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921.
We study thermoelectric transport under shear strain in two spatial dimensional quantum matter using the holographic duality.General analytic formulae for the DC thermoelectric conductivities subjected to finite shear strain are obtained in terms of black hole horizon data.Off-diagonal terms in the conductivity matrix also appear at zero magnetic field,resembling an emergent electronic nematicity,which cannot nevertheless be identified with the presence of an anomalous Hall effect.For an explici... 相似文献
922.
923.
首先探讨了运输问题"悖论"存在的条件和表上作业法的调整方法,然后指出了通过运输问题数学模型挖潜的方法,最后给出了"多反而少"现象存在的对偶条件. 相似文献
924.
SYMPLECTIC DUALITY SYSTEM ON PLANE MAGNETOELECTROELASTIC SOLIDS 总被引:1,自引:0,他引:1
By means of the generalized variable principle of magnetoelectroelastic solids, the plane magnetoelectroelastic solids problem was derived to Hamiltonian system. In symplectic geometry space, which consists of original variables, displacements, electric potential and magnetic potential, and their duality variables, lengthways stress, electric displacement and magnetic induction, the effective methods of separation of variables and symplectic eigenfunction expansion were applied to solve the problem. Then all the eigen-solutions and the eigen-solutions in Jordan form on eigenvalue zero can be given, and their specific physical significations were shown clearly. At last, the special solutions were presented with uniform loader, constant electric displacement and constant magnetic induction on two sides of the rectangle domain. 相似文献
925.
By means of Lagrange duality theory of the convex program, a dual problem of Hill's maximum plastic work principle under Mises' yield condition has been derived and whereby a non-differentiable convex optimization model for the limit analysis is developed. With this model, it is not necessary to linearize the yield condition and its discrete form becomes a minimization problem of the sum of Euclidean norms subject to linear constraints. Aimed at resolving the non-differentiability of Euclidean norms, a smoothing algorithm for the limit analysis of perfect-plastic continuum media is proposed. Its efficiency is demonstrated by computing the limit load factor and the collapse state for some plane stress and plain strain problems. 相似文献
926.
张石生 《应用数学和力学(英文版)》2006,27(7):883-889
The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results. 相似文献
927.
928.
In this paper, under the assumption that the perturbation function satisfies a growth condition, necessary and sufficient conditions for an exact penalty representation and a zero duality gap property between the primal problem and its augmented Lagrangian dual problem are established. 相似文献
929.
The problems of (bi-)proportional rounding of a nonnegative vector or matrix, resp., are written as particular separable convex
integer minimization problems. Allowing any convex (separable) objective function we use the notions of vector and matrix
apportionment problems. As a broader class of problems we consider separable convex integer minimization under linear equality
restrictions Ax = b with any totally unimodular coefficient matrix A. By the total unimodularity Fenchel duality applies, despite the integer restrictions of the variables. The biproportional
algorithm of Balinski and Demange (Math Program 45:193–210, 1989) is generalized and derives from the dual optimization problem.
Also, a primal augmentation algorithm is stated. Finally, for the smaller class of matrix apportionment problems we discuss
the alternating scaling algorithm, which is a discrete variant of the well-known Iterative Proportional Fitting procedure. 相似文献
930.
Hong-Kun Xu 《Journal of Mathematical Analysis and Applications》2006,314(2):631-643
Let X be a Banach space and A an m-accretive operator with a zero. Consider the iterative method that generates the sequence {xn} by the algorithm xn+1=αnu+(1−αn)Jrnxn, where {αn} and {rn} are two sequences satisfying certain conditions, and Jr denotes the resolvent −1(I+rA) for r>0. Strong convergence of the algorithm {xn} is proved assuming X either has a weakly continuous duality map or is uniformly smooth. 相似文献