• Title/Summary/Keyword: Iteration Method

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A Study on the Ranked Bidirectional Evolutionary Structural Optimization (등급 양방향 진화적 구조 최적화에 관한 연구)

  • Lee, Yeong-Sin;Ryu, Chung-Hyeon;Myeong, Chang-Mun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.9
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    • pp.1444-1451
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    • 2001
  • The evolutionary structural optimization(ESO) method has been under continuous development since 1992. The bidirectional evolutionary structural optimization(BESO) method is made of additive and removal procedure. The BESO method is very useful to search the global optimum and to reduce the computational time. This paper presents the ranked bidirectional evolutionary structural optimization(R-BESO) method which adds elements based on a rank, and the performance indicator which can estimate a fully stressed model. The R-BESO method can obtain the optimum design using less iteration number than iteration number of the BESO.

SINGLE STEP REAL-VALUED ITERATIVE METHOD FOR LINEAR SYSTEM OF EQUATIONS WITH COMPLEX SYMMETRIC MATRICES

  • JingJing Cui;ZhengGe Huang;BeiBei Li;XiaoFeng Xie
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1181-1199
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    • 2023
  • For solving complex symmetric positive definite linear systems, we propose a single step real-valued (SSR) iterative method, which does not involve the complex arithmetic. The upper bound on the spectral radius of the iteration matrix of the SSR method is given and its convergence properties are analyzed. In addition, the quasi-optimal parameter which minimizes the upper bound for the spectral radius of the proposed method is computed. Finally, numerical experiments are given to demonstrate the effectiveness and robustness of the propose methods.

The Influence of the Loading Sizes on Natural Frequency of the Advanced Composite Material Structures (복합신소재구조물의 고유진동수에 대한 하중크기의 영향)

  • Han, Bong Koo
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.17 no.3
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    • pp.20-27
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    • 2013
  • Simple Iteration Method for calculating the natural frequency is presented in this paper. This method is simple but exact method of calculating natural frequencies corresponding to the modes of vibration of beams and tower structures with irregular cross sections and arbitrary boundary conditions. This method consists of determining the deflected mode shape of the member due to the inertia force under resonance condition. Finite difference method is used for this purpose. The influence of the $D_{22}$ stiffness on the natural frequency is rigorously investigated. In this paper, the influence of the loading sizes, different cross section on the natural frequency of vibration of some structural elements is presented. This method extends to two dimensional problems including advanced composite material structures.

STRONG CONVERGENCE THEOREM OF FIXED POINT FOR RELATIVELY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Qin, Xiaolong;Kang, Shin Min;Cho, Sun Young
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.3
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    • pp.327-337
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    • 2008
  • In this paper, we prove strong convergence theorems of Halpern iteration for relatively asymptotically nonexpansive mappings in the framework of Banach spaces. Our results extend and improve the recent ones announced by [C. Martinez-Yanes, H. K. Xu, Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006), 2400-2411], [X. Qin, Y. Su, Strong convergence theorem for relatively nonexpansive mappings in a Banach space, Nonlinear Anal. 67 (2007), 1958-1965] and many others.

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ON ASYMPTOTICALLY DEMICONTRACTIVE MAPPINGS IN ARBITRARY BANACH SPACES

  • Rafiq, Arif;Lee, Byung Soo
    • East Asian mathematical journal
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    • v.28 no.5
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    • pp.569-578
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    • 2012
  • In this paper, the necessary and sufficient conditions for the strong convergence of a modified Mann iteration process to a fixed point of an asymptotically demicontractive mapping in real Banach spaces are considered. Presented results improve and extend the results of Igbokwe [3], Liu [4], Moore and Nnoli [6] and Osilike [7].

Research of Integrated System Design Process for Minimize Iteration Time of System Design Activities (시스템 설계 업무 반복시간을 최소화하는 통합된 시스템 설계 프로세스 연구)

  • Kim Jin-Hoon;Park Young-Won
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.27 no.3
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    • pp.31-36
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    • 2004
  • This paper will describe design process and its results that are minimized unaddressed feature of product development processes. This process provides integrated system design process by context analysis of EIA 632 standard process, interface definition from activity decomposition, integration of related activities, and definition of concurrency & sequential activities flow. This process and method application will contribute to minimize time loss that is emerged from activities iteration by not definitely definition of activities interface.

Iterative Image Restoration Algorithm Using Power Spectral Density (전력밀도 스펙트럼을 이용한 반복적 영상 신호 복원 알고리즘)

  • 임영석;이문호
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.4
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    • pp.713-718
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    • 1987
  • In this paper, an iterative restoration algorithm from power spectral density with 1 bit sign information of real part of two dimensional Fourier transform of image corrupted by additive white Gaussian noise is proposed. This method is a modified version of image reconstruction algorithm from power spectral density. From the results of computer simulation with original 32 gray level imgae of 64x64 pixels, we can find that restorated image after each iteration converge to original image very fast, and SNR gain be at least 8[dB] after 10th iteration for corrupted image with additive white Gaussian noise.

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Existence of Solutions for the Semilinear Fuzzy Integrodifferential Equations (준선형 퍼지적분미분방정식에 대한 해의 존재성)

  • Gwon, Yeong-Cheol;Kim, Mi-Ju;Lee, Bu-Yeong
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.26-28
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    • 2008
  • This paper is to investigate the existence theorem for the semilinear fuzzy integrodifferential equation in ${E_N}$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in ${E_N}$. Main tool is successive iteration method.

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Markovian Approach of Inspection Policy in a Serial Manufacturing System (Markovian 접근방법을 이용한 직렬생산시스템의 검사정책)

  • 정영배;황의철
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.11 no.17
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    • pp.81-85
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    • 1988
  • This paper presents a model that considers combinations of rework, repair, replacement and scrapping. Policy-Iteration method of inspection is proposed for a serial manufacturing system whose repair cost, scrap cost and inspection cost. when it fails, can be formulated by Markovian approach. Policy-Iteration stops when new inspection policy is the same as previous inspection policy. A numerial example is presented.

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