• Title/Summary/Keyword: Iteration

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Operator-splitting methods respecting eigenvalue problems for shallow shelf equations with basal drag

  • Geiser, Jurgen;Calov, Reinhard
    • Coupled systems mechanics
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    • v.1 no.4
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    • pp.325-343
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    • 2012
  • We present different numerical methods for solving the shallow shelf equations with basal drag (SSAB). An alternative approach of splitting the SSAB equation into a Laplacian and diagonal shift operator is discussed with respect to the underlying eigenvalue problem. First, we solve the equations using standard methods. Then, the coupled equations are decomposed into operators for membranes stresses, basal shear stress and driving stress. Applying reasonable parameter values, we demonstrate that the operator of the membrane stresses is much stiffer than the operator of the basal shear stress. Here, we could apply a new splitting method, which alternates between the iteration on the membrane-stress operator and the basal-shear operator, with a more frequent iteration on the operator of the membrane stresses. We show that this splitting accelerates and stabilize the computational performance of the numerical method, although an appropriate choice of the standard method used to solve for all operators in one step speeds up the scheme as well.

Orthogonal matching pursuit performance for support selection length (Support 선택 개수에 따른 orthogonal matching pursuit의 성능 연구)

  • Kwon, Seok-Beop;Lee, Jae-Seok;Shim, Byong-Hyo
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2011.07a
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    • pp.135-136
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    • 2011
  • Sparse한 신호 복원 방법으로 underdetemined system에서 l1-minimization을 이용한 compressive sensing의 연구와 함께, l1-minimization비해 간단한 greed 알고리듬도 활발히 연구되고 있다. 이에 본 논문은 greed 알고리듬의 대표적인 orthogonal matching pursuit기법에서 iteration 마다 support 선택 개수에 따른 성능을 연구한다. 모의 실험을 통해 OMP의 iteration 단계에서 하나의 support만 선택하는 것보다 다수의 support를 선택하는 것이 더 낮은 sparsity의 신호를 복원할 수 있고 더 낮은 계산량의 이득을 가져오는 것을 확인 할 수 있다.

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ITERATIVE APPROXIMATION OF FIXED POINTS FOR φ-HEMICONTRACTIVE OPERATORS IN BANACH SPACES

  • Liu, Zeqing;An, Zhefu;Li, Yanjuan;Kang, Shin-Min
    • Communications of the Korean Mathematical Society
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    • v.19 no.1
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    • pp.63-74
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    • 2004
  • Suppose that X is a real Banach space, K is a nonempty closed convex subset of X and T : $K\;\rightarrow\;K$ is a uniformly continuous ${\phi}$-hemicontractive operator or a Lipschitz ${\phi}-hemicontractive$ operator. In this paper we prove that under certain conditions the three-step iteration methods with errors converge strongly to the unique fixed point of T. Our results extend the corresponding results of Chang [1], Chang et a1. [2], Chidume [3]-[7], Chidume and Osilike [9], Deng [10], Liu and Kang [13], [14], Osilike [15], [16] and Tan and Xu [17].

Performance of Noise Mitigation scheme based on EMD for Heterogeneous Networks (이기종 통신 시스템을 위한 EMD 기반 노이즈 완화 기법의 성능)

  • Sim, Isaac;Hwang, Yu Min;Yang, Byong Moon;Kim, Jin Young
    • Journal of Satellite, Information and Communications
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    • v.11 no.1
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    • pp.26-31
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    • 2016
  • In this paper, we proposed a scheme to mitigate noises based on the EMD scheme for heterogeneous communication systems. Noise-corrupted data can be decomposed into a finite number of IMF components. Using the EMD method, we can mitigate noise with eliminate noise-corrupted IMF components. We proposed iteration stop rule for reduce EMD computation time. Simulation results show that proposed EMD scheme based on proposed algorithm for iteration stop rule efficiently mitigates 3 types of noise and reduces its computational time.

Numerical Simulation of Pipe Flow with an Obstacle by applying Turbulent Models (난류모형을 적용한 장애물이 있는 파이프내의 유동장 수치시뮬레이션)

  • Kwag Seung- Hyun
    • Journal of Navigation and Port Research
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    • v.29 no.6 s.102
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    • pp.523-528
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    • 2005
  • The flow analysis is made to simulate the turbulent flow in the pipe with an obstacle. The models used are k-$\epsilon$, k-$\omega$, Spalart-Allmaras and Reynolds. The structured grid is used for the simulation The velocity vector, the pressure contour, the change of residual along the iteration number and the dynamic head are simulated for the comparison of four example cases. For the analysis, the commercial code is used.

An MMSE Based Iterative Soft Decision Interference Cancellation Scheme for Massive MIMO Systems (대규모 다중 입출력 시스템을 위한 MMSE 기반 반복 연판정 간섭 제거 기법)

  • Park, Sangjoon;Choi, Sooyong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.9
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    • pp.566-568
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    • 2014
  • In this letter, an MMSE based iterative soft decision interference cancellation scheme for massive MIMO systems is proposed. To reduce the complexity, the proposed scheme uses the Sherman-Morrison-Woodbury formula to compute the entire MMSE filtering vectors in one iteration by one matrix inverse operation. Simulation results show that the proposed scheme also has a comparable BER to the conventional scheme for massive MIMO systems.

Hierarchical Optimal Control of Nonlinear System using Haar Function (하알 함수를 이용한 비선형계의 계층별 최적제어)

  • Park, Jung-Ho;Cho, Young-Ho;Shin, Seung-Kwon;Chung, Je-Wook;Shim, Jae-Sun;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.485-487
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    • 1999
  • We propose the algorithm with which one can solve the problem of the two-level hierarchical optimal control of nonlinear systems by repeatedly updating the state vectors using the haar function and Picard's iteration methods. Using the simple operation of the coefficient vectors from the fast haar transformation in the upper level and applying that vectors to Picard iteration methods in the independently lower level allow us to obtain the another method except the inversion matrix operation of the high dimention and the kronecker product in the optimal control algorithm.

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Strong Convergence of Modified Iteration Processes for Relatively Weak Nonexpansive Mappings

  • Boonchari, Daruni;Saejung, Satit
    • Kyungpook Mathematical Journal
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    • v.52 no.4
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    • pp.433-441
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    • 2012
  • We adapt the concept of shrinking projection method of Takahashi et al. [J. Math. Anal. Appl. 341(2008), 276-286] to the iteration scheme studied by Kim and Lee [Kyungpook Math. J. 48(2008), 685-703] for two relatively weak nonexpansive mappings. By letting one of the two mappings be the identity mapping, we also obtain strong convergence theorems for a single mapping with two types of computational errors. Finally, we improve Kim and Lee's convergence theorem in the sense that the same conclusion still holds without the uniform continuity of mappings as was the case in their result.

$\mu$optimal controller design using equivalent weighting function (동등하중함수를 이용한 $\mu$-최적제어기 설계)

  • 방경호;이연정;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.1
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    • pp.65-71
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    • 1997
  • In this paper, we propose a new .mu.-controller design method using an equivalent weighting function $W_{\mu}$(s). The proposed mehtod is not guaranteed to converge to the minimum as D-K and .mu.-K iteration method. However, the robust performance problem can be converted into an equivalent $H^{\infty}$ optimization problem of unstructured uncertainty by using an equivalent weightng function $W_{\mu}$(s). Also we can find a .mu.-optimal controller iteratively using an error index $d_{\epsilon}$ of differnce between maximum singular value and .mu.-norm. And under the condition of the same order of scaling functions, the proposed method provides the .mu.-optimal controller with the degree less than that obtained by D-K iteration..

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A Study on The eigen-properties on Varied Structural 2-Dim. Waveguides by Krylov-Schur Iteration Method (Krylov-Schur 순환법을 이용한 다양한 2차원 구조의 도파관들에 관한 연구)

  • Kim, Yeong Min;Lim, Jong Soo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.2
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    • pp.10-14
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    • 2014
  • Krylov-Schur iteration method has been applied to the 2-Dim. waveguides of the varied geometrical structure. The eigen-equations for them have been constructed from FEM based on the tangential edge vectors of triangular elements. The eigen-values and their modes have been determined from the diagonal components of the Schur matrices and its transforming matrices. The eigen-pairs as the results have been revealed visually in the schematic representations.