• Title/Summary/Keyword: Solution Technique

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A MODIFIED PROXIMAL POINT ALGORITHM FOR SOLVING A CLASS OF VARIATIONAL INCLUSIONS IN BANACH SPACES

  • LIU, YING
    • Journal of applied mathematics & informatics
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    • v.33 no.3_4
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    • pp.401-415
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    • 2015
  • In this paper, we propose a modified proximal point algorithm which consists of a resolvent operator technique step followed by a generalized projection onto a moving half-space for approximating a solution of a variational inclusion involving a maximal monotone mapping and a monotone, bounded and continuous operator in Banach spaces. The weak convergence of the iterative sequence generated by the algorithm is also proved.

Chemical Protection of Stainless Steel by $TiO_2$ Coating Using Dip-Coating Technique

  • Kim, Kyung-Nam;Shin, Dae-Yong
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2009.05a
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    • pp.244-245
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    • 2009
  • Sol-gel coatings of $TiO_2$ have been prepared from $TiO_2$ sol and deposited by dip-coating technique on 316L stainless steel sheets in order to study the electrochemical behaviorin corrosive solutions. The influence of the coatings on the chemical corrosion of the substrate has been evaluated by potentiodynamic polarization curves in different aqueous NaCl solution at $25^{\circ}C$.

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Application of Interior Point Method to Security Constrained Economic Dispatch (계통제약하에서의 Interior Point 법을 이용한 경제급전)

  • Kim, Kyoung-Shin;Lee, Seung-Chul
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.122-124
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    • 2001
  • This Paper presents an application technique for solving the Security Constrained Economic Dispatch(SCED) problem using the Interior Point Method. The optimal power flow solution is obtained by optimizing the given generation cost objectives function subject to the system security constraints. The proposed technique is applied to a prototype 6-bus system for evaluation and test.

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무효전력 최적제어에 의한 전력손실의 최소화

  • Lee, Hyeong-Gwan
    • ETRI Journal
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    • v.6 no.4
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    • pp.31-36
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    • 1984
  • This paper presents an efficient method for real power loss minimization and for improvements in voltage profiles. This method is accomplished by optimal control of reactive power in the system. The problem is formulated as an optimization problem, suitable for solution by linear programming technique. After establishing the objective function for minimizing the system losses with the help of linearised sensitivity relationships of control variables, i. e., the transformer tap position, generator terminal voltages and switchable reactive power sources. The linear programming technique is used to determine the optimal adjustments to the above variables, simultaneously satisfying the constraints. The proposed algorithm has been tested on a sample system and the result is presented and discussed.

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SOME EXPLICIT SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS

  • Kim, Hyunsoo;Lee, Youho
    • Honam Mathematical Journal
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    • v.39 no.1
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    • pp.27-40
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    • 2017
  • In this paper, we construct exact traveling wave solutions of various kind of partial differential equations arising in mathematical science by the system technique. Further, the $Painlev{\acute{e}}$ test is employed to investigate the integrability of the considered equations. In particular, we describe the behaviors of the obtained solutions under certain constraints.

Avoiding Indefiniteness in Criteria for Maximum Likelihood Bearing Estimation with Arbitrary Array Configuration

  • Suzuki, Masakiyo
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.1807-1810
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    • 2002
  • This paper presents a technique for avoid- ing indefiniteness in Maximum Likelihood (ML) criteria for Direction-of-Arrival (DOA) finding using a sensor ar- ray with arbitrary configuration. The ML criterion has singular points in the solution space where the criterion becomes indefinite. Solutions fly iterative techniques for ML bearing estimation may oscillate because of numerical instability which occurs due to the indefiniteness, when bearings more than one approach to the identical value. The oscillation makes the condition for terminating iterations complex. This paper proposes a technique for avoiding the indefiniteness in ML criteria.

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Studies on Interaction of Essential Metal Ions with Bioactive Ligands

  • Tewari, Brij Bhushan
    • Bulletin of the Korean Chemical Society
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    • v.25 no.6
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    • pp.809-812
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    • 2004
  • Complexation reactions of nitrilotriacetate (NTA) and penicillamine with $Cu^{2+}$ and $Co^{2+}$ have been studied in solution phase using paper electrophoresis technique. The stability constants of the complexes Cu(II)-nitrilotriacetate-penicillamine and Co(II)-nitrilotriacetate-penicillamine have been found to be $6.64{\pm}0.03\;and\;5.86{\pm}0.05$ (logarithm stability constant values), respectively at 35$^{\circ}C$ and ionic strength 0.1 M.

Markov Decision Process-based Potential Field Technique for UAV Planning

  • MOON, CHAEHWAN;AHN, JAEMYUNG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.25 no.4
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    • pp.149-161
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    • 2021
  • This study proposes a methodology for mission/path planning of an unmanned aerial vehicle (UAV) using an artificial potential field with the Markov Decision Process (MDP). The planning problem is formulated as an MDP. A low-resolution solution of the MDP is obtained and used to define an artificial potential field, which provides a continuous UAV mission plan. A numerical case study is conducted to demonstrate the validity of the proposed technique.

ACCELERATION OF MACHINE LEARNING ALGORITHMS BY TCHEBYCHEV ITERATION TECHNIQUE

  • LEVIN, MIKHAIL P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.22 no.1
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    • pp.15-28
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    • 2018
  • Recently Machine Learning algorithms are widely used to process Big Data in various applications and a lot of these applications are executed in run time. Therefore the speed of Machine Learning algorithms is a critical issue in these applications. However the most of modern iteration Machine Learning algorithms use a successive iteration technique well-known in Numerical Linear Algebra. But this technique has a very low convergence, needs a lot of iterations to get solution of considering problems and therefore a lot of time for processing even on modern multi-core computers and clusters. Tchebychev iteration technique is well-known in Numerical Linear Algebra as an attractive candidate to decrease the number of iterations in Machine Learning iteration algorithms and also to decrease the running time of these algorithms those is very important especially in run time applications. In this paper we consider the usage of Tchebychev iterations for acceleration of well-known K-Means and SVM (Support Vector Machine) clustering algorithms in Machine Leaning. Some examples of usage of our approach on modern multi-core computers under Apache Spark framework will be considered and discussed.

Estimation of Harmonic Sources in a Power System using Recursive Least-Squares Technique (회귀 최소 자승법을 이용한 고조파 발생원 추정 연구)

  • Han, Jong-Hoon;Lee, Key-Byung;Park, Chang-Hyun;Jang, Gil-Soo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.9
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    • pp.1639-1645
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    • 2011
  • A technique to allocate responsibilities among the interested parties in electric power system with harmonic voltage distortion at the point of common coupling (PCC) has been presented. The recursive least-squares technique has been used to estimate the parameters of the Thevenin equivalent load model. The validity of the technique has been verified using a simulation which considered the voltage waveform distortion at the PCC between the utility and two industrial consumers. With the estimated data from the measured voltage and current waveform at the PCC, the individual contributions to the distortion of voltage waveform at an interested harmonic frequency have been calculated and could provide a flexible solution to identify the source of harmonic pollution in distribution systems.