• 제목/요약/키워드: Roots Method

검색결과 698건 처리시간 0.025초

확장된 고정점이론을 이용한 비선형시스템의 근을 구하는 방법 (A New Method of Finding Real Roots of Nonlinear System Using Extended Fixed Point Iterations)

  • 김성수;김지수
    • 전기학회논문지
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    • 제67권2호
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    • pp.277-284
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    • 2018
  • In this paper, a new numerical method of finding the roots of a nonlinear system is proposed, which extends the conventional fixed point iterative method by relaxing the constraints on it. The proposed method determines the real valued roots and expands the convergence region by relaxing the constraints on the conventional fixed point iterative method, which transforms the diverging root searching iterations into the converging iterations by employing the metric induced by the geometrical characteristics of a polynomial. A metric is set to measure the distance between a point of a real-valued function and its corresponding image point of its inverse function. The proposed scheme provides the convenience in finding not only the real roots of polynomials but also the roots of the nonlinear systems in the various application areas of science and engineering.

NEWTON'S METHOD FOR EQUATIONS RELATED TO EXPONENTIAL FUNCTION

  • Jeong, Moonja
    • Korean Journal of Mathematics
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    • 제9권1호
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    • pp.67-73
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    • 2001
  • For some equation related with exponential function, we seek roots and find the properties of the roots. By using the relation of the roots and attractors, we find a region in the basin of attraction of the attractor at infinity for Newton's method for solving given equation.

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NEWTON-RAPHSON METHOD FOR COMPUTING p-ADIC ROOTS

  • Yeo, Gwangoo;Park, Seong-Jin;Kim, Young-Hee
    • 충청수학회지
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    • 제28권4호
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    • pp.575-582
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    • 2015
  • The Newton-Raphson method is used to compute the q-th roots of a p-adic number for a prime number q. The sufficient conditions for the convergence of this method are obtained. The speed of its convergence and the number of iterations to obtain a number of corrected digits in the approximation are calculated.

독활 부정근의 항산화 및 항균활성 (Antioxidant and Antibacterial Activity of Adventitious Roots from Aralia continentalis Kitagawa)

  • 심수진;김나현
    • 생약학회지
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    • 제48권1호
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    • pp.51-55
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    • 2017
  • Aralia continentalis Kitagawa (Araliaceae), known as "Dokwhal" in Korea, has been widely used in traditional Korean medicine for analgesia, neuralgia, sweating, and rheumatism. The biological activity was estimated with methanol extracts of from cultivated roots and adventitious roots of A. continentalis. DPPH and ABTS activities showed the highest activity in methanol extract of adventitious roots at 175.6 and $279.7{\mu}g/mL$ ($RC_{50}$), respectively. Antioxidant activity of methanol extract of the adventitious roots was higher than other samples. In the antibacterial activity assay (paper disc method), the methanol extract of adventitious roots showed activity against S. aureus, S. epidermidis, B. subtilis, and S. enterica. This study demonstrated that adventitious roots of A. continentalis, which was produced for the first time in the roots of A. continentalis, can be used as a natural antioxidant and antibacterial agents.

Stability of Time Delay Systems Using Numerical Computation of Argument Principles

  • Suh, Young-Soo
    • International Journal of Control, Automation, and Systems
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    • 제1권1호
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    • pp.127-133
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    • 2003
  • This paper proposes a new numerical method to check the stability of a general class of time delay systems. The proposed method checks whether there are characteristic roots whose real values are nonnegative through two steps. Firstly, rectangular bounds of characteristic roots whose real values are nonnegative are computed. Secondly, the existence of roots inside the bounds are checked using the numerical computation of argument principles. An adaptive discretization is proposed for the numerical computation of argument principles.

파종 방법에 따른 고려인삼의 대사체 비교 (Comparative Analysis of Metabolites in Roots of Panax ginseng Obtained from Different Sowing Methods)

  • 양승옥;이성우;김영옥;이상원;김나현;최형균;정주연;이동호;신유수
    • 한국약용작물학회지
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    • 제22권1호
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    • pp.17-22
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    • 2014
  • Ginsenosides of roots in Panax ginseng were analyzed by metabolic-targeting HPLC using the partial least squares discriminant analysis (PLS-DA) and compared depending on sowing methods between direct seeding and transplanting method. Score plots derived from PLS-DA could identify the sowing method between the direct seeding and transplanting method in P. ginseng roots. The ginsenoside compounds were assigned as Rg1, Re, Rf, Rg2, Rb1, Rc, Rb2, Rb3, and Rd. Contents of Re, Rf, Rg2, Rb1, Rc, Rb3, and Rd of main roots produced from the transplanting method were relatively higher than those of samples produced from direct seeding method. Also, contents of Rg1, Re, Rf, Rg2, Rb1, Rc, Rb2, Rb3, and Rd of lateral roots from the transplanted samples were relatively higher than those of samples produced from direct seeding method. Therefore, HPLC with PLS-DA analysis can be a straightforward tool for identification of ginsenosides in main or lateral roots of P. ginseng obtained from two different seeding methods between direct and transplanting methods.

경계요소법(BEM)에 의한 복합재료의 응력확대계수 해석 (An Analysis of Stress Intensity Factors of Composite Materials by Boundary Element Method (BEM))

  • 이갑래;조상봉;최용식
    • 대한기계학회논문집
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    • 제15권1호
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    • pp.179-189
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    • 1991
  • 본 연구에서는 특성근이 같은 같은 경우의 기본해 유도에서 사용하였던 상사 방법을 이용하여, 균열끝 부근의 응력장과 변위장을 나타내고자 한다. 위의 해석을 바탕으로 개발한 프로그램의 정도에 대하여 검증하고, 이 프로그램을 복합재료 내의 균열 문제에 응용하여 응력확대계수에 관한 자료를 계산하고, 그 유용성을 검토하고자 한다.

A Roots Method in GI/PH/1 Queueing Model and Its Application

  • Choi, Kyung Hwan;Yoon, Bong Kyoo
    • Industrial Engineering and Management Systems
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    • 제12권3호
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    • pp.281-287
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    • 2013
  • In this paper, we introduce a roots method that uses the roots inside the unit circle of the associated characteristics equation to evaluate the steady-state system-length distribution at three epochs (pre-arrival, arbitrary, and post-departure) and sojourn-time distribution in GI/PH/1 queueing model. It is very important for an air base to inspect airplane oil because low-quality oil leads to drop or breakdown of an airplane. Since airplane oil inspection is composed of several inspection steps, it sometimes causes train congestion and delay of inventory replenishments. We analyzed interarrival time and inspection (service) time of oil supply from the actual data which is given from one of the ROKAF's (Republic of Korea Air Force) bases. We found that interarrival time of oil follows a normal distribution with a small deviation, and the service time follows phase-type distribution, which was first introduced by Neuts to deal with the shortfalls of exponential distributions. Finally, we applied the GI/PH/1 queueing model to the oil train congestion problem and analyzed the distributions of the number of customers (oil trains) in the queue and their mean sojourn-time using the roots method suggested by Chaudhry for the model GI/C-MSP/1.

산삼의 배양 및 그 응용에 관한 연구

  • 신미희
    • 한국생물공학회:학술대회논문집
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    • 한국생물공학회 2001년도 추계학술발표대회
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    • pp.151-162
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    • 2001
  • 산삼은 고유의 생약으로 민간 또는 한방에서 효능을 인정받아 왔으나 산삼의 희귀성으로 인하여 산삼에 대한 연구가 활발하지 못하였다. 따라서 본 실험은 식물 조직 배양 기술을 이용하여 산삼 부정근을 대량으로 배양하고 추출하여 화장품 원료로서의 적용 가능성을 연구하였다.

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수도관근의 신장에 관한 연구 (Study on the Elongation of Crown Root in Rice Plant (Oryza sativa L.))

  • 정원일
    • 한국작물학회지
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    • 제27권3호
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    • pp.193-197
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    • 1982
  • 수도의 동일요소에 형성된 각 관근의 신장량은 다음과 같은 관계에 있음을 알았다. 1. 분벽아를 제거하여 각 관근만을 sink로 하였을 경우에는 중륵의 가까운 곳에 형성된 관근이 분벽아쪽에 형성된 관근보다 신장량이 좋았다. 2. 분벽아가 관근과 같이 sink로서 존재할 경우, 전출엽요소에서 출근한 관근이 가장 길었으며 또 분벽경 부근에 형성된 관근이 그 다음이었고 중륵 쪽에 형성된 관근이 가장 짧았다.

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