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A NEW PERTURBATION SIMPLEX ALGORITHM FOR LINEARPROGRAMMING

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Journal of Computational mathematics 1999年第3期17卷 233-242页

作者： Ping-qi Pan(department of applied mathematics, southeast university, Naming 210096, China) 东南大学应用数学系江苏南京

In this paper, we first propose a perturbation procedure for achieving dual feasibility, which starts with any basis without introducing artificial variables. This procedure and the dual simplex method are then incorporated into a general purpose algorithm; then, a modification of it using a perturbation technique is made in order to handle highly degenerate problems efficiently. Some interesting theoretical results are presented. Nmerical results obtained are reported, which are very encouraging though still preliminary.

关键词： linear programming simplex method perturbation dual feasibility

Asymptotic bound on binary self-orthogonal codes

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Science China mathematics 2009年第4期52卷 631-638页

作者： DING Yang department of mathematics, southeast university,{3., China 1. department of mathematics Southeast University Nanjing 210096 China

We present two constructions for binary self-orthogonal codes. It turns out that our constructions yield a constructive bound on binary self-orthogonal codes. In particular, when the in-formation rate R = 1/2, by our constructive lower bound, the relative minimum distance δ≈ 0.0595 (for GV bound, δ≈ 0.110). Moreover, we have proved that the binary self-orthogonal codes asymptotically achieve the Gilbert-Varshamov bound.

关键词： algebraic geometry codes concatenated codes Gilbert-Varshamov bound Reed-Muller codes self-dual basis self-orthogonal codes 11T71

SOME ASYMPTOTIC INFERENCE IN MULTINOMIAL NONLINEAR MODELS (A GEOMERIC APPROACH)

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applied mathematics(A Journal of Chinese Universities) 1996年第3期11卷 273-284页

作者： WEI BOCHENG(department of mathematics, southeast university,{3..) department of mathematics Southeast University Nanjing

A geometric framework is proposed for multinomial nonlinear modelsbased on a modified version of the geometric structure presented by Bates & Watts[4]. We use this geometric framework to study some asymptotic inference in terms ofcurvatures for multinomial nonlinear models. Our previous results [15] for ordinarynonlinear regression models are extended to multinomial nonlinear models.

关键词： Curvature array multinomial nonlinear models information loss observed information stochastic expansion variance.

Parabolic equation of the m-Laplacian with nonlinear boundary condition

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Chinese Science Bulletin 1998年第11期43卷 905-908页

作者： WANG Shu+ 1, 2, WANG Mingxin 3. XIE Chunhong 1 1. department of mathematics, nanjing {3., nanjing 210093. China 2. department of mathematics, Henan {3., Kaifeng 475001, China 3. department of applied mathematics, southeast university, department of Mathernntics Nanjing University Nanjing China department of mathematics Henan University Kaifeng China department of applied mathematics Southeast University Nanjing China

The existence and nonexistence of global positive weak solutions of parabolic equation of the m-Laplician with nonlinear boundary condition are dealt with. The necessary and sufficient conditions on the existence of a... 详细信息

关键词： nonlinear boundary condition parabolic equation of m-Laplacian global solution blow-up.

SiC-Mg INTERFACE OF SiC_p/AZ80 COMPOSITE

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中国有色金属学会会刊：英文版 1996年第4期6卷 114-116页

作者： Cai Ye Su Huaqin(department of Mechanical Engineering,southeast university,{3. 210096) southeast UNIV DEPT MECH ENGNNANJING 210096PEOPLES R CHINA

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ＳｉＣ－ＭｇＩＮＴＥＲＦＡＣＥＯＦＳｉＣ_ｐ／ＡＺ８０ＣＯＭＰＯＳＩＴＥ￥ＣａｉＹｅ；ＳｕＨｕａｑｉｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃａｌＥｎｇｉｎｅｅｒｉｎｇ，ＳｏｕｔｈｅａｓｔＵｎｉｖｅｒｓｉｔｙ，Ｎａｎｊｉｎｇ２１００９６）Ａｂｓｔｒ?..

关键词： magnesium alloy composite interface SiC particles

Linearization Ill-Posedness for 2.5-D Ware Equation Inversion Model

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Acta Mathematicae Applicatae Sinica 2002年第2期18卷 219-230页

作者： Ji-jun Liudepartment of mathematics, nanjing Normal {3., nanjing 210097, China & department of applied mathematics, southeast university, nanjing 210018, China department of mathematics Nanjing Normal University Nanjing China department of applied mathematics Southeast University Nanjing China

For the weakly inhomogeneous acoustic medium in Ω={(x,y,z):z>0}, we consider the inverse problem of determining the density function p(x,y). The inversion input for our inverse problem is the wave field given on a line. We get an integral equation for the 2-D density perturbation from the linearization. By virtue of the integral transform, we prove the uniqueness and the instability of the solution to the integral equation. The degree of ill-posedness for this problem is also given.

关键词： Linearization inversion integral geometry ill-posedness

Efficient method of cycle slips detection for dual-frequency GPS data

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中国有色金属学会会刊：英文版 2005年第S1期15卷 22-24页

作者： YU Guo-rong (Survey department of Transportation College, southeast university, nanjing 210096, China) SE Univ Transportat Coll Survey Dept Nanjing 210096 Peoples R China

An algorithm has been developed from various exiting techniques, that provides fully automatic cycle-slip detection at the data preprocessing stage. This algorithm, called pair linear combination, operates on undifferenced or double-differenced, dual frequency carrier phase data, and requires the sampling interval is short. Test results carried out in a variety of situations including static and kinematic modes, short and long baseline situation, and low and high data rates were presented.

关键词： cycle slips geometry free phase pair linear combination

BOUNDEDNESS FROM BELOW OF MULTIPLICATION OPERATORS BETWEEN α-BLOCH SPACES ON THE UNIT BALL

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Acta Mathematica Scientia 2010年第5期30卷 1619-1630页

作者：张敏珠 department of mathematics Southeast University

In this article, we characterize the boundedness from below of multiplication operators between α-Bloch spaces on the unit ball.

关键词： unit ball α-Bloch space multiplication operator boundedness from below

Local and global behavior for algorithms of solving equations

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Chinese Science Bulletin 2001年第6期46卷 441-448,529页

作者： WANG Xinghua & LI Chongdepartment of mathematics, Zhejiang university, Hangzhou 3.0028, China Academy of mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China department of applied mathematics, southeast university, nanjing 210096, China department of mathematics Zhejiang University Hangzhou China Academy of mathematics and System Sciences Chinese Academy of Sciences Beijing China department of applied mathematics Southeast University Nanjing China

The theory of 'point estimate' and the concept of 'general convergence', which were put forward by Smale in order to investigate the complexity of algorithms for solving equations, have been producing a deep impact on the research about the local behavior, the semi-local behavior and the global behavior of iteration methods. The criterion of point estimate introduced by him not only provides a tool for quantitative analysis of the local behavior but also motivates the establishing of the unified determination for the semi-local behavior. Studying the global behavior in the view of discrete dynamical system will lead to many profound research subjects and open up a rich and colorful prospect. In this review, we will make a summarization about the research progress and some applications in nonsmooth optimizations.

关键词： Banach space nonlinear operator equation point esti-mate Sullivan domain nonsmooth optimization.