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ON THE SPLITTINGS FOR RECTANGULAR SYSTEMS

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Journal of Computational mathematics 1995年第4期13卷 337-342页

作者： H.J. Tian(department of mathematics, Shanghai normal university, Shanghai, china) SHANGHAI normal UNIV DEPT MATHSHANGHAIPEOPLES R CHINA

Recently, M. Hanke and M. Neumann([4]) have derived a necessary and sufficient condition on a splitting of A = U-V, which leads to a fixed point system, such that the iterative sequence converges to the least squares solution of minimum a-norm of the system Ax = b. In this paper, we give a necessary and sufficient condition on the splitting such that the iterative sequence converges to the weighted Moore-Penrose solution of the system Ax = b for every to is an element of C-n and every b is an element of C-m. We also provide a necessary and sufficient condition such that the iterative sequence is convergent for every to x(0) is an element of C-n.

关键词： AR Math ON THE SPLITTINGS FOR RECTANGULAR SYSTEMS

New multisoliton solutions of the(2+1)-dimensional dispersive long wave equations

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Communications in Nonlinear Science and Numerical Simulation 2001年第3期6卷 178-182页

作者： Jiefang ZHANG and Ping HAN Institute of Nonlinear Physics, zhejiang normal university, jinhua 32.004, china College of Engineering, zhejiang Ocean university, Zhoushan 316004, china Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China College of Engineering Zhejiang Ocean University Zhoushan 316004 China

Using the extension homogeneous balance method, we have obtained a nonlinear transformation to simplify the (2+1)-dimensional dispersive long wave equations into a linear partial differential equation, and found some ... 详细信息

关键词： multisoliton (2+1)-dimensions dispersive long wave equations

Finite p-groups all of whose maximal abelian subgroups are soft

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Science china mathematics 2010年第11期53卷 3037-3040页

作者： QU HaiPeng department of mathematics, Shanxi normal university, Linfen 041004, china 1. department of mathematics Shanxi Normal University Linfen 041004 China

A subgroup A of a p-group G is said to be soft in G if CG(A) = A and |NG(A)/A| = p. In this paper we determined finite p-groups all of whose maximal abelian subgroups are soft; see Theorem A and Proposition 2.4.

关键词： soft subgroup p-group of maximal class

AVERAGE σ-K WIDTH OF CLASS OF L_p(R^n) IN L_q (R^n)

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Chinese Annals of mathematics,Series B 1995年第3期16卷 351-360页

作者： LIU YONGPING(department of mathematics, Beijing normal university, Beliing 100875, china.) BEIJING normal UNIV DEPT MATHBEIJING 100875PEOPLES R CHINA

The average σ-K width of the Sobolev-Wiener class in Lq(Rn) is studied for and the asymptotic behaviour of this quantity is determined. The exact value of average σ-K width of some class of smooth functions in L2(Rn... 详细信息

关键词： Average σ-K width Optimal subspace,Sobolev-Wiener class,Riesz potential.

SOLVING GENERALIZED FRACTIONAL PROGRAMMING WITH p+1-PARAMETER PROGRAMMING

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Chinese Science Bulletin 1989年第8期34卷 699-700页

作者：徐增堃 department of mathematics Zhejiang Normal University Jinhua

For the generalized fractional programming （P） where S is a nonempty subset of Rn, fi and gi are real-valued functions on S, and gi are positive on S, we propose the following program with p+1 parameters （α,θ）∈... 详细信息

关键词： nonempty fractional valued subset 吕才

Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures

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Science china mathematics 2007年第3期50卷 361-376页

作者： Jing-shi XU department of mathematics, Hunan normal university, Changsha 410081, china department of mathematics Hunan Normal University Changsha 410081 China

The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RMBO(μ) functions of Tolsa with non-doubling measures is obtained, provided that ∥μ∥ = ∞ and multilinear singular... 详细信息

关键词： multilinear singular integral commutator maximal function non-doubling measure RMBO(μ) function Primary 42B20 Secondary 42B25

Global stability of the plane wave solutions to the relativistic string equation with non-small perturbations

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Science china mathematics 2024年

作者： jinhua Wang Changhua Wei School of Mathematical Sciences Xiamen University department of mathematics Zhejiang Sci-Tech University

This paper is concerned with the global stability of the plane wave solutions to the relativistic string equation with non-small perturbations. Under certain decay assumptions on the plane wave, we conclude that the perturbed system admits a globally smooth solution if the perturbation along the transversal direction is sufficiently small, while the travelling direction is allowed to be large. By choosing a gauge adapted to the plane wave solution, we deduce an equivalent Euler-Lagrangian equation for the perturbation whose quasilinear structure is reflected precisely in the induced geometry of the relativistic string. It then helps to proceed with a geometrically adapted and weighted energy argument for which robust estimates suffice. Moreover, due to the non-trivial background solutions, the induced metric of the relativistic string involves linear perturbations with undetermined signs, and hence a key observation is needed to guarantee that the energies associated with the multipliers are positive up to lower-order terms.

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Different-Periodic Travelling Wave Solutions for Nonlinear Equations

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Communications in Theoretical Physics 2004年第4期41卷 481-486页

作者： YE Li-Jun~1 LIN Ji~(1,2)1 department of Physics,zhejiang normal university,jinhua 32.004,china2 Physics department,Shanghai Jiao Tong university,Shanghai 200030,china Physics department Shanghai Jiao Tong University Shanghai 200030 China

Using Jacobi elliptic function linear superposition approach for the(1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera(CDGSK)equation and the(2+1)-dimensional Nizhnik-Novikov-Veselov(NNV)equation,many new periodic travelling wave solutions with different periods and velocities are obtained based on the knownperiodic *** procedure is crucially dependent on a sequence of cyclic identities involving Jacobi ellipticfunctions sn(ξ,m),cn(ξ,m),and dn(ξ,m).

关键词： linear superposition nonlinear equation travelling wave solution

normal Functions and α-normal Functions

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Acta Mathematica Sinica,English Series 2000年第3期16卷 399-404页

作者： Yan Xu department of mathematics,Nanjing normal university,Nanjing 210097 P.R.china department of mathematics Nanjing Normal University Nanjing 210097 P. R. China

This paper has studied two open questions about normal functions due to Lappan,and obtained two corresponding results for α-normal functions.

关键词： Spherical derivative normal function α-normal function