• 대한수학회지
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• 제52권6호
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• pp.1271-1286
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• 2015

An operator T on a complex Hilbert space H is called skew symmetric if T can be represented as a skew symmetric matrix relative to some orthonormal basis for H. In this paper, we study skew symmetric operators with eigenvalues. First, we provide an upper-triangular operator matrix representation for skew symmetric operators with nonzero eigenvalues. On the other hand, we give a description of certain skew symmetric triangular operators, which is based on the geometric relationship between eigenvectors.

• Journal of the Korean Statistical Society
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• 제24권1호
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• pp.183-195
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• 1995

For a distribution on the unit sphere, the set of eigenvectors of the second moment matrix is a conventional measure of orientation. Asymptotic confidence cones for eigenvector under the parametric assumptions for the underlying distributions and nonparametric confidence cones for eigenvector based on bootstrapping were proposed. In this paper, to reduce the level error of confidence cones for eigenvector, double bootstrap confidence cones based on prepivoting are considered, and the consistency of this method is discussed. We compare the perfomances of double bootstrap method with the others by Monte Carlo simulations.

• 한국생산제조학회지
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• 제22권6호
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• pp.950-956
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• 2013

This paper describes a sensitivity-coefficient-based iterative method for detecting cracks in a structure. The sensitivity coefficients of a cracked structure are obtained by changing its eigenvectors. The proposed method is applied to a cracked cantilever. The crack is modeled as a rotational stiffness. The predicted cracks are in good agreement with those from a structural reanalysis of the cracked structure.

• 자연과학논문집
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• 제16권1호
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• pp.49-54
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• 2005

행렬의 고유치를 계산하는 방법을 가르칠 때 역거듭제곱방법을 소개한다. 이 방법의 알고리즘을 이론적인 면에서 이해하기 쉬운 알고리즘과 계산적인 면에서 효과적인 알고리즘을 비교한다.

• 한국공작기계학회논문집
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• 제12권6호
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• pp.50-55
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• 2003

This study proposed the analysis of damage detection due to the change of the stiffness of structure by using the original and modified dynamic characteristics. The present approach allows the use of composite data which consist of eigenvalues and eigenvectors. The suggested method is applied to examples of a cantilever and 3 degree of freedom system by modifying the stiffness. The predicted damage detections are in good agreement with these from the structural reanalysis using the modified stiffness.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제18권3호
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• pp.185-199
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• 2011

In this paper, we present a new extended Jacobi method for computing eigenvalues and eigenvectors of Hermitian matrices which does not use any complex arithmetics. This method can be readily applied to skew-Hermitian and real skew-symmetric matrices as well. An example illustrating its computational efficiency is given.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
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• pp.1123-1126
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• 1990

A new controller design algorithm based on the Hessenberg form for linear control systems has een proposed. The controller is composed of the dynamic compensator and the state feedback (dynamic state feedback). The algorithm gives a simple way to assign the eigenstructure (eigenvalues and eigenvectors) of the closed loop system and it also provides a method to assign the frequency shapes near the corner frequencies of the closed loop transfer function matrix. Because of this property, the algorithm is called the independent frequency shape control (IFSC) method.

• Journal of the Korean Data and Information Science Society
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• 제3권1호
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• pp.33-46
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• 1992

The set of eigenvectors of the second moment matrix and the mean vector are the measures of orientation for a distribution supported on the unit sphere. Bootstrap confidence cone for the eigenvector is constructed and the consistency of this method is discussed. The performance of our bootstrap cone for the eigenvector is compared with that of the asymptotic confidence cones for two measures under the parametric assumptions for the underlying distributions and that of the bootstrap cone for the mean vector by Monte Carlo simulation.

• 천문학회보
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• 제36권2호
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• pp.56.2-56.2
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• 2011

Building a relativistic magnetohydrodynamic (RMHD) codes based on upwind schemes is a challenging project, because the characteristic wave structures for RMHDs has not yet been analytically given. We obtained an analytic expression of eigenvalues and eigenvectors of the flux Jacobian matrix of RMHDs for one-dimensional, isothermal flows with two velocity and magnetic field components (that is, x and y components only), which can be used to build numerical codes. The degeneracies were taken into account. Here, we present preliminary test results with an RMHD code based on the total variation diminishing (TVD) scheme.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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• pp.253-260
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• 2001

In a structural inverse problem with a limitation to the number of measuring degrees of freedom, the selection of optimal sensor locations (OSL) is critical for a good result. The current research proposes and a new OSL method and compares it with a widely used OSL method. The proposed method utilizes the sensitivity of eigenvectors with respect to the structural parameters. A simulation study for a tower structure is carried out. The structural parameters are estimated by a SI method. The influences of OSL on SI results are investigated.