• Title/Summary/Keyword: Iteration processes

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REMARKS ON APPROXIMATION OF FIXED POINTS OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS

  • Kim, Tae-Hwa;Kim, Eun-Suk
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.461-475
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    • 2000
  • In the present paper, we first give some examples of self-mappings which are asymptoticaly nonexpansive in the intermediate, not strictly hemicontractive, but satisfy the property (H). It is then shown that the modified Mann and Ishikawa iteration processes defined by $x_{n+1}=(1-\alpha_n)x_n+\alpha_nT^nx_n\ and\ x_{n+1}=(1-\alpha_n)x_n+\alpha_nT^n[(1-\beta_n)x_n+\beta_nT^nx_n]$,respectively, converges strongly to the unique fixed point of such a self-mapping in general Banach spaces.

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Stochastic space vibration analysis of a train-bridge coupling system

  • Li, Xiaozhen;Zhu, Yan
    • Interaction and multiscale mechanics
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    • v.3 no.4
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    • pp.333-342
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    • 2010
  • The Pseudo-Excitation Method (PEM) is applied to study the stochastic space vibration responses of train-bridge coupling system. Each vehicle is modeled as a four-wheel mass-spring-damper system with two layers of suspension system possessing 15 degrees-of- freedom. The bridge is modeled as a spatial beam element, and the track irregularity is assumed to be a uniform random process. The motion equations of the vehicle system are established based on the d'Alembertian principle, and the motion equations of the bridge system are established based on the Hamilton variational principle. Separate iteration is applied in the solution of equations. Comparisons with the Monte Carlo simulations show the effectiveness and satisfactory accuracy of the proposed method. The PSD of the 3-span simply-supported girder bridge responses, vehicle responses and wheel/rail forces are obtained. Based on the $3{\sigma}$ rule for Gaussian stochastic processes, the maximum responses of the coupling system are suggested.

A Study on the New Delay Stopping Criterion of Turbo Code in W-CDMA System (W-CDMA 시스템에서 터보 부호의 새로운 복호지연 감소방식에 관한 연구)

  • Park, No-Jin;Shin, Myung-Sik
    • Journal of The Institute of Information and Telecommunication Facilities Engineering
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    • v.8 no.4
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    • pp.207-215
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    • 2009
  • In recent digital communication systems, the performance of Turbo Code used as the error correction coding method depends on the interleaver size influencing the free distance determination and iterative decoding algorithms of the turbo decoder. However, some iterations are needed to get a better performance, but these processes require large time delay. Recently, methods of reducing the number of iteration have been studied without degrading original performance. In this paper, the new method combining ME (Mean Estimate) stopping criterion with SDR (sign difference ratio) stopping criterion of previous stopping criteria is proposed, and the fact of compensating each method's missed detection is verified Faster decoding realizes that reducing the number of iterative decoding about 1~2 times by adopting our proposed method into serially concatenation of both decoder. System Environments were assumed DS-CDMA forward link system with intense MAI (multiple access interference).

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A MESH INDEPENDENCE PRINCIPLE FOR PERTURBED NEWTON-LIKE METHODS AND THEIR DISCRETIZATIONS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.139-159
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    • 2000
  • In this manuscript we study perturbed Newton-like methods for the solution of nonlinear operator equations in a Banach space and their discretized versions in connection with the mesh independence principle. This principle asserts that the behavior of the discretized process is asymptotically the same as that for the original iteration and consequently, the number of steps required by the two processes to converge to within a given tolerance is essentially the same. So far this result has been proved by others using Newton's method for certain classes of boundary value problems and even more generally by considering a Lipschitz uniform discretization. In some of our earlierpapers we extend these results to include Newton-like methods under more general conditions. However, all previous results assume that the iterates can be computed exactly. This is mot true in general. That in why we use perturbed Newton-like methods and even more general conditions. Our results, on the one hand, extend, and on the other hand, make more practical and applicable all previous results.

Development of Initial Ship Design Analysis System Based on MRA (MRA 기반 선박 초기설계 해석 시스템 개발)

  • Han J.S.;Kwon K.E.;Choi Y.
    • Korean Journal of Computational Design and Engineering
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    • v.10 no.3
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    • pp.217-223
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    • 2005
  • Tight integration between design and analysis processes and the data representation in the ship design application domain have been studied in this paper. Multi-Representation Architecture for design and analysis integration, proposed at Georgia Institute of Technology, has been carefully investigated for the application in the initial ship design stage. The MRA approach facilitates efficient generation of analysis models from the initial ship design data, thus reducing design lead time. Easy generation of analysis model is important because it allows quick analysis iteration under frequent design changes. The SMM, ABB and PBAM are defined for the analysis model of the typical ship structure. Only a part of the typical initial ship design data has been considered in the experimental implementation of the proposed approach. However, the prototype implementation shows that the application of MRA approach in the structural ship design domain is quite feasible. It is also contemplated that the same approach can be extended for other design and analysis views in the ship design domain.

Experimental Studies for Noise Source Positioning Using TDOA Algorithm (TDOA 기법을 이용한 소음원 위치파악에 관한 인구)

  • Rhee, Wook;Choi, Jong-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.138-142
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    • 2006
  • Time Difference of Arrival (TDOA) algorithm was applied to sound source positioning. Using measured microphones signal, difference of distance from source to sensors were estimated by TDOA and speed of sound, and taken by navigational measurements. And iteration procedures were induced to find the actual source location. For the case of stationary and moving sound source, validation test were performed in the anechoic room. In the stationary case, the error of positioning is less then 1.3% in length scale, and it could be seen proper filtering processes were required in the application of moving sound source.

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Radiative Transfer Schemes for Hydrodynamical Stellar Surfaces

  • Bach, K.;Robinson, F.J.;Kim, Y.C.
    • Bulletin of the Korean Space Science Society
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    • 2009.10a
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    • pp.24.4-25
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    • 2009
  • We have investigated the radiational fields through a hydrodynamical stellar model atmosphere. Stellar convection zone is the extremely turbulent region composed of partly ionized compressible gases in high temperature. Moreover, super-adiabatic layers are the transition region in energy transport from convection to radiation. Therefore, opacities and thermodynamic properties due to interaction of matter and radiational fields vary significantly with depth. In order to describe radiational fields accurately, the Opacity Distribution Function (ODF) and the Accelerated Lambda Iteration (ALI) have been applied to hydrodynamic medium. As the first result of our radiative transfer, we present time-dependant variation of radiational fields and thermodynamic structures. Our non-gray transfer model has been compared with the conventional Eddington Approximation. Detailed information of radiational fields and thermodynamic properties will provide deeper insight of physical processes inside stellar atmospheres.

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An Iterative Image Restoration (화상의 반복 복원 처리)

  • 이태홍
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.8
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    • pp.891-897
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    • 1992
  • A local iterative Image restoration method Is Introduced that processes with varying iteration numbers according to the local statistics. In general almost of the Iterative method applies Its algorithm to the whole Image without considering the local pixel informations, which Is not so effective for the processing time. Usually the edges or details have an Important role In visual effect. So in this paper we process the edges or the details many times while In the flat region we just pass over or decrease iterations. This method shows good MSE (Mean Square Error) improvement, better subjective qualify and reduced processing time.

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An Approach for Optimal Dispatch Scheduling Incorporating Transmission Security Constraints (송전계통 안전도 제약조건을 반영한 급전계획 알고리즘 개발에 관한 연구)

  • Chung, Koo-Hyung;Kim, Bal-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.12
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    • pp.597-602
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    • 2005
  • The introduction of competition in electricity market emphasizes the importance of sufficient transmission capacities to guarantee various electricity transactions. Therefore, when dispatch scheduling, transmission security constraints should be considered for the economic and stable electric power system operation. In this paper, we propose an optimal dispatch scheduling algorithm incorporating transmission security constraints. For solving these constraints, the dispatch scheduling problem is decomposed into a master problem to calculate a general optimal power flow (OPF) without transmission security constraints and several subproblems to inspect the feasibility of OPF solution under various transmission line contingencies. If a dispatch schedule given by the master problem violates transmission security constraints, then an additional constraint is imposed to the master problem. Through these iteration processes between the master problem and subproblems, an optimal dispatch schedule reflecting the post-contingency rescheduling is derived. Moreover, since interruptible loads can positively participate as generators in the competitive electricity market, we consider these interruptible loads active control variables. Numerical example demonstrates efficiency of the proposed algorithm.

Strong Convergence Theorems for Asymptotically Nonexpansive Mappings by Hybrid Methods

  • Qin, Xiaolong;Su, Yongfu;Shang, Meijuan
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.133-142
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    • 2008
  • In this paper, we prove two strong convergence theorems for asymptotically nonexpansive mappings in Hibert spaces by hybrid methods. Our results extend and improve the recent ones announced by Nakajo, Takahashi [K. Nakajo, W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003) 372-379], Kim, Xu [T. H. Kim, H. K. Xu, Strong convergence of modified mann iterations for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal. 64 (2006) 1140-1152], Martinez-Yanes, Xu [C. Martinez-Yanes, H. K. Xu, Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006) 2400-2411] and some others.