Mathematics and Information Science, Changsha University, Changsha 410003. P. R. China Academy of Mathematics and System. Sciences. Chinese Academy of Sciences. Beijing 100080. P. R. China State Key Laboratory of Scientific/Engineering Computing. Chinese Academy of Sciences. Institute of Computational Mathematics and Scientific/Engineering Computing. Academy of Mathematics and System Sciences. Chinese Academy of Sciences. P. O. Box 2719. Beijing 100080. P. R. China | 2002 | Acta Mathematica Sinica,English Series2002，18，4： | 40 |
| 2 | Study on Moist Potential Vorticity and Symmetric Instabilityduring a Heavy Rain Event Occurred inthe Jiang-Huai Valleys显示文摘1.IntroductionSubsequenttothe1970s,manynativemeteorologicalresearchersdiscoveredthatmesoaiscalesymmetricinstabilitydisturbanceislikelytoplayanimportantroleintriggeringandorganizingbandedconvectionandresponsibledirectlyformultiplerain--bands.Asahighly... | 寿绍文 李耀辉 | 1999 | Advances in Atmospheric Sciences1999，16，2： | 13 |
| 3 | 行(或列)对称矩阵的满秩分解及其算法显示文摘1 引言矩阵满秩分解是线性代数的基本分解方法之一,在广义逆矩阵的求解过程中起着重要的作用.矩阵A的满秩分解及A的Moore-Penrose逆不仅有着广泛的现实应用,而且也有理论研究意义,尤其是在数理统计,系统理论,优化计算和控制论等许多领域应用十分广泛.如用计算机对具有对称性质的图像进行采样。 | 王震 蔺小林 蒋耀林 | 2005 | 高等学校计算数学学报2005，27，S1： | 13 |
| 4 | A REGULARIZED CONJUGATE GRADIENT METHOD FOR SYMMETRIC POSITIVE DEFINITE SYSTEM OF LINEAR EQUATIONS显示文摘AbstractA class of regularized conjugate gradient methods is presented for solving the large sparse system of linear equations of which the coefficient matrix is an ill-conditioned symmetric positive definite matrix. The convergence properties of these methods are discussed in depth, and the best possible choices of the parameters involved in the new methods are investigated in detail. Numerical computations show that the new methods are more efficient and robust than both classical relaxation methods and classical conjugate direction methods. | Zhong-zhi Bai Shao-liang Zhang | 2002 | Journal of Computational Mathematics2002，20，4： | 13 |
| 5 | 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 |
| 6 | On semisymmetric cubic graphs of order 6p^(2)显示文摘A graph Γ is said to be G-semisymmetric if it is regular and there exists a subgroup G of A := Aut(Γ) acting transitively on its edge set but not on its vertex set. In the case of G = A, we call Γ a semisymmetric graph. The aim of this paper is to investigate (G-)semisymmetric graphs of prime degree. We give a group-theoretical construction of such graphs, and give a classification of semisymmetric cubic graphs of order 6p2 for an odd prime p. | LU Zaiping, WANG Changqun & XU MingyaoLMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China Department of Mathematics, Zhengzhou University, Zhengzhou 450052, ChinaPresent address: Department of Mathematics, Qufu Normal University, Qufu 273165, China. | 2004 | Science China Mathematics2004，47，1： | 11 |
| 7 | Carbon foam with microporous structure for high performance symmetric potassium dual-ion capacitor显示文摘A novel carbon foam with microporous structure(CFMS),with the advantages of a simple fabrication process,low energy consumption,large specific surface area and high conductivity,has been prepared by a facile one-step carbonization.In addition,the carbon foam possesses suitable interlayer spacing in short range which is flexible to accommodate the deformation of carbon layer caused by the ion insertion and deinsertion at the charge and discharge state.Furthermore,a low cost carbon-based symmetric potassium dual-ion capacitor(PDIC),which integrates the virtues of potassium ion capacitors and dual-ion batteries,is successfully established with CFMS as both the battery-type cathode and the capacitor-type anode.PDIC displays a superior rate performance,an ultra-long cycle life(90%retention after 10000 cycles),and a high power density of 7800 W kg^-1 at an energy density of 39Whkg^-1.The PDIC also exhibits excellent ultrafast charge and slow discharge properties,with a full charge in just 60 s and a discharge time of more than 3000 s. | Yanhong Feng Suhua Chen Jue Wang Bingan Lu | 2020 | Journal of Energy Chemistry2020，29，4： | 10 |
| 8 | Nash Inequalities for General Symmetric Forms | Mufa Chen Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China | 1999 | Acta Mathematica Sinica,English Series1999，15，3： | 10 |
| 9 | Bloch Constant of Holomorphic Mappings on Bounded Symmetric Domains显示文摘The estimation of the lower bound of the Bloch constant of holomorpbicmappings on irreducible bounded symmetric domains is given. | 严志敏 龚升 | 1993 | Science China Mathematics1993，36，3： | 9 |
| 10 | 基于ICE方式SIP穿透Symmetric NAT技术研究显示文摘基于IP的语音、数据、视频等业务在NGN网络中所面临的一个实际困难就是如何有效地穿透各种NAT的问题。对此,会话初始化协议SIP以往的解决方法有ALGs、STUN、TURN等方式,但它们都具有一定的局限性。探讨了一种新的媒体会话信令穿透NAT的解决方案——交互式连通建立方式(ICE)。它通过综合利用现有协议,以一种更有效的方式来组织会话建立过程,使之在不增加任何延迟的同时,比STUN等单一协议解决NAT穿透问题更具有健壮性、灵活性。详细介绍了ICE算法流程,并设计一个实例针对SIP信令协议穿透SymmetricNAT流程进行了描述,最后总结ICE的优势及应用前景。 | 曾立 吴平 高万林 武文娟 | 2005 | 计算机工程与设计2005，26，11： | 9 |
| 11 | Logarithmic Sobolev inequality for symmetric forms显示文摘Some estimates of logarithmic Sobolev constant for general symmetric forms are obtained in terms of new Cheeger’s constants. The estimates can be sharp in some sense. | 陈木法 | 2000 | Science China Mathematics2000，43，6： | 8 |
| 12 | Exceptional groups of Lie type and flag-transitive triplanes显示文摘A triplane is a ( v, k, 3)-symmetric design. Let G be a subgroup of the full automorphism group of a triplane D. In this paper we prove that if G is flag-transitive and point-primitive, then the socle of G cannot be a simple exceptional group of Lie type. | ZHOU ShengLin & DONG HuiLi Department of Mathematics, South China University of Technology, Guangzhou 510640, China | 2010 | Science China Mathematics2010，53，2： | 7 |
| 13 | Sporadic groups and flag-transitive triplanes显示文摘Let D be a triplane, i.e., a 2-(v,k,3) symmetric design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G is flag-transitive point-primitive, then the socle of G cannot be a sporadic simple group. | ZHOU ShengLin DONG HuiLi | 2009 | Science China Mathematics2009，52，2： | 7 |
| 14 | Schur convexity for a class of symmetric functions显示文摘The Schur convexity and concavity of a class of symmetric functions are discussed, and an open problem proposed by Guan in 'Some properties of a class of symmetric functions' is answered. As consequences, some inequalities are established by use of the theory of majorization. | CHU YuMing 1, XIA WeiFeng 1 & ZHAO TieHong 2 1 Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China 2 Institut de Mathmatiques, Universit Pierre et Marie Curie, Paris F-75252, France | 2010 | Science China Mathematics2010，53，2： | 6 |
| 15 | On the composition operators on the Bloch space of several complex variables显示文摘In this paper we first look upon some known results on the composition operator as bounded or compact on the Bloch-type space in polydisk and ball, and then give a sufficient and necessary condition for the composition operator to be compact on the Bloch space in a bounded symmetric domain. | ZHOU Zehua & CHE Renyu Department of Mathematics, Tianjin University, Tianjin 300072, China LiuHui Center for Applied Mathematics, Nankai University & Tianjin University,Tianjin 300072, China | 2005 | Science China Mathematics2005，48，z1： | 6 |
| 16 | 基于ICE方式H.323信令穿越Symmetric NAT技术研究显示文摘基于IP的数据、语音、视频等业务在NGN网络中所面临的一个实际困难就是如何有效地穿越各种NAT/FW的问题。对此,H.323协议以往的解决方法有ALGs,STUN,TURN等方式。本文探讨了一种新的H.323信令穿越NAT/FW的解决方案—交互式连通建立方式(ICE)。它通过综合利用现有协议,以一种更有效的方式来组织会话建立过程。并设计一个实例针对H.323信令协议穿越Symmetric NAT流程进行了描述,最后总结了ICE的优势及应用前景。 | 陈晓铭 吴中福 陈蕾 | 2006 | 计算机科学2006，33，8： | 6 |
| 17 | A CLASS OF MODIFIED BROYDEN ALGORITHMS显示文摘In this paper we discuss the convergence of the modified Broyden algorithms.We prove that the algorithms are globally convergent for the colltinuous differen tiable function and the rate of convergence of the algorithms is one-step superlinear and n-step second-order for the uniformly convex objective function. From the dis-cussion of this paper, we may get some convergence properties of the Broyden | PU, DG TIAN, WW | 1994 | Journal of Computational Mathematics1994，12，4： | 6 |
| 18 | A Universal Method Determining Hawking Effect in Spherically Symmetric or Plane-Symmetric Non-static Space-Times显示文摘A universal proof to the new method determining the location and the temperature of event horizons is given.The method is valid to every non-static spherically symmetric or plane-symmetric space-time.An additional term appears in the standard form of wave equation near the event horizon in the spherically symmetric case.The coefficient of this term is just the relative change rate of entropy of the black hole. | ZHAO Zheng | 1992 | Chinese Physics Letters1992，9，9： | 5 |
| 19 | Path-following interior point algorithms for the Cartesian P_*(κ)-LCP over symmetric cones显示文摘In this paper, we establish a theoretical framework of path-following interior point al- gorithms for the linear complementarity problems over symmetric cones (SCLCP) with the Cartesian P*(κ)-property, a weaker condition than the monotonicity. Based on the Nesterov-Todd, xy and yx directions employed as commutative search directions for semidefinite programming, we extend the variants of the short-, semilong-, and long-step path-following algorithms for symmetric conic linear programming proposed by Schmieta and Alizadeh to the Cartesian P*(κ)-SCLCP, and particularly show the global convergence and the iteration complexities of the proposed algorithms. | LUO ZiYan XIU NaiHua | 2009 | Science China Mathematics2009，52，8： | 5 |
| 20 | Investigation on charge parameters of underwater contact explosion based on axisymmetric SPH method显示文摘This paper investigates the effects of charge parameters of the underwater contact explosion based on the axisymmetric smoothed particle hydrodynamics(SPH) method. The dynamic boundary particle is proposed to improve the pressure fluctuation and numerical accuracy near the symmetric axis. An in-depth study is carried out over the influence of charge shapes and detonation modes on the near-field loads in terms of the peak pressure and impulse of shock waves. For different charge shapes, the cylindrical charge with different length-diameter ratios may cause strong directivity of peak pressure and impulse in the near field. Compared with spherical charge, the peak pressure of cylindrical charge may be either weakened or enhanced in different directions. Within a certain range, the greater the length-diameter ratio is, the more obvious the effect will be. The weakened ratio near the detonation end may reach 25% approximately, while the enhanced ratio may reach around 20% in the opposite direction. However, the impulse in different directions seems to be uniform. For different detonation modes, compared with point-source explosion, the peak pressure of plane-source explosion is enhanced by about 5%. Besides, the impulse of plane-source explosion is enhanced by around 5% near the detonation end, but close to those of the point-source explosion in other directions. Based on the material constitutive relation in the axisymmetric coordinates, a simple case of underwater contact explosion is simulated to verify the above conclusions, showing that the charge parameters of underwater contact explosion should not be ignored. | 明付仁 孙鹏楠 张阿漫 | 2014 | Applied Mathematics and Mechanics(English Edition)2014，35，4： | 5 |
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