• 제목/요약/키워드: Iteration

검색결과 1,885건 처리시간 0.027초

THE ITERATION OF ENTIRE FUNCTION

  • Sun, Jianwu
    • 대한수학회보
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    • 제38권2호
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    • pp.369-378
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    • 2001
  • In this paper, we obtain the following results: Let f be a transcendental entire function with log M(r,f)=$O(log r)^\beta (e^{log r}^\alpha)\; (0\leq\alpha<1,\beta>1$). Then every component of N(f) is bounded. This result generalizes the result of Baker.

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Exact solutions to the boundary value problems by VIM

  • Jang, Bong-Soo
    • Journal of the Korean Data and Information Science Society
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    • 제19권4호
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    • pp.1371-1377
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    • 2008
  • In this paper, we have employed the variational iteration method to solve the boundary value problems. Numerical results reveal that it is a very effective method compared with the results obtained by using the Adomian decomposition method in Wazwaz, A. M. (2000).

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ITERATION OF 2 × 2 MATRICES IN ℤ4 AND THEIR FOUR COLOR EXPRESSIONS (I)

  • DAEYEOUL KIM
    • Journal of Applied and Pure Mathematics
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    • 제6권1_2호
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    • pp.37-45
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    • 2024
  • The aim of this article is to consider the sequences generated by repeatedly performing matrix multiplication operations, define the stable, amicable pair, sociable matrix sequences, and analyze the results obtained through iteration. Lastly, numbers are changed to colors to make them easier to understand.

Efficient MCS for random vibration of hysteretic systems by an explicit iteration approach

  • Su, Cheng;Huang, Huan;Ma, Haitao;Xu, Rui
    • Earthquakes and Structures
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    • 제7권2호
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    • pp.119-139
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    • 2014
  • A new method is proposed for random vibration anaylsis of hysteretic systems subjected to non-stationary random excitations. With the Bouc-Wen model, motion equations of hysteretic systems are first transformed into quasi-linear equations by applying the concept of equivalent excitations and decoupling of the real and hysteretic displacements, and the derived equation system can be solved by either the precise time integration or the Newmark-${\beta}$ integration method. Combining the numerical solution of the auxiliary differential equation for hysteretic displacements, an explicit iteration algorithm is then developed for the dynamic response analysis of hysteretic systems. Because the computational cost for a large number of deterministic analyses of hysteretic systems can be significantly reduced, Monte-Carlo simulation using the explicit iteration algorithm is now viable, and statistical characteristics of the non-stationary random responses of a hysteretic system can be obtained. Numerical examples are presented to show the accuracy and efficiency of the present approach.

ABR에서 반복회수 설정에 의한 전력선 잡음의 제거 (Power Line Noise Reductions in ABR by Properly Chosen Iteration Numbers)

  • 안주현;김수찬;남기창;심윤주;김희남;송철규;김덕원
    • 대한의용생체공학회:의공학회지
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    • 제22권3호
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    • pp.241-247
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    • 2001
  • ABR(auditory brainstem response) is one of the audiometry which measures objective hearing threshold level by acquiring electric evoked potentials emanated from auditory nerve system responding to an auditory stimulation. However, the obtained potentials which are largely interfered by power line noise, have extremely low SNR, thus ensemble average algorithm is generally used. The purpose of this study was to investigate the effect of iteration number in ensemble average on the reduction of the power line noise. The power line noise was modeled to be a 60 Hz sinusoidal signal and the energy of the modeled signal was calculated when it was averaged. It was verified by simulation that the energy had the periodic zero points for each stimulation rate, and 60 Hz signal induced by the power line was applied to the developed ABR system to confirm that the period of zero energy point was the same with that of the simulation. By the properly selected iteration number, power line noise could be reduced and more reliable ABR could be acquired.

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다중프로세서 시스템 환경에서 병렬 루프 스케쥴링 알고리즘 (A Parallel Loop Scheduling Algorithm on Multiprocessor System Environments)

  • 이영규;박두순
    • 한국멀티미디어학회논문지
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    • 제3권3호
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    • pp.309-319
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    • 2000
  • 병렬 스케줄링의 목적은 다중프로세서 시스템 환경에서 병렬성을 가진 응용프로그램에 대해 최소의 동기화 오버헤드와 부하균등(load balance)을 달성하도록 스케줄링을 수행하는데 있다. 프로세서들이 병렬 반복(iteration)을 실행하기 위해서는 메모리로부터 반복들에 대한 chunk를 계산하고 할당받게 된다. 이때, 전역 메모리의 상호 배타적인 빈번한 접근으로 많은 스케쥴링 오버헤드 및 병목현상이 발생된다. 또한, 프로세서에게 할당된 chunk내 병렬 반복들의 분포가 서로 상이한 경우,각 chunk의 실행시간이 서로 달라 부하불균등의 원인이 되어 결과적으로 전체 스케쥴링 성능에 나쁜 영향을 준다. 따라서, 최소의 스케줄링 오버 헤드와 부하균등을 달성하기 위해 본 논문에 서는 기존의 방법들에서 문제점들을 도출하고, 자료의 국부성과 프로세서 동족성(affinity)을 고려한 병렬 루프 스케줄링 알고리즘을 제안한다.

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Implementation and Performance Evaluation of TMSC6711 DSP-based Digital Beamformer

  • Rashid, Zainol Abidin Abdul;Islam, Mohammad Tariqul;Chang Sheng , Liew
    • 정보통신설비학회논문지
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    • 제5권1호
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    • pp.25-36
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    • 2006
  • This paper discusses the implementation and performance evaluation of a DSP-based digital beamformer using the Texas Instrument TMSC6711 DSP processor for smart antenna applications. Two adaptive beamforming algorithms which served as the brain for the beamformer, the Normalized Least-Mean-Square (NLMS) and the Constant Modulus Algorithms (CMA) were embedded into the processor and evaluated. Result shows that the NLMS-based digital beamformer outperforms the CMA-based digital beamformer: 1)For NLMS algorithm, the antenna steers to the direction of the desired user even at low iteration value and the suppression level towards the interferer increases as the number of iteration increase. For CMA algorithm, the beam radiation pattern slowly steers to the desired user as the number of iteration increased, but at arate slower than NLMS algorithm and the sidelobe level is shown to increases as the number of iteration increase. 2) The NLMS algorithm has faster convergence than CMA algorithm and the error convergence for CMA algorithm sometimes is subject to misadjustment.

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불확실한 로봇 시스템을 위한 P형 반복 학습 제어기 (A P-type Iterative Learning Controller for Uncertain Robotic Systems)

  • 최준영;서원기
    • 전자공학회논문지SC
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    • 제41권3호
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    • pp.17-24
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    • 2004
  • 동일한 작업을 반복하여 수행하는 불확실한 로봇 시스템을 위한 P형 반복 학습 제어기를 제안한다. 제안된 반복 학습 제어기는 조인트 위치 오차로 구성되는 선형 피드백 제어기와 현재의 조인트 속도 오차로 갱신되는 피드포워드 및 피드백 학습 제어기로 구성된다. 반복 작업 동작이 계속 진행됨에 따라 조인트 위치와 속도 오차는 균일하게 0으로 수렴한다. 반복 횟수에 따라 변화하는 학습 이득을 채택함으로서 반복 횟수 영역에서 임의적으로 수렴 비율을 조절할 수 있는 조인트 위치, 속도 오차한계를 제시하고, 조인트 위치와 속도 오차는 그 한계 내에서 반복 횟수 영역에서 0으로 수렴한다. 기존의 P형 반복 학습 제어기와는 달리 제안된 반복 학습 제어 알고리즘은 학습 이득을 적절하게 설계함으로써 반복 횟수 영역에서 오차 수렴 비율의 분석과 조정을 가능하게 하는 장점이 있다.

스프링잉 응답을 위한 유탄성 해석의 수치기법에 대한 연구 (A Study on the Numerical Methodologies of Hydroelasticity Analysis for Ship Springing Problem)

  • 김유일;김경환;김용환
    • 대한조선학회논문집
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    • 제46권3호
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    • pp.232-248
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    • 2009
  • Numerical methodology to solve ship springing problem, which is basically fluid-structure interaction problem, was explored in this study. Solution of this hydroelasticity problem was sought by coupling higher order B-spline Rankine panel method and finite element method in time domain, each of which is introduced for fluid and structure domain respectively. Even though varieties of different combinations in terms of numerical scheme are possible and have been tried by many researchers to solve the problem, no systematic study regarding the characteristics of each scheme has been done so far. Here, extensive case studies have been done on the numerical schemes especially focusing on the iteration method, FE analysis of beam-like structure, handling of forward speed problem and so on. Two different iteration scheme, Newton style one and fixed point iteration, were tried in this study and results were compared between the two. For the solution of the FE-based equation of motion, direct integration and modal superposition method were compared with each other from the viewpoint of its efficiency and accuracy. Finally, calculation of second derivative of basis potential, which is difficult to obtain with accuracy within grid-based method like BEM was discussed.