• Title/Summary/Keyword: diagonal method

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ESOR METHOD WITH DIAGONAL PRECONDITIONERS FOR SPD LINEAR SYSTEMS

  • Oh, Seyoung;Yun, Jae Heon;Kim, Kyoum Sun
    • Journal of applied mathematics & informatics
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    • v.33 no.1_2
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    • pp.111-118
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    • 2015
  • In this paper, we propose an extended SOR (ESOR) method with diagonal preconditioners for solving symmetric positive definite linear systems, and then we provide convergence results of the ESOR method. Lastly, we provide numerical experiments to evaluate the performance of the ESOR method with diagonal preconditioners.

A study on the diagonal error compensation and squareness measurement of linear motor (리니어 모터의 직각도 측정과 대각선 오차 보정에 관한 연구)

  • Kim J.H.;Lee C.W.;Song J.Y.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.287-288
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    • 2006
  • This paper introduces an approach of method to compensate accuracy error of diagonal direction. The measurement of squareness error is an important parameter in performance test of two axis Linear Motor and this exerts influence on accuracy error of diagonal test. However, previous knowledge management approaches are limited in deviation measurement of optical axis or restrictive elements of diagonal measurements using laser interferometer. But this proposed method calculated diagonal accuracy error which was occurred by squareness error and compensated squareness error using orthogonal correction method of PMAC. From this result, diagonal accuracy error is significantly reduced. This experimental results show that geometric error of squareness error is easily corrected by dynamic coordinate correction.

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Natural vibration analysis of diagonal networks

  • Chai, W.S.;Li, Y.;Chan, H.C.
    • Structural Engineering and Mechanics
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    • v.6 no.5
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    • pp.517-527
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    • 1998
  • This paper describes an exact method of analysis for natural vibration of diagonal networks by considering an equivalent cyclic periodic structure and adopting the double U-transformation technique. Both a lumped mass system and a distributed mass system are considered to investigate the diagonal networks. The exact solution for the frequency equations and the natural modes of the networks can be derived. As numerical examples, square diagonal cable networks with different meshes are worked out.

Function Approximation Using an Enhanced Two-Point Diagonal Quadratic Approximation (개선된 이점 대각 이차 근사화를 이용한 함수 근사화)

  • Kim, Jong-Rip;Kang, Woo-Jin;Choi, Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.4
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    • pp.475-480
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    • 2004
  • Function approximation is one of the most important and active research fields in design optimization. Accurate function approximations can reduce the repetitive computational effort fur system analysis. So this study presents an enhanced two-point diagonal quadratic approximation method. The proposed method is based on the Two-point Diagonal Quadratic Approximation method. But unlike TDQA, the suggested method has two quadratic terms, the diagonal term and the correction term. Therefore this method overcomes the disadvantage of TDQA when the derivatives of two design points are same signed values. And in the proposed method, both the approximate function and derivative values at two design points are equal to the exact counterparts whether the signs of derivatives at two design points are the same or not. Several numerical examples are presented to show the merits of the proposed method compared to the other forms used in the literature.

Designing observer-based robust compensators for parametric uncertain systems by block-diagonal approach (분리 최적화 기법을 이용한 구조적 불확실계의 강인 제어기 설계)

  • 김경수;박영진
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.109-112
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    • 1997
  • In this note, we investigate a noniterative design method of an observer-based robust H$\_$2/ controller in the presence of structured real parameter uncertainty by applying Riccati approach based on the guaranteed cost function. Motivated by the numerical difficulty of the problem, we try to develop a simple design method named as block-diagonal approach, which can be solved by the LMIs method. By assuming the block-diagonal structure of Riccati solution, the original problem can be derived into two sequentially decoupled optimization problems as LQG control problem. The proposed method seems to be numerically efficient in obtaining a feasible compensator.

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Measurement of the Power of a Cylindrical Lens with the Magnification Ellipse Fitting Method (배율 타원 근사법을 실린더 렌즈의 굴절력 측정)

  • Ko, Woo-Seok;Ye, Sang-Heon;Kwak, Yoon-Keun;Kim, Soo-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.2
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    • pp.43-48
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    • 2008
  • This paper proposes a new method for measuring the power of spherical and cylindrical lens with 6 points light source, which is composed of a LED and six holes, and magnification ellipse fitting algorithm. Each measured diagonal length of 6 points light source is determined by the target lens power. After finding the center position of each light point with threshold method, 3 axis-diagonal lengths were calculated. The long axis and short axis power of cylindrical lens can be calculated by using magnification ellipse fitting algorithm with the magnification relationships between the initial diagonal lengths and the measured diagonal lengths changed by lens power.

Design and Experimental Studies of Radial-Outflow Type Diagonal Flow Fan

  • Kinoue, Yoichi;Shiomi, Norimasa;Setoguchi, Toshiaki
    • International Journal of Fluid Machinery and Systems
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    • v.6 no.1
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    • pp.18-24
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    • 2013
  • In order to apply the design method of diagonal flow fan based on axial flow design to the design of radial-outflow type diagonal flow fan which has lower specific speed of 600-700 [$min^{-1}$, $m^3/min$, m], radial-outflow type diagonal flow fan which specific speed was 670 [$min^{-1}$, $m^3/min$, m] was designed by a quasi three-dimensional design method. Experimental investigations were conducted by fan characteristics test, flow surveys by a five-hole probe and a hot wire probe. Fan characteristics test agreed well with the design values. In the flow survey at rotor outlet, the characteristic region was observed. Two flow phenomena are considered as the cause of the characteristic region, one is tip leakage vortex near rotor tip and another is pressure surface separation on the rotor blade.

Optimization of Channel Capacity in MIMO Systems

  • Pham Van-Su;Le Minh Tuan;Yoon Giwan
    • Journal of information and communication convergence engineering
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    • v.3 no.4
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    • pp.172-175
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    • 2005
  • In this paper, a new method to get the optimum channel capacity of a Multiple-Input Multiple­Output (MIMO) system is presented. The proposed method exploits the diagonal structure of channel matrix to maximize the channel capacity. The diagonal format of the channel matrix is formed by multiplying the transmitted signal with the pre-compensated channel PCC) matrix. Numerical simulations show that the proposed method exploiting the diagonal structure of channel matrix could significantly increase the system capacity compared with the system without applying the diagonal structure of channel matrix.

A New Approach to Get the Optimum Channel Capacity in MIMO Systems

  • Su, Pham-Van;Tuan, Le-Minh;Giwan Yoon
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2002.11a
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    • pp.317-319
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    • 2002
  • In this paper, a new method to get the optimum channel capacity of a Multiple-Input Multiple-Output (MIMO) system is presented. The proposed method exploits the diagonal structure o f channel matrix in order to maximize the channel capacity. The diagonal format of the channel matrix is formed by multiplying the transmitted signal with the precompensated channel (PCC) matrix. Numerical simulations show that the proposed method exploiting the diagonal structure of channel matrix could significantly increase the system capacity compared with the system without applying the diagonal structure of channel matrix.

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