• Title/Summary/Keyword: 반복법

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A Study of Iteration Method for 2-Dimensional 2-Group Diffusion Problems (2차원 2군 확산 문제의 반복법에 대한 고찰)

  • Jong Hwa Chang;Kil Yoo Kim;Chang Hyun Chung
    • Nuclear Engineering and Technology
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    • v.15 no.1
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    • pp.33-40
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    • 1983
  • It is shown that the Shanks sequence $E_{k}$-transformation and the conventional extrapolation method are theoretically related. The $E_1$$^2$-transformation method is then applied for the multigroup diffusion problems. The diffusion code, CITATION, is modified for this study and the computing time is compared for each iteration tactics. The Equipose method, in which only sing1e inner iteration for each energy group is carried for an outer iteration, has been known as the fastest iteration method. However, in the case of 3-group problems, the proposed method, in which the number of inner iteration for the fast and thermal group is 2 and 1 respectively, gives better convergency than the Equipose method by about 12%. The double extrapolation method results in faster computing time than the single extrapolation method without computing storage problem. It is, however, to note that this method is verified only for a two-group treatment.t.

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Parallelized Matrix Operation for Fast Computations of Antenna Characteristics (안테나 특성 고속 계산을 위한 병렬화 행렬 연산)

  • Cho, Yong-Heui
    • Proceedings of the Korea Contents Association Conference
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    • 2015.05a
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    • pp.61-62
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    • 2015
  • 밀리미터파 대역에서 사용하는 대형 안테나 해석 속도를 개선하기 위한 병렬형 행렬 연산법을 제안한다. 기존의 가우스 소거법을 병렬화하기 위해 행렬 분해와 반복법을 이용한다. 또한, 반복법의 수렴성을 높이기 위해 이전 행렬해를 부분적으로 사용하여 분해 행렬을 구성하는 방식도 제시한다. 본 제안법은 OpenMP, MPI, CUDA 등의 병렬법과 함께 사용할 수 있다.

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다차원 층화에서 선형계획법을 이용한 표본배정 방법

  • Choe, Jae-Hyeok;NamGung, Pyeong
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.11a
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    • pp.91-96
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    • 2005
  • 다차원층화에서 선형계획법을 이용한 표본배정 방법은 Winkler(1990, 2001), Sitter와 Skinner(1994, 2002)가 제안하였다. 이 방법들은 표본크기가 층 개수보다 크지 않는 경우에 공통적으로 선형계획법을 이용하여 표본배정을 실시하였다. 반복 비율 적합방법(IPF), 일반화 반복 비율 적합(GIFP), SS 방법을 통해 셀 값을 결정하고 선형계획법을 이용하여 표본의 배정확률을 통해 표본배정을 실시한다. 이 3가지 방법들로 표본을 배정하고 평균 및 분산추정량을 비교한다.

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Solution of Eigenvalue Problems for Nonclassically Damped Systems with Multiple Frequencies (중복근을 갖는 비비례 감쇠시스템의 고유치 해석)

  • 김만철;정형조;오주원;이인원
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.205-216
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    • 1998
  • A solution method is presented to solve the eigenvalue problem arising in the dynamic analysis of nonclassicary damped structural systems with multiple eigenvalues. The proposed method is obtained by applying the modified Newton-Raphson technique and the orthonormal condition of the eigenvectors to the linear eigenproblem through matrix augmentation of the quadratic eigenvalue problem. In the iteration methods such as the inverse iteration method and the subspace iteration method, singularity may be occurred during the factorizing process when the shift value is close to an eigenvalue of the system. However, even though the shift value is an eigenvalue of the system, the proposed method provides nonsingularity, and that is analytically proved. Since the modified Newton-Raphson technique is adopted to the proposed method, initial values are need. Because the Lanczos method effectively produces better initial values than other methods, the results of the Lanczos method are taken as the initial values of the proposed method. Two numerical examples are presented to demonstrate the effectiveness of the proposed method and the results are compared with those of the well-known subspace iteration method and the Lanczos method.

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A Study on the Stratified Cluster Replicated Systematic Unrelated Question Model (층화 집락 반복계통 무관질문모형에 관한 연구)

  • Lee, Gi-Sung
    • The Korean Journal of Applied Statistics
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    • v.26 no.2
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    • pp.209-222
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    • 2013
  • We apply stratified cluster sampling to a replicated systematic unrelated question model for a large scale survey in which the population is comprised of several strata developed by several clusters and with sensitive parameters. We first present a replicated systematic unrelated question model using an unrelated question model to procure sensitive information from the population of clusters and then develop a suggested model to an unrelated question by a stratified cluster replicated systematic sampling that can be used in large population of strata. We cover the proportional and optimum allocation for the suggested model. Finally, we compare and analyze the efficiency of the suggested model with the replicated systematic unrelated question model.

Novel Analysis of Waveguide Stub Structure Using Iterative Green's Function Method (반복 그린 함수 방법을 이용한 도파관 스텁 구조의 새로운 해석법)

  • Cho, Yong-Heui
    • The Journal of the Korea Contents Association
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    • v.7 no.2
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    • pp.125-131
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    • 2007
  • An iterative Green's function method (IGFM) is introduced in order to analyze complex electromagnetic waveguide stub structures in view of a university student. The IGFM utilizes a Green's function approach and an regional iteration scheme. A physical iteration mechanism with simple mathematical equations facilitates clear formulations of the IGFM. Scattering characteristics of a standard E-plane T-junction stub in a parallel-plate waveguide are theoretically investigated in terms of the IGFM. Numerical computations illustrate the characteristics of reflection and transmission powers versus frequency.

Resilient Modulus Test of Subgrade Soils Using Standard Triaxial Test Equipment (표준 삼축압축 시험기를 이용한 노상토의 회복탄성계수 시험법)

  • Woo, Je Yoon;Cho, Chun Whan;Moon, Hong Deug;Kim, Dong Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.4
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    • pp.239-250
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    • 1993
  • The dynamic resilient modulus tests to determine the $M_R$ of the soils require expensive equipments and well trained personnels to obtain reliable test results. These problems inherent in the dynamic resilient modulus testing have been realized as major negative factors to hinder the $M_R$ test from being practically implemented as a routine test. In this regard. it is highly desirable to develop a simpler alternative testing method incorporating inexpensive equipments and easy-to-perform testing procedures. Developed in this study is an alternative $M_R$ test method based on statically repeated loading scheme utilizing the standard static triaxial test equipments. Applicability and limitations of the developed static $M_R$ testing method are investigated for typical subgrade soils in Korea.

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Applying The Concurrent Development Approach To Unified Process (동시개발 방법을 적용한 단일화된 프로세스)

  • Choi, Myeong-Bok;Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.12 no.4
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    • pp.119-130
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    • 2012
  • Recently, the software system is getting complicating and the customers are requiring faster development. For the traditional sequential approach can't against this problem iterative approach is used instead. For the representative iterative approach, there is RUP (Rational's Unified Process). However, RUP standard practical methods are phase, iteration, and disciplines, sequentially. As a result, there's some waste of manpower when a discipline is executed in an iteration, it has to wait till the next same discipline is executed. There are linear approach, sequential approach, overlapped iteration approach, and time-boxed iteration for the efficient execution of RUP. However, they have some problems such as waste of manpower or difficulty in the project management. This paper suggests a method about how to execute the disciplines as a concurrent type. The concurrent approach prevents the waste of manpower and solves the difficulty of project management.

Nonparametric Method Using an Alignment Method in a Randomized Block Design with Replications (반복이 있는 랜덤화 블록 계획법에서 정렬 방법을 이용한 비모수 검정법)

  • Lee, Min-Hee;Kim, Dong-Jae
    • Communications for Statistical Applications and Methods
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    • v.19 no.1
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    • pp.77-84
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    • 2012
  • Mack and Skillings (1980) proposed a typical nonparametric method in a randomized block design with replications. However, this method may lose information because of the use of average observations instead of individual observations. In this paper, we proposed a nonparametric method that employed an aligned method suggested by Hodges and Lehmann (1962) under a randomized block design with replications. In addition, the comparative results of a Monte Carlo power study are presented.

Convergence Rate of Newton-Raphson Method (뉴톤-랩슨 반복법의 점근비율)

  • 이관제
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.319-328
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    • 1993
  • The actual convergence rate of Newton-Raphson iteration method at each step is studied under the regularity conditions for the limiting distribution: The convergence rate of it is accelerated with good starting values. Hence we can decide a number of iterations according to our purposes.

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