• 제목/요약/키워드: Convergence point

검색결과 2,138건 처리시간 0.031초

A GENERALIZATION OF LOCAL SYMMETRIC AND SKEW-SYMMETRIC SPLITTING ITERATION METHODS FOR GENERALIZED SADDLE POINT PROBLEMS

  • Li, Jian-Lei;Luo, Dang;Zhang, Zhi-Jiang
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1167-1178
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    • 2011
  • In this paper, we further investigate the local Hermitian and skew-Hermitian splitting (LHSS) iteration method and the modified LHSS (MLHSS) iteration method for solving generalized nonsymmetric saddle point problems with nonzero (2,2) blocks. When A is non-symmetric positive definite, the convergence conditions are obtained, which generalize some results of Jiang and Cao [M.-Q. Jiang and Y. Cao, On local Hermitian and Skew-Hermitian splitting iteration methods for generalized saddle point problems, J. Comput. Appl. Math., 2009(231): 973-982] for the generalized saddle point problems to generalized nonsymmetric saddle point problems with nonzero (2,2) blocks. Numerical experiments show the effectiveness of the iterative methods.

건설현장 MMS 라이다 기반 점군 데이터의 정확도 분석 (Accuracy Analysis of Point Cloud Data Produced Via Mobile Mapping System LiDAR in Construction Site)

  • 박재우;염동준
    • 한국산업융합학회 논문집
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    • 제25권3호
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    • pp.397-406
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    • 2022
  • Recently, research and development to revitalize smart construction are being actively carried out. Accordingly, 3D mapping technology that digitizes construction site is drawing attention. To create a 3D digital map for construction site a point cloud generation method based on LiDAR(Light detection and ranging) using MMS(Mobile mapping system) is mainly used. The purpose of this study is to analyze the accuracy of MMS LiDAR-based point cloud data. As a result, accuracy of MMS point cloud data was analyzed as dx = 0.048m, dy = 0.018m, dz = 0.045m on average. In future studies, accuracy comparison of point cloud data produced via UAV(Unmanned aerial vegicle) photogrammetry and MMS LiDAR should be studied.

사용자 중심의 중간지점 탐색 시스템의 설계 및 구현 (Development of User-dependent Mid-point Navigation System)

  • 안종희;강인혁;서세영;김태우;허유성;안용학
    • 융합보안논문지
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    • 제19권2호
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    • pp.73-81
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    • 2019
  • 본 논문은 시간 가중치 기반의 중간지점 탐색 알고리즘과 사용자 선호 기반 장소 추천 알고리즘을 이용한 사용자 중심의 중간지점 탐색 시스템을 제안한다. 제안된 시스템은 중간지점 탐색을 위하여 사용자간의 출발지점을 기준으로 각 사용자의 시간 가중치를 적용하여 중간 지점을 산출하는 중간지점 탐색 모듈과 각 사용자와 산출된 중간지점까지의 경로 탐색을 제공하기 위한 지점 탐색 제공 모듈로 구성된다. 또한, 중간지점 탐색 결과를 기반으로 사용자의 선호도 중심의 1장소 추천 기능을 포함하여 사용자의 이용률을 증대할 수 있도록 한다. 실험 결과, 제안된 시스템은 사용자 중심의 중간지점 및 장소 추천 기능을 통해 이용의 효율성을 증대시킬 수 있음을 확인하였다.

향상된 수렴 속도와 근단 화자 신호 검출능력을 갖는 적응 반향 제거기 (On Improving Convergence Speed and NET Detection Performance for Adaptive Echo Canceller)

  • 김남선
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1992년도 학술논문발표회 논문집 제11권 1호
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    • pp.23-28
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    • 1992
  • The purpose of this paper is to develop a new adaptive echo canceller improving convergence speed and near-end-talker detection performance of the conventional echo canceller. In a conventional adaptive echo canceller, an adaptive digital filter with TDL(Tapped-Delay Line) structure modelling the echo path uses the LMS(Least Mean Square) algorithm to cote the coefficients, and NET detector using energy comparison method prevents the adaptive digital filter to update the coefficients during the periods of the NET signal presence. The convergence speed of the LMS algorithm depends on the eigenvalue spread ratio of the reference signal and NET detector using the energy comparison method yields poor detection performance if the magnitude of the NET signal is small. This paper presents a new adaptive echo canceller which uses the pre-whitening filter to improve the convergence speed of the LMS algorithm. The pre-whitening filter is realized by using a low-order lattice predictor. Also, a new NET signal detection algorithm is presented, where the start point of the NET signal is detected by computing the cross-correlation coefficient between the primary input and the ADF(Adaptive Digital Filter) output while the end point is detected by using the energy comparison method. The simulation results show that the convergence speed of the proposed adaptive echo canceller is faster than that of the conventional echo canceller and the cross-correlation coefficient yield more accurate detection of the start point of the NET signal.

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호프필드 신경회로망의 Global Convergence (Global Convergence of the Hopfield Neural Networks)

  • 강민제
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
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    • pp.87-91
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    • 2001
  • This paper discusses the influence of input conductance on the convergece of the continuous Hopfield neural networks. The convergence has been analyzed for the input and output nodes of neurons. Also, the characteristics of equilibrium points has been analyzed depending on different values of the input conductance.

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Analysis of Microwave-Induced Thermoacoustic Signal Generation Using Computer Simulation

  • Dewantari, Aulia;Jeon, Se-Yeon;Kim, Seok;Nikitin, Konstantin;Ka, Min-Ho
    • Journal of electromagnetic engineering and science
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    • 제16권1호
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    • pp.1-6
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    • 2016
  • Computer simulations were conducted to demonstrate the generation of microwave-induced thermoacoustic signal. The simulations began with modelling an object with a biological tissue characteristic and irradiating it with a microwave pulse. The time-varying heating function data at every particular point on the illuminated object were obtained from absorbed electric field data from the simulation result. The thermoacoustic signal received at a point transducer at a particular distance from the object was generated by applying heating function data to the thermoacoustic equation. These simulations can be used as a foundation for understanding how thermoacoustic signal is generated and can be applied as a basis for thermoacoustic imaging simulations and experiments in future research.

CONVERGENCE THEOREMS OF IMPLICIT ITERATION PROCESS WITH ERRORS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN BANACH SPACES

  • Saluja, G.S.
    • East Asian mathematical journal
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    • 제28권1호
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    • pp.63-71
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    • 2012
  • The aim of this article is to study an implicit iteration process with errors for a finite family of non-Lipschitzian asymptotically non expansive mappings in the intermediate sense in Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for said scheme to converge to a common fixed point for non Lipschitzian asymptotically nonexpansive mappings in the intermediate sense. The results presented in this paper extend and improve the corresponding results of [1], [3]-[8], [10]-[11], [13]-[14], [16] and many others.

Strong Convergence Theorems for Asymptotically Nonexpansive Mappings by Hybrid Methods

  • Qin, Xiaolong;Su, Yongfu;Shang, Meijuan
    • Kyungpook Mathematical Journal
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    • 제48권1호
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    • pp.133-142
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    • 2008
  • In this paper, we prove two strong convergence theorems for asymptotically nonexpansive mappings in Hibert spaces by hybrid methods. Our results extend and improve the recent ones announced by Nakajo, Takahashi [K. Nakajo, W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003) 372-379], Kim, Xu [T. H. Kim, H. K. Xu, Strong convergence of modified mann iterations for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal. 64 (2006) 1140-1152], Martinez-Yanes, Xu [C. Martinez-Yanes, H. K. Xu, Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006) 2400-2411] and some others.

LOCAL CONVERGENCE OF FUNCTIONAL ITERATIONS FOR SOLVING A QUADRATIC MATRIX EQUATION

  • Kim, Hyun-Min;Kim, Young-Jin;Seo, Jong-Hyeon
    • 대한수학회보
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    • 제54권1호
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    • pp.199-214
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    • 2017
  • We consider fixed-point iterations constructed by simple transforming from a quadratic matrix equation to equivalent fixed-point equations and assume that the iterations are well-defined at some solutions. In that case, we suggest real valued functions. These functions provide radii at the solution, which guarantee the local convergence and the uniqueness of the solutions. Moreover, these radii obtained by simple calculations of some constants. We get the constants by arbitrary matrix norm for coefficient matrices and solution. In numerical experiments, the examples show that the functions give suitable boundaries which guarantee the local convergence and the uniqueness of the solutions for the given equations.

MONOTONE CQ ALGORITHM FOR WEAK RELATIVELY NONEXPANSIVE MAPPINGS AND MAXIMAL MONOTONE OPERATORS IN BANACH SPACES

  • Kang, Jinlong;Su, Yongfu;Zhang, Xin
    • Journal of applied mathematics & informatics
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    • 제29권1_2호
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    • pp.293-309
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    • 2011
  • The purpose of this article is to prove strong convergence theorems for weak relatively nonexpansive mapping which is firstly presented in this article. In order to get the strong convergence theorems for weak relatively nonexpansive mapping, the monotone CQ iteration method is presented and is used to approximate the fixed point of weak relatively nonexpansive mapping, therefore this article apply above results to prove the strong convergence theorems of zero point for maximal monotone operators in Banach spaces. Noting that, the CQ iteration method can be used for relatively nonexpansive mapping but it can not be used for weak relatively nonexpansive mapping. However, the monotone CQ method can be used for weak relatively nonexpansive mapping. The results of this paper modify and improve the results of S.Matsushita and W.Takahashi, and some others.