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On the Block Independence in G-Inverse and Reflexive Inner Inverse of A Partitioned Matrix

Acta mathematica Sinica,English Series 2007年第4期23卷 723-730页

作者： Yong Hui LIU Mu Sheng WEI Institute of Computational Mathematics and Scientific Engineering Computing Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 P. R. China Department of Applied Mathematics Shanghai Finance University Shanghai 201209 P. R. China Department of Mathematics East China Normal University Shanghai 200062 P. R. China

By applying the multiple quotient singular value decomposition QQQQQ-SVD, we study the block independence in g-inverse and reflexive inner inverse of 2× 2 partitioned matrices, and prove a conjecture in [Yiju Wan... 详细信息

关键词： G-inverse reflexive inner inverse partitioned matrices block independence QQQQQ-SVD

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Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

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Communications in computational Physics 2007年第4期2卷 662-683页

作者： Jialin Hong Shanshan Jiang Chun Li Hongyu Liu State Key Laboratory of Scientific and Engineering Computing Institute of Computational MathematicsAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100080P.R.China Graduate School Chinese Academy of SciencesBeijing 100080P.R.China Department of Mathematics The Chinese University of Hong KongShatinN.T.Hong Kong.

In this paper,based on the multi-symplecticity of concatenating symplectic Runge-Kutta-Nystrom(SRKN)methods and symplectic Runge-Kutta-type methods for numerically solving Hamiltonian PDEs,explicit multi-symplectic schemes are constructed and investigated,where the nonlinear wave equation is taken as a model *** comparisons are made to illustrate the effectiveness of our newly derived explicit multi-symplectic integrators.

关键词： Hamiltonian wave equations multi-symplectic integration symplectic Runge-Kutta methods symplectic Runge-Kutta-Nystrom methods.

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Page Segmentation Competition

Page Segmentation Competition

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International Conference on Document Analysis and Recognition

作者： A. Antonacopoulos B. Gatos D. Bridson Pattern Recognition and Image Analysis (PRImA) Research Lab School of Computing Science and Engineering University of Sanford Manchester UK Computational Intelligence Laboratory Institute of Informatics and Telecommunications National Center for Scientific Research Demokritos Athens Greece

This paper continues the authors' attempt to address the need for objective comparative evaluation of layout analysis methods in realistic circumstances. It describes the Page Segmentation Competition (modus operandi, dataset and evaluation criteria) held in the context of ICDAR2007 and presents the results of the evaluation of three candidate methods. The main objective of the competition was to compare the performance of such methods using scanned documents from commonly-occurring publications. The results indicate that although methods continue to mature, there is still a considerable need to develop robust methods that deal with everyday documents.

关键词： Image analysis Performance analysis Image segmentation Text analysis Optical character recognition software Information analysis Pattern recognition Telecommunication computing computational intelligence Informatics

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Handwriting Segmentation Contest

Handwriting Segmentation Contest

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International Conference on Document Analysis and Recognition

作者： B. Gatos A. Antonacopoulos N. Stamatopoulos Computational Intelligence Laboratory Institute of Informatics and Telecommunications National Center for Scientific Research Demokritos Athens Greece Pattern Recognition and Image Analysis (PRImA) Research Lab School of Computing Science and Engineering University of Sanford Manchester UK

This paper presents the results of the handwriting segmentation contest that was organized in the context of ICDAR2007. The aim of this contest was to use well established evaluation practices and procedures in order to record recent advances in off-line handwriting segmentation. Two benchmarking datasets (one for text line and one for word segmentation) were used in a common evaluation platform in order to test and compare all submitted algorithms for handwritten document segmentation in realistic circumstances. The results of the evaluation of five algorithms submitted by participants as well as of two state-of-the-art algorithms are presented. The performance evaluation method is based on counting the number of matches between the text lines or words detected by the algorithms and the text line or words of the ground truth.

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Monotone projected gradient methods for large-scale box-constrained quadratic programming

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Science China mathematics 2006年第5期49卷 688-702页

作者： ZHOU Bin, GAO Li & DAI Yuhong School of mathematical Sciences and LMAM, Peking University, Beijing 100871, China State Key Laboratory of scientific and engineering computing, institute of computational mathematics and scientific/engineering computing, Academy of mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China School of Mathematical Sciences LMAM Peking University Beijing 100871 China State Key Laboratory of Scientific Engineering Computing Institute of Computational Mathematics Scientific/Engineering Computing Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing 100080 China

Inspired by the success of the projected Barzilai-Borwein (PBB) method for largescale box-constrained quadratic programming, we propose and analyze the monotone projected gradient methods in this paper. We show by experiments and analyses that for the new methods,it is generally a bad option to compute steplengths based on the negative gradients. Thus in our algorithms, some continuous or discontinuous projected gradients are used instead to compute the steplengths. Numerical experiments on a wide variety of test problems are presented, indicating that the new methods usually outperform the PBB method.

关键词： projected gradients, monotone gradient methods, box-constrained quadratic programming, large-scale problems.

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Approximation of an eigenvalue problem associated with the stokes problem by the stream function-vorticity-pressure method

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Applications of mathematics 2006年第1期51卷 73-88页

作者： Chen, Wei Lin, Qun School of Economics Shandong University Jinan 250100 China Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and System Sciences Academia Sinica Beijing 100080 China

By means of eigenvalue error expansion and integral expansion techniques, we propose and analyze the stream function-vorticity-pressure method for the eigenvalue problem associated with the Stokes equations on the unit square. We obtain an optimal order of convergence for eigenvalues and eigenfuctions. Furthermore, for the bilinear finite element space, we derive asymptotic expansions of the eigenvalue error, an efficient extrapolation and an a posteriori error estimate for the eigenvalue. Finally, numerical experiments are reported. © 2006 mathematical institute, Academy of Sciences of Czech Republic.

关键词： a posteriori error estimates asymptotic expansion eigenvalue problem extrapolation Stokes problem stream function-vorticity-pressure method

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Conformal Invariant Asymptotic Expansion Approach for Solving （3＋1）-Dimensional JM Equation

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Communications in Theoretical Physics 2006年第6期45卷 979-984页

作者： LI Zhi-Fang RUAN Hang-Yu Department of Physics Ningbo University Ningbo 315211 China Nonlinear Science Center and Physics Department Ningbo University Ningbo 315211 China State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific Engineering Computing Academy of Mathematics and System Sciences the Chinese Academy of Sciences P.O. Box 2719 Beijing 100080 China

The （3＋1）-dimensional Jimbo-Miwa （JM） equation is solved approximately by using the conformal invariant asymptotic expansion approach presented by Ruan. By solving the new （3＋1）-dimensional integrable models, which are conformal invariant and possess Painlevé property, the approximate solutions are obtained for the JM equation, containing not only one-soliton solutions but also periodic solutions and multi-soliton solutions. Some approximate solutions happen to be exact and some approximate solutions can become exact by choosing relations between the parameters properly.

关键词：（3＋1）-dimensional Jimbo-Miwa （JM） equation conformal invariant asymptotic expansion approach Painlevé property approximate and exact solutions

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A mixed finite element method for the unilateral contact problem in elasticity

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Science China mathematics 2006年第4期49卷 513-524页

作者： HUA Dongying & WANG Lieheng The First Fundamental Department, Beijing Information Technology institute, Beijing 100101, China institute of computational mathematics and scientific/engineering computing, Academy of mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 1. The First Fundamental Department Beijing Information Technology Institute Beijing 100101 China 2. Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China

In this paper, we provide a new mixed finite element approximation of the variational inequality resulting from the unilateral contact problem in elasticity. We use the continuous piecewise P2-P1 finite element to approximate the displacement field and the normal stress component on the contact region. Optimal convergence rates are obtained under the reasonable regularity hypotheses. Numerical example verifies our results.

关键词： unilateral contact problem, mixed finite element method.

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BOUNDARY INTEGRAL FORMULAS FOR ELASTIC PLANE PROBLEM OF EXTERIOR CIRCULAR DOMAIN

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Applied mathematics and Mechanics(English Edition) 2006年第7期27卷 993-1000页

作者：董正筑李顺才余德浩 College of Science China University of Mining and Technology Xuzhou 221008Jiangsu ProvinceP.R.China Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences Beijing 100080 P. R. China College of Science China University of Mining and Technology Xuzhou 221008Jiangsu ProvinceP.R.China Industrial School Xuzhou Normal UniversityXuzhou 221011Jiangsu ProvinceP.R.China Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences Beijing 100080 P. R. China

After the stress function and the normal derivative on the boundary for the plane problem of exterior circular domain are expanded into Laurent series, comparing them with the Laurent series of the complex stress function and making use of some formulas in Fourier series and the convolutions, the boundary integral formula of the stress function is derived further. Then the stress function can be obtained directly by the integration of the stress function and its normal derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function is convenient to be used for solving the elastic plane problem of exterior circular domain.

关键词： elastic plane problem of exterior circular domain bi-harmonic equation Fourier series stress function boundary integral formula

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Two-step iterative methods for solving the stationary convection-diffusion equation with a small parameter at the highest derivative on a uniform grid

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computational mathematics and mathematical Physics 2006年第2期46卷 282-293页

作者： Bai, Z.-Z. Krukier, L.A. Martynova, T.S. State Key Laboratory of Scientific/Engineering Computing Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Science Beijing 100080 P.O. Box 2719 China Computer Center Rostov State University Rostov-on-Don 344090 pr. Stachki 200/1 bld. 2 Russian Federation

A stationary convection-diffusion problem with a small parameter multiplying the highest derivative is considered. The problem is discretized on a uniform rectangular grid by the central-difference scheme. A new class of two-step iterative methods for solving this problem is proposed and investigated. The convergence of the methods is proved, optimal iterative methods are chosen, and the rate of convergence is estimated. Numerical results are presented that show the high efficiency of the methods. © MAIK "Nauka/Interperiodica" (Russia), 2006.

关键词： Convergence Dissipative matrix Iterative methods Optimal iterative parameters Transition operator

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