• 대한수학회지
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• 제57권4호
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• pp.973-986
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• 2020

In this paper, we compute the Hankel matrix representation of the Hankel operator on the Hardy space of a general bounded domain with respect to special orthonormal bases for the Hardy space and its orthogonal complement. Moreover we obtain the compact form of the Hankel matrix for the unit disc case with respect to these bases. One can see that the Hankel matrix generated by this computation turns out to be a generalization of the case of the unit disc from the single simply connected domain to multiply connected domains with much diversities of bases.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1992년도 가을 학술발표회 논문집
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• pp.105-111
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• 1992

A computer program for matrix structural analysis by object-oriented programming technique using $C^{++}$ language has been developed. Object, class, method and inheritance which are used in object-oriented programming are illustrated using a graphical representation. The matrix operations and the structural analysis by matrix displacement method were satisfactorily performed by the proposed program. Numerical tests demonstrate that this proposed program can be widely used for the matrix structural analysis for personal computers.s.

• Journal of applied mathematics & informatics
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• 제39권1_2호
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• pp.125-131
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• 2021

In the paper, we investigate the representation of the numerical range W(An) for the 2 × 2 complex matrix A, in terms of the numerical range W(A) of the matrix A, and the elements of A or the eigenvalue of A.

• Kyungpook Mathematical Journal
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• 제28권2호
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• pp.221-226
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• 1988

Using the method of eigenfunction expantion of self adjoint operators, we establish the necessary and sufficient conditions for a reflection positive generalized matrix kernel to be represented in an integral form. This integral converges in the cosidered spaces.

• 대한수학회보
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• 제56권1호
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• pp.187-200
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• 2019

Truncated Hankel operators are compressions of classical Hankel operators to model spaces. In this paper we describe matrix representations of truncated Hankel operators on finite-dimensional model spaces. We then show that the obtained descriptions hold also for some infinite-dimensional cases.

• 호남수학학술지
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• 제43권4호
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• pp.691-700
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• 2021

In this paper, we compute directly the Hankel matrix representation of the Hankel operator on the Hardy space of the unit disc without using any classical kernel functions with respect to special orthonormal bases for the Hardy space and its orthogonal complement. This gives an elementary proof for the formula.

• Journal of Computing Science and Engineering
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• 제8권2호
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• pp.65-77
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• 2014

To address the problem of multi-target retrieval (MTR) of remote sensing images, this study proposes a new object-level feature representation model. The model provides an enhanced application image representation that improves the efficiency of MTR. Generating the model in our scheme includes processes, such as object-oriented image segmentation, feature parameter calculation, and symbolic image database construction. The proposed model uses the spatial representation method of the extended nine-direction lower-triangular (9DLT) matrix to combine spatial relationships among objects, and organizes the image features according to MPEG-7 standards. A similarity metric method is proposed that improves the precision of similarity retrieval. Our method provides a trade-off strategy that supports flexible matching on the target features, or the spatial relationship between the query target and the image database. We implement this retrieval framework on a dataset of remote sensing images. Experimental results show that the proposed model achieves competitive and high-retrieval precision.

• 대한수학회지
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• 제27권2호
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• pp.223-230
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• 1990

• 인지과학
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• 제30권3호
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• pp.133-156
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• 2019

본 연구는 수검자가 검사 문항을 어떻게 이해했는지를 조사하기 위해 검사문항의 의미표상을 탐구하였다. 잠재의미분석을 활용하여 성격검사문항과 성격요인의 의미표상 간 유사도를 나타내는 의미유사도 행렬을 제안하였고, 이를 기존의 탐색적 요인분석 결과와 비교하였다. 이를 위해 예비 연구에서 대학생 154명을 대상으로 제한된 맥락에서 성격의 5요인을 각각 묘사하는 지문을 수집하였고, 이를 바탕으로 5차원의 축소하여 의미공간을 구성하였다. 연구 1에서는 간편형 한국어 BFI의 요인부하량 행렬과, 예비 연구에서 구성한 의미공간에서 생성한 의미유사도 행렬을 비교하여, 두 행렬이 높은 정적 상관이 있음을 보여주었다. 연구 2에서는 의미유사도를 기반으로 성격검사문항을 생성하고, 수검자의 반응을 수집하여 탐색적 요인분석을 통해 요인구조를 도출하여 두 행렬이 유사함을 보였다. 결론적으로 본 연구는 성격검사에 대한 수검자의 반응 없이 검사문항의 의미표상을 분석하여 구성타당도를 추론할 수 있는 방법을 제안하였고, 성격검사의 요인구조를 검사문항과 성격요인의 의미표상 간 유사도로 해석할 수 있음을 보여주었다. 이러한 결과는 성격검사 개발에 실용적인 도움을 줄 수 있을 것이다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2007년도 심포지엄 논문집 정보 및 제어부문
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• pp.281-282
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• 2007

We address a new representation of DCT/DFT/Wavelet matrices via one hybrid architecture. Based on an element inverse matrix factorization algorithm, we show that the OCT, OFT and Wavelet which based on Haar matrix have the similarrecursive computational pattern, all of them can be decomposed to one orthogonal character matrix and a special sparse matrix. The special sparse matrix belongs to Jacket matrix, whose inverse can be from element-wise inverse or block-wise inverse. Based on this trait, we can develop a hybrid architecture.