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高等学校计算数学学报：英文版

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本刊主要发表具有新思想、新方法的计算数学方向的原创性研究论文，包括数值代数、数值优化、微分方程数值方法、逼近、计算几何、统计计算等等。读者对象主要为高等学校教师、研究生、从事科学计算的研究人员、工程技术人员等。

发文量：524
被引量：71
H指数：3
开始收录时间：1992(1)
CNKI综合因子：0.306
维普期刊影响因子： 0.24
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创刊时间：1991

国内刊号/CN：32-1348/O1

国际刊号/ISSN：1004-8979
发行周期：季刊

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高等学校计算数学学报：英文版 >2009年第2期

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1.SYMPLECTIC SCHEMES OF VORTEX SYSTEM IN HALF PLAIN
- 王雨顺;王薇;
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：Two kinds of symplectic schemes are proposed for the equations of vortex system in half plane.One is the Reflecting-method which is based on the symplectic schemes for the system in the whole plane.The other is constructed directly according to the feature of the system.Aseries of numerical results are presented to show the effectiveness of our schemes.
2.DISCRETE FRIEDRICHS' AND KORN'S INEQUALITIES: PART I
- 邹青松;
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：The use of the finite finite element method leads to replace the initial domain by an approach- ing domain.In part I,the uniform validity of the friedrichs’and Korn’s inequalities in these ap- proaching domains will be proved under some appropriate assumptions.
3.ON LINEARIZED FINITE DIFFERENCE SIMULATION FOR THE MODEL OF NUCLEAR REACTOR DYNAMICS
- 孙志忠;杨梅;石佩虎;陈绍炳;
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：The model of nuclear reactor dynamics is an initial-boundary value problems of a cou- pled nonlinear integrodifferential equation system of one ordinary differential equation and one par-- tial differential equation. In this this,paper,a linearized difference scheme is derived by the method of reduction of order.It is proved that the scheme is uniquely solvable and unconditionally convergent with the convergence rate of order two both in discrete H1norm and in discrete maxinum narm,and one needs only to solve a tridiagonal system of linear algebraic equations at each time lev- el.The method of reduction of order is an indirect constructing-difference-scheme method,which aim is for the analysis of solvablity and convergence of the constructed difference scheme.
4.ON SOME RESULTS ABOUT INEXACT LINEAR PROGRAMMING
- 孙秀真;
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：In this paper we point out that some theorems about the inexact programming in [2]are false and give the modified statement.
5.ERROR ESTIMATES FOR THE FULL-DISCRETE MIXED FEM FOR NONLINEAR HYPERBOLIC PROBLEMS
- 陈艳萍;沈祖和;黄云清;
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：This article treats mixed finite element methods for second order nonlinear hyperbolic e- quations.A fully discrete scheme is presented and improued L2-error estimates are established.The convergence of both the function value and the flux is demonstrated.
6.ITERATIVE APPROXIMATIONS OF φ-HEMICONTRACTIVEMAPPINGS WITHOUT LIPSCHITZ ASSUMPTION
- 黄震宇;
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：Letq>1,and let E be a real q-uniformly smooth Banach space. Let T: E→E be a continuous φstrongly accretive operator.For a given f E,let x*denote the unique solution of the equation Tx=f.Define the operator H:E→E by Hx=f+x-Tx,and suppose that the range of H is bounded. for any x1 E let {xn}∞n=qin E be the Ishikawa iterative process defined by Under suitable comditions,the Ishikawa iterative process strongly converges to the unique solution of Tx=f.the related result deals with the problems that Ishikawa iterative process strongly converges to the unique fixed point of -hemicontractive mappings.These results generalize results of Osilike [2],Chidume[4,5]and Tan[10],Zeng[11]and several other results from the class of strongly assertive operators and the class of strongly pseudocontractive operators to the much more general class of -trongly accrtive and class of -hemicontractive maps.
7.COMPUTING TRACE OF FUNCTION OF MATRIX
- 郑洪斌;
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：for large scale matrix computing the trace of function of the matrix is expensive.Re- cently an effective algorithm based on Monte Carlo method and Gauss type quadrature rule was de- veloped .In this paper,we analyse condition number of this problen,estimate the error of the algo- rithm and give a modified algorithm.In our algorithm the relative error is controllable.
8.Numerical Mathematics Ajournal of Chinese Universities
- 《高等学校计算数学学报：英文版》 | 2007年第2期
9.QUALITATIVE PROPERTIES OF MATRICES APPEARING IN SEVERAL MATHEMATICAL MODELS
- Sui Sun Cheng(Dept.of Math.Tsing Hua UniversityHsinchuTaiwan);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：There are several mathematical models which involve the n by n tridiagonal matrix J_n,where the elements in the main diagonal are equal to 2,and the elements in the sub-andthe super-diagonals are equal to—1.These models include heat diffusion in compartmen-tal systems,steady state temperature distribution,discrete time oscillator,discrete loadedstring in equilibrium,loaded vibrated string,mechanical systems consisting of
10.FROM REAL TO NONREAL SIGN PATTERN MATRICES
- Eschenbach;Carolyn A.;Hall Frank J.;
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：We extend some fundamental concepts of qualitative matrix analysis from sign patternclasses of real matrices to sign pattern classes of nonreal matrlces.Given two angles α≤β,we define a sector in the complex plane to be the set of allnonzero complex numbers whose arguments are in the interval from αto β.H αβ,theinterval could be closed,open,or half-open.Whenever α=β,the sector becomes a ray,
11.LINEAR EQUATIONS OVER CONES,COLLATZ-WIELANDT NUMBERS AND ALTERNATING SEQUENCES
- Bitshun Tam;
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：Let K be a proper cone in R^x,let A be an n×n real matrix that satisfies AK(?)K,letb be a given vector of K,and let λbe a given positive real number.The following two lin-ear equations are considered in this paper:(i)(λⅠ_n-A)x=b,x∈K,and(ii)(A-λⅠ_n)x=b,x∈K.We obtain several equivalent conditions for the solvability of the first equation.
12.SYMMETRIC SIGN PATTERN MATRICES THAT REQUIRE UNIQUE INERTIA
- Hall Frank J.;
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：In qualitative and combinatorial matrix theory,we study properties of a matrix basedon qualitative information,such as the signs of entries in the matrix.A matrix whose en-tries are from the set{+,-,0}is called a sign pattern matrix (or sign pattern).For a re-al matrix B,by sgn (B) we mean the sign pattern matrix in which each positive (respec-tively,negative,zero) entry of B is replaced by+(respectively,-,0).If A is an
13.SIGN PATTERNS REQUIRING ALL DISTINCT EIGENVALUES
- Harris Laura;
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：A sign pattern(matrix)is a matrix whose entries are the symbols+,-and 0.Foran n×n sign pattern matrix A,the sign pattern class of A,denoted by Q(A),is the set ofall n×n real matrices whose entries have signs indicated by the corresponding entries of A.We say that a sign pattern matrix A requires a matrix property P if every real matrix in Q(A)has the property P.A matrix with all distinct eigenvalues has many nice
14.THE FACTORIZATIONS OF GENERIC FIEDLER MATRIX
- Li Yaotang Zhao Liquan(Dept.of Math.Yunnan UniversityKunming 650091PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：The concept of Fiedler matrices was introduced in [1] by L. Stuart and R.Weaver.In[1], they investigated the factorization of Fiedler matrix into Fiedler matrices and pre-sented some open questions i. e. When is a Fiedler matrix factorizable as a product ofFiedler matrices? Are there useful sufficient conditions? If a Fiedler matrix is factorizable,are the factors unique? If not, are the dimensions of the factors unique? In this paper,
15.THE DRAZIN INVERSE OF MATRICES OF QUATERNIONS
- Liao Zuhua (Institute of Math.Xiangtan Polytechnic UniversityXiangtan 411201PRC/Dept.of Math Yingtan Education collegeYingtan 335000PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：Let H be the real quaternion field,C and R be the complex and real field respectively.Clearly R（?）C（?）H. Let Hm×n denote the set of all m×n matrices over H.If A=(a_rs)∈Hm×n,then there exist A₁ and A₂∈Cm×n such that A=A₁+A₂j.Let A_C denote the complexrepresentation of A,that is the 2m×2n complex matrix Ac=（（A₁/A₂）（-A₂/A₁））（see[1,2]）.We denote by AD the Drazin inverse of A∈Hm×n which is the unique solution of the e-
16.A CONSTRUCTIVE PROOF ON HERMITIAN SCALAR PRODUCTS AND DIAGONAL OF H-MATRICES
- Wang xuekuan(Dept.of Math.Hubei UniversityWuhan 430062PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：Suppose that D is a division ring in which there is defined an anti-automorphism α→(?)is involutorial,R is a left vector space over D.Using the given anti-automorphism α→(?),it is easy to turn R into a right vector space over D by seting x(?)=ax.Bilinear form g(x,y)connecting the left vector space R and the right vector space R is a Hermitian scalar.
17.THE BLOCK LOWER BOUNDS FOR THE SMALLEST SINGULAR VALUE
- Zhang Jianguo(Dept.of Math.Taiyuan University of TechnologyTaiyuan 030024PRC)He Bin Wang Chuanlong(Dept.of Math.Teacher College of shanxi UniversityTaiyuan 030012PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：1 Introduction and PreliminariesIt is well known that the smallest singular value of a matrix is important in matrixthoery and applications.Varah and Qi,Johnson gave some results on lower bound of thesmallest singular value[1—4].Here,we use the block partitioned form of a matrix to ob-tain generalized lower bounds for σ_n（A）.Furthermore,by scaling with a matrix D we ob-tain a new lower bound for σ_A of matrices which are not positive definite matrices.
18.THE CONVERGENCE OF FLETCHER-REEVES ALGORITHM
- 聂普炎;莫孜中;
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：As concrns fletcher-Reeues algorithm,Powell showed its convergence in the case of ex- act linear search.In 1985,Al-Baali proved its conver gence when a parameter b2belangs to (0,1/ 2)for inexact linear search.and an open problem was presented for b2 [1/2,1).recently,Lin et al(1993)proved the case if b2=1/2,In this paper,the open problem is solved.
19.THE EFFECT OF NUMERICAL INTEGRATION IN FINITE ELEMENT METHODS FOR NONLINEAR SOBOLEV EQUATIONS
- N’guimbi Germain (Department of Mathematics Shandong University Jinan 250100 PRC.);
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：We study the effect of mumerical integration in Finite Element Methods for nonlinear sobolev equations and give some sufficient conditions on the quadrature scheme to ensure that the or- der of convergence is unaltered in the presence of mumerical integration.Optimal L2and H1 esti- mates for the error and its time derivative are established.
20.ON THE BELLMAN INEQUALITY OF SIMPLICIAL MATRICES
- Zhan Shilin(Hanshan Teachers CollegeChaozhou 521041PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：Since 1980,Bellman inequality was put forward.This arises attention.In[2,3,4,5]there were some good results presented.In this paper we shall obtain the Bellman in-equality of simplicial matrices.
21.RESEARCHES ON INVERSE ORDER RULE FOR WEIGHTED GENERALIZED INVERSE
- 孙文瑜;魏益民;
- 《高等学校计算数学学报：英文版》 | 2000年第2期
摘要：The weighted generalized inverses have several important applications in researching the singular matrices,regularization methods for ill-posed problems, optimization problems and statis- tics problems.In this paper we further research inverse order rules of weighted generalizde inverse. From the view point of munerical algebra, the different methods we used in inverse order rules pro- vide beneficial means for theory and computing of generalized inverse matrices.
22.Change of Journal Title
- Zhiming Chen Editor-in-Chief;
- 《高等学校计算数学学报：英文版》 | 2008年第1期
摘要：The purpose of this note is to draw attention to the change of the journal title from Numerical Mathematics:A Journal of Chinese Universities(English Edition)to Numerical Mathematics: Theory,Methods and Applications(NMTMA).The
23.A NOTE OF MULTIPLICATIVE MAPS ON MATRICES THAT PRESERVE THE SPECTRUM
- Zhang Xian(Dept.of Math.Heilongjiang UniversityHarbin 150080PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：Let U_n（C）,GL_n（C） and M_n（C） be the n-degree unitary group,then n-degree generallinear group and the semigroups of all n×n matrices over complex number field C respec-tively.Hochwald in [1] showed that if f:U_n（C）→M_n（C） is a spectrum-preserving multi-plicative map,then there exists a matrix R in GL_n（C）such that f（A）=R-1AR for all
24.REVERSE ORDER LAW FOR GROUP INVERSE OF PRODUCT OF MATRICES ON SKEW FIELDS
- Liu Yu (Dept.of Math.Hulan Teacher CollegeHulan 150500PRC)Cao Chongguang(Dept.of Math.Heilongjiang UniversityHarbin 150080PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：Let Kn×n be the set of all n×n matrices and K_rn×n the set {A∈Kn×n|rankA=r} on askew field K. Zhuang [1] denotes by A# the group inverse of A∈Kn×n which is the solu-tion of the euqations:AXA=A, XAX=X, AX=AX.
25.THE SQUARE ROOT OF H-MATRIX
- Chen Wenxiang(Department of Mechanical and Electrical EngineeringXiamen UniversityXiamen 361005PRC)Lu Lin(Dept.of Math.Xiamen UniversityXiamen 361005PRC)Liu Zhongyun(Dept.of Math.Shanghai UniversityShanghai 201800PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：1 IntroductionLet A∈Cn×n, B∈Cn×n.We say B is a square root of A if A=B×B i.e.A=B2.It is well-known that any symmetric positive definite matrix exists one and only onesquare root which is a symmetric positive definite matrix,too（e.g.see[5]）.Higham[4]studied carefully the relation of a real nonsingular matrix between its real square rootsand its eigenvalues.Alefeld and Schneider[1]pointed out that for any nonsingular M-ma-trix there is one and only one M-matrix as its square root.In this paper,we study on
26.PROBLEMS AND METHODS IN MATRIX VALUED RATIONAL INTERPOLATION
- Gu Chuanqing(Dept.of Math.Shanghai UniversityShanghai 200436PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：A variety of matrix rational interpolation problems include the partial realizationproblem for matrix power series and the minimal rational interpolation problem for generalmatrix functions.Several problems in circuit theory and digital filter design can also be re-duced to the solution of matrix rational interpolation problems[1—4].By means of thereachability and the observability indices of defined pairs of matrices,Antoulas,Ball,Kang and Willems solved the minimal matrix rational interpolation problem in[1].On
27.COMPLETELY POSITIVE MATRICES WITH (A)=Rank(A)
- Xu Changqing(Dept.of Math.Anhui UniversityHefei 230039PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：Let A be an n×n real symmetric matrix. A is called completely positive (denote A∈CP_n) if A=B’B for some m×n nonnegative matrix B where m is an integer and
28.NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES English Serics Volume 13 2004
- 《高等学校计算数学学报：英文版》 | 2004年第2期
29.DETERMINANTS OF REAL QUATERNION MATRICES
- Li Yangming(Dept.of Math.Educational college of GuangdongGuangzhou 510303PRC/Dept.of MathZhongshan UniversityGuangzhou 510275PRC);
- 《高等学校计算数学学报：英文版》 | 2000年第S1期
摘要：Let Q be the real quaternion field.Let the set of all matrices A=(α_ij)_n×mbe Q_n×mwhere α_ij∈Q,A+ be the conjugate transpose of A.Over a long period of time,there have been various kinds of definitions of determinantover the real quaternion field,but all of them are not concerning the entries of thematrix directly,that is"undirectly".From the point of view how the theory of determi-nant is algebraically developed for skew field,it may be worthwhile defined
30.INFORMATION——INSTRUCTIONS TO AUTHORS
- 《高等学校计算数学学报：英文版》 | 2004年第2期

高等学校计算数学学报：英文版的期刊信息

曾用名：Numerical Mathematics:A Journal of Chinese Universities(English Series);Numerical Mathematics:A Journal of Chinese Universities;高等学校计算数学学报(英文版)
创刊时间：1991
地区：HK
语言：中文
热门主题：CONVERGENCE METHOD NUMERICAL PROBLEM METHODS ALGORITHM MATRICES AN ERROR SYMMETRIC
学科分类：
3

MATHEMATICS:Q1;MATHEMATICS, APPLIED:Q1;

Mathematics:Control and Optimization;Mathematics:Computational Mathematics;Mathematics:Modelling and Simulation;Mathematics:Applied Mathematics;

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