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A Deflation-Preconditioned Conjugate Gradient Method for Symmetric Eigenproblems

  • Jang, Ho-Jong
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.331-339
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    • 2002
  • A preconditioned conjugate gradient(PCG) scheme with the aid of deflation for computing a few of the smallest eigenvalues arid their corresponding eigenvectors of the large generalized eigenproblems is considered. Topically there are two types of deflation techniques, the deflation with partial shifts and an arthogonal deflation. The efficient way of determining partial shifts is suggested and the deflation-PCG schemes with various partial shifts are investigated. Comparisons of theme schemes are made with orthogonal deflation-PCG, and their asymptotic behaviors with restart operation are also discussed.

Determination of a Time-Slot Switching-Point Considering Asymmetrical Traffic Features in TD-CDMA/TDD Systems

  • Cho, Ho-Shin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.1A
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    • pp.1-6
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    • 2003
  • We propose a mathematical model to analyze the performance of TD-CDMA/TDD systems in terms of call blocking probability and then find the optimum time-slot switching-point at the smallest call blocking probability considering asymmetrical traffic load distribution for various kinds of service applications.

The Intergenerational Effects of Tax Policy in an Overlapping Generations Model with Housing Assets

  • LEE, YOUNG WOOK
    • KDI Journal of Economic Policy
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    • v.40 no.2
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    • pp.53-73
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    • 2018
  • Using an overlapping generations model, this paper examines tax policy effects across generations. The model incorporates housing assets separately from capital assets and includes taxes on labor income, capital income, consumption and housing assets. Tax reforms for each tax rate have different effects on tax burdens across generations and the overall efficiency of the economy, leading to different welfare costs for generations. Specifically, raising housing property taxes results in the smallest welfare loss by future generations, as in the model it does not hurt economic efficiency and the tax burden increases mainly for the elderly, who have accumulated housing assets in preparation for retirement.

On The Number of Replications in Simulation Study (모의실험(模擬實驗)에서 반복회수(反復回數)의 연구)

  • Song, Jae-Kee
    • Journal of the Korean Data and Information Science Society
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    • v.1
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    • pp.47-57
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    • 1990
  • A method which determines the number of replications in the simulation is proposed, particularly for small-sample comparison of estimators. This method takes the smallest number of replications that makes the difference of mean square errors be statistically significant and provides an efficient algorithm for calculating the standard error of the mean square error. Two examples are illustrated, the first one is on comparison of mean and median ; the second, the Kaplan-Meier type and Buckley-James type estimators of a quantile function with censored data.

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Discrete Element Simulation of the Sintering of Composite Powders

  • Martina, C. L.;Olmos, L.;Schneiderb, L. C. R.;Bouvardc, D.
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09a
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    • pp.262-263
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    • 2006
  • The free sintering of metallic powders blended with non sintering inclusions is investigated by the Discrete Element Method (DEM). Each particle, whatever its nature (metallic or inclusion) is modeled as a sphere that interacts with its neighbors. We investigate the retarding effect of the inclusions on the sintering kinetics. Also, we present a simple coarsening model for the metallic particles, which allows large particles to grow at the expense of the smallest.

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Selection Problems in terms of Coefficients of Vairiation

  • Park, Chi-Hoon;Jeon, Jong-Woo;Kim, Woo-Chul
    • Journal of the Korean Statistical Society
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    • v.11 no.1
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    • pp.12-24
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    • 1982
  • Selection procedures are proposed for selecting the 'best' industrial process with the smallest fraction defective. For normally distributed industrial processes, this is equivalent to selecting in terms of coefficients of variation. For the case of known vairances, selection procedures by Bechhofer (1954), and Bechhofer and Turnball (1978) are appropriate. We treat this problem for the case of uknown variances with or without reference to a standard. The large sample solutions of design constants are tabulated and the performance of these approximate solutions are investigated.

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PERTURBATION ANALYSIS OF DEFLATION TECHNIQUE FOR SYMMETRIC EIGENVALUE PROBLEM

  • JANG, HO-JONG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.5 no.2
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    • pp.17-23
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    • 2001
  • The evaluation of a few of the smallest eigenpairs of large symmetric eigenvalue problem is of great interest in many physical and engineering applications. A deflation-preconditioned conjugate gradient(PCG) scheme for a such problem has been shown to be very efficient. In the present paper we provide the numerical stability of a deflation-PCG with partial shifts.

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Analysis of Three Dimensional Position Using Unit Models in Aerial Photogrammetry (단위 모델을 이용한 항공 사진의 3차원 위치 해석)

  • 강인준;유복모
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.4 no.1
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    • pp.49-57
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    • 1986
  • Block adjustment procedures are usually classified into three groups according to the smallest units ; the bundle, the model, or the strip. In this paper, three dimensional analysis using a unit model in aerial photogrammetry is studied, and error distibutions are anayzed concerning the control patterns.

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A New Acceleration Method of Additive Angular Dependent Rebalance with Extrapolation for Discrete Ordinates Transport Equation

  • Park, Chang-Je;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • v.34 no.4
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    • pp.314-322
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    • 2002
  • A new extrapolation method is developed and applied to the additive angular dependent rebalance (AADR) acceleration for discrete ordinates neutron transport calculations. With this extrapolation, the convergence of AADR solution for distinct discretizations between the high- order and low-order equations is remarkably improved and thus the “inconsistent discretization problem” is resolved. Fourier analysis is also performed to find the optimal extrapolation and weighting parameters, which give the smallest spectral radius. The numerical tests demonstrate that the AADR with extrapolation works well as predicted by the Fourier analysis.

Subdivision of Certain Barbell Operation of Origami Graphs has Locating-Chromatic Number Five

  • Irawan, Agus;Asmiati, Asmiati;Zakaria, La;Muludi, Kurnia;Utami, Bernadhita Herindri Samodra
    • International Journal of Computer Science & Network Security
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    • v.21 no.9
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    • pp.79-85
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    • 2021
  • The locating-chromatic number denote by 𝛘𝐿(G), is the smallest t such that G has a locating t-coloring. In this research, we determined locating-chromatic number for subdivision of certain barbell operation of origami graphs.