• 대한전기학회논문지:전력기술부문A
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• 제48권8호
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• pp.958-964
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• 1999

The distance in load parameter space to the closest saddle node bifurcation (CSNB) point provides the worst case power margin to voltage instability and the left eigenvector at CSNB identifies the most effective direction to steer the system to maximize voltage stability under contingency. This paper presents an improved direct method for computing CSNB: the order of nonlinear systems equations is reduced to about twice of the size of load flow equations in contrast to about three-times in Dobson's direct method; the initial guess for the direct method is computed efficiently and robustly by combined use of continuation power flow, a pair of multiple load flow solution with Lagrange interpolation. It is also shown that voltage stability may be enhanced significantly with shift of generations in the direction of the left eigenvector at CSNB.

• 한국정밀공학회지
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• 제17권11호
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• pp.129-139
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• 2000

The problem of eigenvalue and eigenvector is obtained from a V-notched crack in pseudo-isotropic dissimilar materials by the traction free boundary and the perfect bonded interface conditions. The complex stress function is assumed as the two-term William's type. The eigenvalue is solved by a commercial numerical program, MATHEMATICA to discuss stress singularities for V-notched cracks in pseudo-isotropic dissimilar materials. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination to eigenvector coefficients associated with eigenvalues. The RWCIM algorithm is also coded by the MATHEMATICA.

• 대한수학회논문집
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• 제32권1호
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• pp.215-224
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• 2017

In this paper, we propose a method of order two for the computation of positive solutions to a boundary value problem of the linear beam equation. The method is based on the Power method for the eigenvector associated with the dominant eigenvalue and the Crout-like factorization algorithm for the banded system of linear equations. It is extremely fast due to the linear complexity of the linear system solver. Numerical result of a test problem is included.

• 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.

• 한국통신학회논문지
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• 제22권3호
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• pp.515-523
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• 1997

A high resolution algorithm is presented for resolving multiple coherent spread spectrum signals that are incident on an equispaced linear array. Unlike the conventional noise-eigenvector based methods, this algorithm makes use of the signal eigenvectors of the array spectral density matrix that are associates with eigenvalues that are larger than the sensor noise level. Simulation results are shown to demonstate the high performance of the proposed approach in comparison with MUSIC in which coherent signal subspace method (CSM) is employed.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1994년도 추계학술대회 논문집 학회본부
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• pp.319-321
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• 1994

When a few eigenvalues and eigenvectors are desired, Rayleigh Quotient Iteration(RQI) is widely used. The ROI, however, cannot give maximum or minimum eigenvalue/eigenvector. In this paper, Modified Rayleigh quotient Iteration(MRQI) is developed. The MRQI can give the maximum or minimum eigenvalue/eigenvector regardless of tile initial starting vector.

• 호남수학학술지
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• 제44권2호
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• pp.195-208
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• 2022

In this article, the matrix representation of commutative elliptic octonions and their properties are described. Firstly, definitions and theorems are given for the commutative elliptic octonion matrices using the elliptic quaternion matrices. Then the adjoint matrix, eigenvalue and eigenvector of the commutative elliptic octonions are investigated. Finally, α = -1 for the Gershgorin Theorem is proved using eigenvalue and eigenvector of the commutative elliptic octonion matrix.

• 한국음향학회지
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• 제25권1호
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• pp.36-42
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• 2006

본 논문에서는 화자검증 시스템의 성능향상을 위해서 주성분 분석 (PCA) 기반 Mel-Frequency Discrete Wavelet Coefficients (MFDWC) 추출방법을 제안한다. 제안된 방법에서는 멜척도 (Mel-scale)를 근사화한 각 레벨 (level)의 각 노드 (node) 에너지를 계산하기 위해 기존의 평균치 대신 주성분 분석을 이용한 첫 번째 eigenvector를 이용한다. 이 eigenvecto.의 제곱의 합은 1로서 일반적인 가중 함수 (weighting function)의 조건을 만족하고, 또한 각 화자마다 서로 다른 값을 갖게 되므로, 화자의 특징을 더 잘 나타내는 MFDWC를 추출할 수 있다. 화자검증은 Gaussian Mixture Model (GMM) 기반의 백그라운드 모델과 화자 모델과의 점수를 비교하는 이진 결정 (binary decision) 방법을 이용하여 Universal 백그라운드 모델 (UBM)과 각 화자 모델의 값을 프레임단위로 비교하여 대상 화자의 수락/거부 여부를 결정하는 방법을 채택하였다. 특징 파라미터에 따른 화자 검증 성능변화를 확인하기 위하여 제안된 화자종속 가중함수를 이용한 MFDWC를 특징 파라미터로 이용한 경우와 Mel-Frequency Cepstral Coefficients (MFCC), Linear Predictive Cepstral Coefficients (LPCC), 기존의 MFDWC를 특징 파라미터로 이용한 경우에 대하여 성능비교실험을 수행한 결과 각각 $0.80\%,\;5.14\%,\; 6.69\%$의 향상된 성능을 나타내어 제안한 방법의 유효성을 확인할 수 있었다.

• 대한기계학회논문집A
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• 제22권1호
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• pp.23-32
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• 1998

A shape estimation is needed to control actively a smart structure. A method is, hence, proposed to predict the deformed shape of the structure subjected to unknown external load using the signal from sensors attached to the structure. The shape estimation is based on the relationship between the deformation of the structure and the signal from the sensors. The matrix containing the relationship between the deformation and signal is obtained using fictitious force or eigenvector of global stiffness matrix. Then the deformed shape can be predicted using the linear matrix and signal from sensors attached to the structure. To verify this method, experiment and FEM were performed and it was shown that the shape estimation method based on the fictitious force predicts deflections well and more accurately than that based on eigenvector.

• 한국경제지리학회지
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• 제12권2호
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• pp.179-194
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• 2009

도시에서 범죄는 해당 지역 인구의 사회경제적 특징과 공간적 상호관계를 반영한다. 범죄의 피의자와 피해자 사이의 상호작용은 범죄패턴의 공간적 자기상관으로 나타난다. 이러한 범죄의 공간자기상관은 일반적인 최소자승모델에서 편향된 추정치를 제공하여 잘못된 해석으로 이어질 수 있다. 본 연구는 도시주거범죄로서 2000년에 오하이오주 콜럼버스에서 발생한 주거 강도와 절도를 분석 하였다. 특히 주거 범죄율의 공간적 분포패턴은 공간자기상관을 반영하는 아이겐벡터(Eigenvector)를 이용하여 최소자승모델로 분석 하였다. 아이겐 벡터를 이용한 공간자기상관의 필터링은 기존의 모델에서는 잔차에 남아있던 공간자기상관 요소를 설명하기 때문에, 더 효율적인 추정을 가능하게 하였다. 경제적 궁핍과 범죄의 기회가 주거범죄율을 추정하는데 통계적으로 유의미한 요인이었다.