The Generalized Conjugate Direction Method for Constrained Optimization A Geometrical Approech

The conjugate direction method for solving the unconstrained optimization problem is extended to solving the constrained optimization problem by method of differential geomtry.By inducing a new class of affine connections on a constrained sub-manifold, the primary constrched optilnhation problem is converted to a unconstrained local quadratic programming problem.Based on the definition and construction of a new class of generalized conjugate directions, it isproved that optimum value of the primary constrained optimization problem must be located on thegeodesic line which is formed by the conjugate directions mentioned above and can be reached withinfinite searching step. Therefore a new curve search algorithm with generalized conjugate directions isput forward.     

Generalized Nonlinear Set-valued Variational Inclusions Involving H-monotone Mappings

A new class of generalized nonlinear set-valued variational inclusions involving H-monotone mapping are introduced and studied. By using the properties of the resolvent operator associated with a H-monotone mappings in Hilbert spaces. An existence theorem of solution for the generalized nonlinear set-valued variational inclusions involving H-monotone mappings is established and a new algorithn is constructed. The author proves the iterative sequences generated by the algorithm strongly converge to its exact solution. Our results improve and generalized known corresponding and results.     

Generalized Convex Properties of Set_Valued Mapping andTheir Applications in Multiobjective Optimization

The relationship between tangent derivative and generalized corvex of set_valued mapping is dealt with in this paper.Then these properties and concepts are applied to optimization problems.Generalized convex properties of perturbation mapping is proved under certain conditims.     

OPERATION PROPERTIES OF r-CONVEX FUNCTIONS

Generalized convex function is a generalization of convex func-tion,including pseudoconvex function,quasiconvex function,r-convex function,etc.The properties and operation properties of generalized convex functionplay an imporant role in generalized convex programming.Xue Jiasheng discu-sed the constructive method of pseudoconvex function;J.P.Crouzeix dicussedthe properties of quasiconvex function.This paper only discusses a class ofgeneralized convex function,r-convex functions.     

EXISTENCE OF A BASIC OPTIMAL SOLUTION FOR LINEAR VECTOR EXTREME VALUE PROBBEM

In this paper, the concept of basic for linear vector extreme value problem is introduced in the partially ordered vector space. Some properties and results of the linear programming are generalized. And the existaence therom of basic optimal solution is proved.     

A INTERESTING SEQUENCE OF REAL NUMBER AND THEIR PROPERTIES

The yandongkai' s 2-stories "v' shape sequence of natural number is generalized to 2-stories and n-stories "v" shape sequence of real number,and some very interesting properties are given.x     

NONLINEAR ELASTIC-DAMAGE CONSTITUTIVE EQUATION OF BRITTLE ROCK AND EXPERIMENAAL VERIFICATION

on the basis of the experimental studies of mechanical properties in brittle rock,the generalized elastic modulus,generalized elastic Poisson ratio,irreversible deformation Poisson ratio and damage deformation characteristic arediscussed.And then,a new damage variable is defined.A new nonlinear elastic-damage constitutive equation is built and the damage evolution equation is proposed.The nonlinear elastic-damage constitutive equation is verified in the uniaxialcompression test of quartz sandstone in Chongqing.The results show that reasonableagreement exists between the theoretical analysis and the experimental data.     

Optimality Conditions and Lagrange Duality for a Class of Vector Extremum Problems

A sufficient and necessary optimality conditions is established for vector extremum problems with set constraint by applying the alternative theorem under generalized subconvexlike maps in orderd locally-convex Hausdorff spaces. Then, several optimality conditions are obtained for differentiable vector extremum problems with set constraint by applying the sufficient and necessary optimality conditions and the properties of the twice G-differentiable functions. And finally, the vector-valued Lagrange duality is obtained for the vector extremum problems.     

Approach for Calculating Short Circuit on Transrmission Lines by Using Piece-wise Method with Structure Network Fault

Based on the properties of linear network,a new generalized diakoptical modeland its algorithm are presented in the paper to calculate short circuit at the arbitrary location on anytransmission line of large-scale power systems,in which the proposed techniques of transferring faultport current,and modifying nodal current sources and column impedence elements, are appliedcomprekensively. The method given here is espocially efficient to calculate short circuit in piece-wisemethod for any mutually coupled cuts between subdivisions in the system with constant or variablestructures. And it is an important improvement for short-circuit current calculation.     

VARIATION OF LOCALLY LIPSCHITZ FUNCTION ON FINSLER MANIFOLD

In this paper, we generalize the generalized gradient of clarke on Banach manifold to the case of Finsler manifold and discuss the variational property of corresponding locally Lipschitz function, such as pseudo-gradient vector field, deformation lemma and Morse inequality.     

One intra prediction mode selection algorithm based on edge direction detection in H.〖STHZ〗264〖ST〗

Motion estimation is the most complex part in H.264. Intra prediction is an important part of motion estimation. There are a number of intra prediction modes in H.264, which no doubt greatly increase encoding complexity. In intra prediction, the way of choosing prediction method is rate distortion optimization or using correlation properties. For complexity problem, the paper provides an improved intra prediction mode selection algorithm. This algorithm uses a new detection method to detect the pixel correlation in the direction of mode selection. Test results show that the algorithm has reduced the computational complexity and increased the encoding speed highly in the premise of ensuring video quality.     

Constitutive Description of Precreep-Plasticity with Experimental Verification

In this paper we put forword a constitutive model based on thermodynamics,Byintroducing generalized time scale, unified constitutive equation including descoription of creep,plasticity and the creep-plasticity interaction effects, is presented,It is shown that the present unifiedconstitutive equation includes plasticity as one special case(dt=0)and creep as the other one(ds=0).By means of analysis of material subetructure for creep, plasticity and creep-plasticityinteraction,a multiplicative harderung function analysis developed here has been compared with Ohashi'sexperimental results,It seem that the present theory could satisfactorily describe Ohashi'sexperimental results.     

Direction analysis on Contactless Power Transmission System

After analysis on the direction relationship betueen primary side and secondary side of existing contactless power transmission system, a random rotatable pick-up is proposed. Two connecting modes of three orthogonal wound coils are studied. Based on analysis and mathematical calculation, instantaneous output voltage and its ratio to the maximal and minimal value when the pick-up rotate in three-dimensional space is given. All the calculation is verified by experiment results.     

THE THEOREM OF STATIONARY VALUE OF WEIGHTED ENERGY AND ITS WEIGHTING FUNCTIONS

This paper presents two energy functionals which are made as stationary values. Thus, the theorem of stationary value of weighted generalized potential energy and the theorem of stationary value of weighted generalized complementary energy are established. In the first theorem, the stress boundary weighting function must be equal to the internal weighting function while the displacement boundary weighting function is independen; and in the (?)econd theorem, the displacement boundary weighting function must be equal to the internal weighting function while the stress boundary weighting function is independent.     

The Research of the Mathematical Relationship Between RC Electrical Network and Viscoelasticity

The duality principle in electrical network was generalized to establish the one to one correspondence between generalized linear viscoelastic model and RC electrical network.On this basis,a guess was proved to be true that any generalized linear viscoelastic model with arbitrary complexity can be simplified as generalized Voigt chain equivalently.     

Optimality Conditions for Vector Optimization of Set-valued Maps

Kuhn Tucker optimality conditions and Lagrange multipliers for vector optimization problems with subconvexlike set valued maps wereestablished by Li zemin. Firstly, the concept of generalized subconvexlikeness for set valued maps is introduced in this paper. Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established. Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.     

Estimation Methods for DOA Based on Smart Antenna

Smart antenna is one of the key technique in the third generation mobile telecommunication system. Main estimation methods for DOA(direction of arrival),i.e. ESPRIT, MUSIC, WSF, Mininorm,etc., are researched,the performances for DOA estimation based on smart antenna are analyzed by the research of theory, simulation experiment and the contrast algorithms between and Cramer Rao Bound.The research results aren't only propitious to research and develop for smart antenna,but also for the application of smart antenna in mobile telecommunication.     

A RELIABILTY CAPACITY OPTIMIZATION ALGORITHM FOR STOCHASTIC FLOW NETWORKS

A model and a heuristic algorithm for reliabilty op timi zation in generalized stochastic flow networks are proposed in this paper. The stochastic characteristic of the demands at terminal nodes is considered in the model. The algorithm proposed is powerful and can be applied to optimal planning of transmission capacity for large scale stochastic flow networks, because it can facilitate a fast location of optimal capacity expansion from the information obtained by the last iteration by making full use of the relationships of the k-weak link set and failure events set to the paramsters in generalized stochastic flow networks     

Image denoising based on the complex direction of filter banks and blockshrink

A new image denoising algorithm based on the complex direction of filter bands and BlockShrink is proposed. The image is decomposed based on the complex direction of filter bands to obtain the coefficients. Then, according to the coefficient correlation, the block threshold method is used to select the best block size and the threshold. In this way, the unbiased risk estimation of each sub-band is minimized. The algorithm is entirely data-driven easy to implement and with good visual effects. Experiments show that the proposed algorithm increase the PSNR by 0.6 percent compared with the algorithm based on DWT-BlockShrink transform, and the edge and countour information are more clearly.     

基于广义谐振理论的输电线路中波无源干扰谐振频率预测

现有IEEE（institute of electrical and electronics engineers）标准,目前只能明确0.5~1.7 MHz有限频段的输电线路无源干扰谐振机理。为拓展输电线路无源干扰谐振的研究频率,引入广义谐振理论,提出了一种基于电磁场能量平衡的干扰谐振频率预测构想。将大尺度空间下输电线路铁塔阵列及天线等效为广义封闭系统,从而基于复坡印廷定理,推导了电磁开放系统广义谐振因子的表达式,求解得到的广义谐振因子零值点为无源干扰谐振频点。该方法由于避开了传统将铁塔等效为半波天线的局限,因此可以实现中波频段无源干扰谐振预测。采用IEEE标准算例进行验证,结果表明：1.7 MHz频率以下,基于广义谐振理论的无源干扰谐振频率预测值和缩比模型实测值最大误差不超过±0.169 MHz。