• 대한수학회논문집
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• 제20권4호
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• pp.723-729
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• 2005

Let F be a non-trivial non-Archimedian field. The sequence spaces $\Gamma\;(F)\;and\;{\Gamma}^{\ast}(F)$ were defined and studied by Soma-sundaram[4], where these spaces denote the spaces of entire and analytic sequences defined over F, respectively. In 1997, these spaces were generalized by Mursaleen and Qamaruddin[1] by considering an arbitrary sequence $U\;=\;(U_k),\;U_k\;{\neq}\;0 \;(\;k\;=\;1,2,3,{\cdots})$. They characterized some classes of infinite matrices considering these new classes of sequences. In this paper, we further generalize the above mentioned spaces and define the spaces $\Gamma(u,\;F,\;{\Delta}),\;{\Gamma}^{\ast}(u,\;F,\;{\Delta}),\;l_p(u,\;F,\;{\Delta})$), and $b_v(u,\;F,\;{\Delta}$). We also study some matrix transformations on these new spaces.

• Kyungpook Mathematical Journal
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• 제58권2호
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• pp.271-289
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• 2018

Let 0 < q < ${\infty}$. In this study, we introduce the spaces ${\mathcal{BV}}_q$ and ${\mathcal{LS}}_q$ of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix ${\Delta}$ and summation matrix S in the space ${\mathcal{L}}_q$ of absolutely q-summable double sequences, respectively. Also, we determine their ${\alpha}$- and ${\beta}-duals$ and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q ${\leq}$ 1.

• 한국전자파학회논문지
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• 제10권2호
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• pp.257-266
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• 1999

In this paper, a spline-type divided-difference interpolation technique is proposed to efficiently evaluate the impedance matrix elements in the MoM analysis of layered medium problems. This method is combined with the fast computational method of the basis-expanded and tested dyadic Green's functions (expressed in the spectral domain integrals) in a recent literature. For the sake of its validity, the proposed method is applied to analyze the characteristics of a microstrip gap discontinuity, a microstrip filter, and an aperture coupled patch antenna. Numerical results obtained by this approach are in good agreement with those of other approaches.

• 음성과학
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• 제9권3호
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• pp.3-16
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• 2002

We examined some problems in speaker identification procedures: transformation of acoustic parameters into auditory scales, invalid measurement values, and comparability of spectral energy values across the frequency range. To resolve those problems, we analyzed the acoustic spectral energy of three Korean numbers produced by ten female students from narrow-band spectrograms at 19 proportional time points of each voiced segment. Then, cells of the first five spectral matrices were averaged to form a matrix model for each speaker. The correlation coefficients and sum of the absolute amplitude difference in each pair of the spectral models of the ten subjects were obtained. Also, some individual matrix models were compared to those of the same subject or the other subject with a similar spectral model. Results showed that in numbers '2' and '9' subjects could not be clearly distinguished from the others but in number '4' it shed some possibility of setting threshold values for speaker identification if we employed the coefficients and the sum of absolute difference. Further studies would be desirable on various combinations of the range of long-term average spectra and the degree of signal pre-emphasis.

• 한국지구과학회지
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• 제36권5호
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• pp.476-483
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• 2015

The high-order Laplacian-type filter, which is capable of providing isotropic and sharp cut-off filtering on the spherical domain, is essential in processing geophysical data. In this study, a spherical high-order filter was designed by combining the Fourier method with finite difference-method in the longitude and latitude, respectively. The regular grid system was employed in the filter, which has uniform angular spacing including the poles. The singularity at poles was eliminated by incorporating variable transforms and continuity-matching boundary conditions across poles. The high-order filter was assessed using the Rossby-Haurwitz wave, the observed geopotential, and observed wind field. The performance of the filter was found comparable to the filter based on the Galerkin procedure. The filter, employing the finite difference method, can be designed to give any target order of accuracy, which is an important advantage being unavailable in other methods. The computational complexity is represented with 2n-1 diagonal matrices solver with n being the target order of accuracy. Along with the availability of arbitrary target-order, it is also advantageous that the filter can adopt the reduced grid to increase computational efficiency.

• 한국수산과학회지
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• 제27권6호
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• pp.782-786
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• 1994

Dey and Morrison (1979)이 육상의 전기탐사문제의 해결에 성공적으로 적용한 적분차분법(integral finite different method)의 해양에서의 응용성을 연구해보기 위해, 해석해가 존재하는 연안역의 해수고유진동 문제를 도출하여 기존의 고유진동문제에 적용하여 보았다. 그 응용성의 평가는 기존 해양에 널리 적용되는 기존차분법(conventional finite different method)으로 구한 수치결과와 적분차분법으로 구한 결과를 해석해와의 비교검증을 통하여 실시되었다. 그 결과 적분차분법으로 구한 고유치와 고유함수값이 기존차분법으로 구한 결과보다 좋은것으로 나타났다. 이러한 결과는 적분차분법의 경우 원래의 기본방정식에 Green's theorem을 적용함으로써, 기본방정식에 존재하는 2계 미분연산자가 1계 미분연산자로 해석적으로 처리되었기 때문으로 사료된다. 따라서 적분차분법을 이용하여 해수고유진동문제를 비롯한 다른 유사문제를 풀 경우 기본차분법보다 좋은 결과가 나을 것으로 사료된다. 또한 미분방정식의 수치해를 구할 경우 적분법이 차분법보다 좋은해를 줄 수 있다는 것을 증명한 것으로 사료된다.

• Spatial Information Research
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• 제7권1호
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• pp.1-12
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• 1999

토지정보체계(Geographical Information System, GIS)에서 지형표고를 나타내는 수치지형정보(Digital Terrain Model, DTM)는 토공량 계산 조경, 토목, 가시구역 분석, 무선중계국 위치선정 등 GIS가 활용되면서 여러 분야에서 이용되고 있다. DIM의 표고정보 및 이를 활용한 경사도와 같은 2차 정보의 정확도는 광활하고 평탄한 지형에서는 격자 간격, 원자료의 해상력 등이 크게 문제되지 않을 수 있으나 한국과 같이 지형의 기복이 심하고 다양한 형태의 지형에서는 적절한 해상력, 원자료의 정확성 등이 지형 표현에 있어 중요한 요소가 되고 있다. 그러므로 본 연구의 목적은 95소프트웨어를 이용한 경사도 산출시 등고선의 정확도, 해상력, DTM의 자료구조에 따른 차이점을 분석하여 한국의 산악 지형에 적절한 해상력을 구하고자 하는 데 있다. 이를 위해 현재 세계적으로 많이 쓰이고 있는 DTM의 자료구조인 고도행렬식 기법(altitude matrices)을 활용한 격자형(raster) 자료구조인 Idrisi(ver. 2.0)와 비정규삼각망(Triangulated Irregular Network, TIN)자료구조인 ArcView(ver. 3.0a)를 사용하여 덕유산 국립공원의 1:25,000 지형도에서 생성한 DIM을 이용하여 경사도를 산출한 후 각각의 경사도 차이에 대해 비교 분석한 결과 다음과 같은 결론을 얻었다. 1) 해상력이 낮을수록 원자료의 등고선 간격이 클수록 지형의 smoothing 효과가 나타났다. 2) 격자형 자료구조인 Idrisi와 TIN자료구조인 ArcView사이의 경사도 값 차이는 해상력이 떨어질수록 큰 차이를 보였다. 3) 30개의 표본점을 선택해 오차 비교 결과 경사도 오차의 경우 격자형 자료구조인 Idrisi와TIN자료구조인 ArcView모두 해상력에 따른 큰 차이가 없었으며 표고차의 경우 ArcView는 l0m 등고선 간격에서 생성한 해상력 10, 20, 30m DTM에서 각각 4.9, 6.2, 5.9m로서 큰 차이가 없었고 Idrisi는 해상력 10, 20, 30m DTM에서 각각 6.3, 9.1, 10.9m로서 해상력이 감소할수록 표고 값의 오차가 늘었다. 4) Idrisi ArcView 모두 산정상부, 계곡 바닥과 같은 지형의 지성선을 고려하지 못하였다.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2002년도 춘계학술대회 논문집
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• pp.161-166
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• 2002

Low-tension cables have been increasingly used in recent years due to deep-sea developments and the advent of synthetic cables. In the case of low-tension cables, large displacements may happen due to relatively small restoring forces of tension and thus the effects of fluid and geometric non-linearities become predominant. In this study, three-dimensional (3-D) dynamic behavior of a towed low-tension cable with non-uniform characteristics is numerically analyzed by considering fluid and geometric non-linearities and bending stiffness. A Fortran program is developed by employing a finite difference method. In the algorithm, an implicit time integration and Newton-Raphson iteration are adopted. For the calculation of huge size of matrices, block tri-diagonal matrix method is applied, which is much faster than the well-known Gauss-Jordan method in two point boundary value problems. Some case studies are carried out and the results of numerical simulations are compared with a in-house program of WHOI Cable with good agreements.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제5권1호
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• pp.85-100
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• 2001

In this paper we propose a block-type parallel preconditioner for solving large sparse nonsymmetric linear systems, which we expect to be scalable. It is Multi-Color Block SOR preconditioner, combined with direct sparse matrix solver. For the Laplacian matrix the SOR method is known to have a nondeteriorating rate of convergence when used with Multi-Color ordering. Since most of the time is spent on the diagonal inversion, which is done on each processor, we expect it to be a good scalable preconditioner. Finally, due to the blocking effect, it will be effective for ill-conditioned problems. We compared it with four other preconditioners, which are ILU(0)-wavefront ordering, ILU(0)-Multi-Color ordering, SPAI(SParse Approximate Inverse), and SSOR preconditioner. Experiments were conducted for the Finite Difference discretizations of two problems with various meshsizes varying up to 1024 x 1024, and for an ill-conditioned matrix from the shell problem from the Harwell-Boeing collection. CRAY-T3E with 128 nodes was used. MPI library was used for interprocess communications. The results show that Multi-Color Block SOR and ILU(0) with Multi-Color ordering give the best performances for the finite difference matrices and for the shell problem only the Multi-Color Block SOR converges.

• 한국음향학회지
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• 제8권4호
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• pp.44-52
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• 1989

UCERSS (Unit Circle Eigendecomposition Rational Signal Subspace) 알고리듬은 MUSIC(MUltiple Signal Classification) 알고리듬을 2차원으로 확장하여 단위원 상에서의 eigendecomposition을 이용함으로써 다수의 광대역 신호의 입사각을 추정해 왔다. 이 논문의 목적은 신호대잡음비가 아주 낮은 경우에도 다수의 광대역 신호의 입사각을 추정할 수 있도록 UCERSS 알고리듬을 개선하는데 있다. 잡음 성분을 술이기 위해 covariance difference 행렬을 이용한 ESPRIT(Estimation of Signal Parameter via Rotational Invariance Technique) 알고리듬을 UCERSS 알고리듬과 결합하여 2차원으로 확장시킨 wide band ESPRIT 알고리듬을 제시하였다. 컴퓨터 시뮬레이션을 통하여 제시된 알고리듬의 성능을 UCERSS 알고리듬의 성능과 비교하여 제시된 알고리듬의 성능이 우수함을 보였다.