• Title/Summary/Keyword: convergence

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ON THE STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE SEMIGROUPS IN BANACH SPACES

  • Chang, Shih-Sen;Zhao, Liang Cai;Wu, Ding Ping
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.13-23
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    • 2009
  • Some strong convergence theorems of explicit iteration scheme for asymptotically nonexpansive semi-groups in Banach spaces are established. The results presented in this paper extend and improve some recent results in [T. Suzuki. On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces, Proc. Amer. Math. Soc. 131(2002)2133-2136; H. K. Xu. A strong convergence theorem for contraction semigroups in Banach spaces, Bull. Aust. Math. Soc. 72(2005)371-379; N. Shioji and W. Takahashi. Strong convergence theorems for continuous semigroups in Banach spaces, Math. Japonica. 1(1999)57-66; T. Shimizu and W. Takahashi. Strong convergence to common fixed points of families of nonexpansive mappings, J. Math. Anal. Appl. 211(1997)71-83; N. Shioji and W. Takahashi. Strong convergence theorems for asymptotically nonexpansive mappings in Hilbert spaces, Nonlinear Anal. TMA, 34(1998)87-99; H. K. Xu. Approximations to fixed points of contraction semigroups in Hilbert space, Numer. Funct. Anal. Optim. 19(1998), 157-163.]

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Convergence of the Filtered-x Least Mean Square Adaptive Algorithm for Active Noise Control of a Multiple Sinusoids (다중 정현파의 능동소음제어를 위한 Filtered-x 최소 평균제곱 적응 알고리듬 수렴 연구)

  • 이강승
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.4
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    • pp.239-246
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    • 2003
  • Application of the filtered-x Least Mean Square(LMS) adaptive filter to active noise control requires to estimate the transfer characteristics between the output and the error signal of the adaptive controller. In this paper, we derive the filtered-x adaptive noise control algorithm and analyze its convergence behavior when the acoustic noise consists of multiple sinusoids. The results of the convergence analysis of the filtered-x LMS algorithm indicate that the effects of the parameter estimation inaccuracy on the convergence behavior of the algorithm are characterized by two distinct components Phase estimation error and estimated gain. In particular, the convergence is shown to be strongly affected by the accuracy of the phase response estimate. Simulation results are presented to support the theoretical convergence analysis.

Case Study of Vision Therapy in Binocular Dysfunction-Convergence Insufficiency (양안시이상-폭주부족 교정의 임상사례)

  • Park, Hyun-Ju;Seong, Jeong-Sub
    • Journal of Korean Ophthalmic Optics Society
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    • v.12 no.3
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    • pp.131-135
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    • 2007
  • To investigate whether vision therapy (vision training) are an effective way to influence the near point of convergence, fusion range and asthenopic symptoms in convergence insufficiency. For one chosen patient who had convergence insufficiency, vision therapy (vision training) was prescribed for 4 weeks. 4 weeks later vision therapy (vision training) was quite effective in convergence insufficiency. That is, vision therapy (vision training) was an effective means of reducing symptoms, improving fusion range and decompensating exophoria in patient with convergence insufficiency.

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통신시장 유무선 서비스 도입과 주요국의 규제현황

  • 송영화
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2001.10a
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    • pp.358-361
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    • 2001
  • Fixed-mobile convergence services can be defined as the combination of previously separate fixed and mobile services, and networks and commercial practices. Examples of fixed-mobile convergence services include single voicemail box, single number and unified messaging across fixed and mobile networks. Recently as more voice is transferred to mobile networks, convergence services between fixed and mobile become more important. In Korea convergence services are only starting to become established, and are likely to become an important part of any operator's offering. In this paper, I search the different levels of fixed-mobile convergence services and the trends and regulations for fixed-mobile convergence services in major countries. And at the same time I also try to find a new direction of future regulatory principles related to fixed-mobile convergence services.

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Research on the Improvement of Convergence Characteristics of the Fast Decoupled Load Flow (고속분할법의 수렴특성 개선에 관한 연구)

  • Lee, In-Yong
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.25 no.5
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    • pp.403-408
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    • 2012
  • In this paper, we propose useful load flow algorithms called FEDL (fast enhanced decoupled load flow). The proposed load flow method can improve the convergence characteristics particularly when the P-Q coupling becomes significant and the power system operating states deviate from the conditions required for stable convergence of the FDL by reflecting in part the effects of the off-diagonal terms in the Jacobian. In our test with IEEE AEP-30 bus system and RTS-96 73-bus system, it converge even when the fast decoupled load flow (FDL) and its variations keeping load flow matrices constant experience convergence problems. Test results show promising performances of the proposed algorithms in their convergence characteristics both in number of iterations and overall convergence speeds.

The Emerging Trend of Technological Convergence and Tasks for Science Parks

  • Kang, Byung-Joo;Oh, Deog-Seong
    • World Technopolis Review
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    • v.1 no.1
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    • pp.16-26
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    • 2012
  • Many scientists today say that converged technologies, not specifically dedicated technologies, will be in the vanguard in the $21^{st}$ century. Technological Convergence is the merging of different areas of technology to perform similar tasks. Since we are living in the era of Technological Convergence, it is time for us to think about how to cope with the daily demands we are facing in science parks. Technological Convergence is a mega trend in commercial areas today but, so far, no science parks seem to have tried to reshape their management policies or programs in order to utilize this trend. For the development of science parks we suggest some tasks such as: identify potentials for Technological Convergence, establish a convergent ecosystem by building connections across stove-piped systems, effect a technological convergence platform, and conduct further research for strengthening plans for converging technologies.

COMPLETE f-MOMENT CONVERGENCE FOR EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

  • Lu, Chao;Wang, Rui;Wang, Xuejun;Wu, Yi
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1485-1508
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    • 2020
  • In this paper, we investigate the complete f-moment convergence for extended negatively dependent (END, for short) random variables under sub-linear expectations. We extend some results on complete f-moment convergence from the classical probability space to the sub-linear expectation space. As applications, we present some corollaries on complete moment convergence for END random variables under sub-linear expectations.

Acceleration the Convergence and Improving the Learning Accuracy of the Back-Propagation Method (Back-Propagation방법의 수렴속도 및 학습정확도의 개선)

  • 이윤섭;우광방
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.8
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    • pp.856-867
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    • 1990
  • In this paper, the convergence and the learning accuracy of the back-propagation (BP) method in neural network are investigated by 1) analyzing the reason for decelerating the convergence of BP method and examining the rapid deceleration of the convergence when the learning is executed on the part of sigmoid activation function with the very small first derivative and 2) proposing the modified logistic activation function by defining, the convergence factor based on the analysis. Learning on the output patterns of binary as well as analog forms are tested by the proposed method. In binary output patter, the test results show that the convergence is accelerated and the learning accuracy is improved, and the weights and thresholds are converged so that the stability of neural network can be enhanced. In analog output patter, the results show that with extensive initial transient phenomena the learning error is decreased according to the convergence factor, subsequently the learning accuracy is enhanced.

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VLSI Implementation of H.264 Video Decoder for Mobile Multimedia Application

  • Park, Seong-Mo;Lee, Mi-Young;Kim, Seung-Chul;Shin, Kyoung-Seon;Kim, Ig-Kyun;Cho, Han-Jin;Jung, Hee-Bum;Lee, Duk-Dong
    • ETRI Journal
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    • v.28 no.4
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    • pp.525-528
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    • 2006
  • In this letter, we present a design of a single chip video decoder called advanced mobile video ASIC (A-MoVa) for mobile multimedia applications. This chip uses a mixed hardware/software architecture to improve both its performance and its flexibility. We designed the chip using a partition between the hardware and software blocks, and developed the architecture of an H.264 decoder based on the system-on-a-chip (SoC) platform. This chip contains 290,000 logic gates, 670,000 memory gates, and its size is $7.5\;mm{\times}7.5\;mm$ (using 0.25 micron 4-layers metal CMOS technology).

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ON THE ORDER AND RATE OF CONVERGENCE FOR PSEUDO-SECANT-NEWTON'S METHOD LOCATING A SIMPLE REAL ZERO

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.2
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    • pp.133-139
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    • 2006
  • By combining the classical Newton's method with the pseudo-secant method, pseudo-secant-Newton's method is constructed and its order and rate of convergence are investigated. Given a function $f:\mathbb{R}{\rightarrow}\mathbb{R}$ that has a simple real zero ${\alpha}$ and is sufficiently smooth in a small neighborhood of ${\alpha}$, the convergence behavior is analyzed near ${\alpha}$ for pseudo-secant-Newton's method. The order of convergence is shown to be cubic and the rate of convergence is proven to be $\(\frac{f^{{\prime}{\prime}}(\alpha)}{2f^{\prime}(\alpha)}\)^2$. Numerical experiments show the validity of the theory presented here and are confirmed via high-precision programming in Mathematica.

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