• Title/Summary/Keyword: Newton's Approach

Search Result 55, Processing Time 0.023 seconds

A Comparison of Image Reconstruction Techniques for Electrical Resistance Tomography (Electrical Resistance Tomography의 영상복원 기법의 비교)

  • Kim, Ho-Chan;Boo, Chang-Jin;Lee, Yoon-Joon
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
    • /
    • v.19 no.3
    • /
    • pp.119-126
    • /
    • 2005
  • Electrical resistance tomography(ERT) maps resistivity values of the soil subsurface and characterizes buried objects. The characterization includes location, size and resistivity of buried objects. In this paper, Gauss-Newton, truncated least squares(TLS) and simultaneous iterative reconstruction technique(SIRT) methods are presented for the solution of the ERT image reconstruction. Computer simulations show that the spatial resolution of the reconstructed images by the TLS approach is improved as compared to those obtained by the Gauss-Newton and SIRT method.

Experimental approach for catalyst bed sizing of liquid propellant thruster (액체추력기 촉매베드 크기 결정을 위한 실험적 방법)

  • An, Sung-Yong;Kwon, Se-Jin
    • Journal of the Korean Society of Propulsion Engineers
    • /
    • v.12 no.3
    • /
    • pp.24-33
    • /
    • 2008
  • A 50 Newton monopropellant thruster being developed for attitude control in a variety of aerospace application systems is described in this paper. A scaled down thruster with platinum on aluminum oxide in the reaction chamber was tested to determine the catalyst capacity. A scaled up thruster which was designed and fabricated using data obtained from a small scale device was evaluated by its decomposition efficiency based on the temperature, the efficiency of characteristic velocity, and the measurement of thrust. The performance of a scaled up thruster was marked by a measured thrust of 42 Newton, 98 % efficiency of the characteristic velocity, a specific impulse of 123 sec at sea level.

An Astronomer's View on the Current College-Level Textbook Descriptions of Tides

  • Ahn, Kyung-Jin
    • Journal of the Korean earth science society
    • /
    • v.30 no.5
    • /
    • pp.671-681
    • /
    • 2009
  • In the equilibrium theory of tides by Newton, tide on the Earth is a phenomenon driven by differential gravity contributed both by the Sun and the Moon. Due to the direct link of the generic tidal effect to the oceanic tides, college students in the earth science education department are exposed to this theory through oceanography lectures as well as astronomy lectures. Common oceanography textbooks adopt a non-inertial reference frame fixed to the Earth in which the fictitious, centrifugal force appears. This has a potential risk to provide misconceptions among students in various aspects including the followings: 1) this is how Newton originally derived the equilibrium theory of tides, and 2) the tide is a phenomenon appearing only in rotating systems. We show that in astronomy, a much simpler description, which employs the inertial frame, is generally used to explain tides and thus causes less confusion. We argue that the description used in astronomy is preferable both in the viewpoints of simplicity and ease of interpretation. Moreover, on a historical basis, an inertial frame was adopted by Newton in Principia to explain tides. Thus, the description used in astronomy is consistent with Newton's original approach. We also present various astrophysical tides which do not comply with the concept of centrifugal force in general. We therefore argue that the description used in oceanography should be compensated by that in astronomy, due to its complexity, historical inconsistency and limited applicability.

ADAPTATION OF THE MINORANT FUNCTION FOR LINEAR PROGRAMMING

  • Leulmi, S.;Leulmi, A.
    • East Asian mathematical journal
    • /
    • v.35 no.5
    • /
    • pp.597-612
    • /
    • 2019
  • In this study, we propose a new logarithmic barrier approach to solve linear programming problem using the projective method of Karmarkar. We are interested in computation of the direction by Newton's method and of the step-size using minorant functions instead of line search methods in order to reduce the computation cost. Our new approach is even more beneficial than classical line search methods. We reinforce our purpose by many interesting numerical simulations proved the effectiveness of the algorithm developed in this work.

Generation Rescheduling Considering Generation Fuel Cost and CO2 Emission Cost (발전연료비용과 탄소배출비용을 고려한 발전력 재배분)

  • Kim, Kyu-Ho;Rhee, Sang-Bong;Song, Kyung-Bin;Hwang, Kab-Ju
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.62 no.5
    • /
    • pp.591-595
    • /
    • 2013
  • This paper presents a method of generation rescheduling using Newton's Approach which searches the solution of the Lagrangian function. The generation fuel cost and $CO_2$ emission cost functions are used as objective function to reallocate power generation while satisfying several equality and inequality constraints. The Pareto optimum in the fuel cost and emission objectives has a number of non-dominated solutions. The economic effects are analyzed under several different conditions, and $CO_2$ emission reductions offered by the use of storage are considered. The proposed approach can explore more efficient and noninferior solutions of a Multiobjective optimization problem. The method proposed is applied to a 4-machine 6-buses system to demonstrate its effectiveness.

A Robust and Efficient Method to Compute the Closest Approach Distance between Two Ellipsoids (두 타원체 사이의 최단 접근 거리를 구하는 안정적이며 효율적인 방법)

  • Choi, Min Gyu
    • Journal of Korea Game Society
    • /
    • v.19 no.6
    • /
    • pp.99-106
    • /
    • 2019
  • This paper addresses a method to compute the closest approach distance between two ellipsoids in their inter-center direction. This is the key technique for collision detection and response between ellipsoids. We formulate a set of conditions with the inter-center distance, the contact point and the contact normal vector of the two externally-contacting ellipsoids. The equations are solved robustly and efficiently using a hybrid of Newton's method and the bisection method with root bracketing. We demonstrate the robustness and efficiency of the proposed method in various experiments.

Quasi-Likelihood Approach for Linear Models with Censored Data

  • Ha, Il-Do;Cho, Geon-Ho
    • Journal of the Korean Data and Information Science Society
    • /
    • v.9 no.2
    • /
    • pp.219-225
    • /
    • 1998
  • The parameters in linear models with censored normal responses are usually estimated by the iterative maximum likelihood and least square methods. However, the iterative least square method is simple but hardly has theoretical justification, and the iterative maximum likelihood estimating equations are complicatedly derived. In this paper, we justify these methods via Wedderburn (1974)'s quasi-likelihood approach. This provides an explicit justification for the iterative least square method and also directly the iterative maximum likelihood method for estimating the regression coefficients.

  • PDF

DEEP LEARNING APPROACH FOR SOLVING A QUADRATIC MATRIX EQUATION

  • Kim, Garam;Kim, Hyun-Min
    • East Asian mathematical journal
    • /
    • v.38 no.1
    • /
    • pp.95-105
    • /
    • 2022
  • In this paper, we consider a quadratic matrix equation Q(X) = AX2 + BX + C = 0 where A, B, C ∈ ℝn×n. A new approach is proposed to find solutions of Q(X), using the novel structure of the information processing system. We also present some numerical experimetns with Artificial Neural Network.

Geometrical nonlinear bending characteristics of SWCNTRC doubly curved shell panels

  • Chavan, Shivaji G.;Lal, Achchhe
    • Advances in aircraft and spacecraft science
    • /
    • v.5 no.1
    • /
    • pp.21-49
    • /
    • 2018
  • In this paper, geometric nonlinear bending characteristics of single wall carbon nanotube reinforced composite (SWCNTRC) doubly curved shell panels subjected to uniform transversely loadings are investigated. The nonlinear mathematical model is developed for doubly curved SWCNTRC shell panel on the basis of higher-order shear deformation theory and Green- Lagrange nonlinearity. All nonlinear higher order terms are included in the mathematical model. The effective material properties of SWCNTRC are estimated by using Eshelby-Mori-Tanaka micromechanical approach. The governing equation of the shell panel is obtained using the total potential energy principle and a Newton-Raphson iterative method is employed to compute the nonlinear displacement and stresses. The present results are compared with published literature. The effect of SWCNT volume fraction, width-to-thickness ratio, radius-to-width ratio (R/a), boundary condition, linear and nonlinear deflection, stresses and different types of shell geometry on nonlinear bending response is investigated.

Topological Modeling Approach of Multibody System Dynamics for Lifting Simulation of Floating Crane (다물체계 동역학의 위상 관계 모델링 기법을 적용한 해상 크레인의 리프팅 시뮬레이션)

  • Ham, Seung-Ho;Cha, Ju-Hwan;Lee, Kyu-Yeul
    • Korean Journal of Computational Design and Engineering
    • /
    • v.14 no.4
    • /
    • pp.261-270
    • /
    • 2009
  • We can save a lot of efforts and time to perform various kinds of multibody system dynamics simulations if the equations of motion of the multibody system can be formulated automatically. In general, the equations of motion are formulated based on Newton's $2^{nd}$law. And they can be transformed into the equations composed of independent variables by using velocity transformation matrix. In this paper the velocity transformation matrix is derived based on a topological modeling approach which considers the topology and the joint property of the multibody system. This approach is, then, used to formulate the equations of motion automatically and to implement a multibody system dynamics simulation program. To verify the the efficiency and convenience of the program, it is applied to the lifting simulation of a floating crane.