• 제목/요약/키워드: H-matrices

검색결과 221건 처리시간 0.028초

ON CONVERGENCE OF THE MODIFIED GAUSS-SEIDEL ITERATIVE METHOD FOR H-MATRIX LINEAR SYSTEM

  • Miao, Shu-Xin;Zheng, Bing
    • 대한수학회논문집
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    • 제28권3호
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    • pp.603-613
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    • 2013
  • In 2009, Zheng and Miao [B. Zheng and S.-X. Miao, Two new modified Gauss-Seidel methods for linear system with M-matrices, J. Comput. Appl. Math. 233 (2009), 922-930] considered the modified Gauss-Seidel method for solving M-matrix linear system with the preconditioner $P_{max}$. In this paper, we consider the modified Gauss-Seidel method for solving the linear system with the generalized preconditioner $P_{max}({\alpha})$, and study its convergent properties when the coefficient matrix is an H-matrix. Numerical experiments are performed with different examples, and the numerical results verify our theoretical analysis.

Matrix-Assisted Variable Wavelength Laser Desorption Ionization of Peptides; Influence of the Matrix Absorption Coefficient on Expansion Cooling

  • Ahn, Sung-Hee;Bae, Yong-Jin;Kim, Myung-Soo
    • Bulletin of the Korean Chemical Society
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    • 제33권9호
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    • pp.2955-2960
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    • 2012
  • Product ion yields in the in- and post-source decays of three peptide ions, $[Y_5X+H]^+$ (X = Y (tyrosine), K (lysine), and R (arginine)), generated by matrix-assisted laser desorption ionization (MALDI) were measured at six wavelengths, 307, 317, 327, 337, 347, and 357 nm, using ${\alpha}$-cyano-4-hydroxycinnamic acid (CHCA) and 2,5-dihydroxybenzoic acid (DHB) as the matrices. The temperatures of the early and late plumes generated by MALDI were estimated via kinetic analysis of the product ion yield data. For both matrices, the temperature drop (${\Delta}T$), i.e. the difference in the temperature between the early and late plumes, displayed negative correlation with the absorption coefficient. This was in agreement with the previous reasoning that deeper laser penetration and larger amount of material ablation arising from smaller absorption coefficient would result in larger extent of expansion cooling. The results support the postulation of the expansion cooling occurring in the plume presented previously.

P2P1 유한요소를 이용한 비압축성 Navier-Stokes 방정식 해법들의 행렬 특성 (CHARACTERISTICS OF MATRICES IN THE P2P1 FINITE ELEMENT METHODS FOR SOLVING THE INCOMPRESSIBLE NAVIER-STOKES EQUATION)

  • 조명환;최형권;유정열
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 춘계학술대회논문집
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    • pp.245-251
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    • 2009
  • Numerical algorithms for solving the incompressible Navier-Stokes equations using P2P1 finite element are compared regarding the eigenvalues of matrices. P2P1 element allocates pressure at vertex nodes and velocity at both vertex and mid nodes. Therefore, compared to the P1P1 element, the number of pressure variables in the P2P1 element decreases to 1/4 in the case of two-dimensional problems and to 1/8 in the three-dimensional problems. Fully-implicit-integrated, semi-implicit- integrated and semi-segregated finite element formulations using P2P1 element are compared in terms of elapsed time, accuracy and eigenvlue distribution (condition number). For the comparison,they have been applied to the well-known benchmark problems. That is, the two-dimensional unsteady flows around a fixed circular cylinder and decaying vortex flow are adopted to check spatial accuracy.

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A Review of the Efficacy of Ultraviolet C Irradiation for Decontamination of Pathogenic and Spoilage Microorganisms in Fruit Juices

  • Ahmad Rois Mansur;Hyun Sung Lee;Chang Joo Lee
    • Journal of Microbiology and Biotechnology
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    • 제33권4호
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    • pp.419-429
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    • 2023
  • Ultraviolet C (UV-C, 200-280 nm) light has germicidal properties that inactivate a wide range of pathogenic and spoilage microorganisms. UV-C has been extensively studied as an alternative to thermal decontamination of fruit juices. Recent studies suggest that the efficacy of UV-C irradiation in reducing microorganisms in fruit juices is greatly dependent on the characteristics of the target microorganisms, juice matrices, and parameters of the UV-C treatment procedure, such as equipment and processing. Based on evidence from recent studies, this review describes how the characteristics of target microorganisms (e.g., type of microorganism/strain, acid adaptation, physiological states, single/composite inoculum, spore, etc.) and fruit juice matrices (e.g., UV absorbance, UV transmittance, turbidity, soluble solid content, pH, color, etc.) affect the efficacy of UV-C. We also discuss the influences on UV-C treatment efficacy of parameters, including UV-C light source, reactor conditions (e.g., continuous/batch, size, thickness, volume, diameter, outer case, configuration/arrangement), pumping/flow system conditions (e.g., sample flow rate and pattern, sample residence time, number of cycles), homogenization conditions (e.g., continuous flow/recirculation, stirring, mixing), and cleaning capability of the reactor. The collective facts indicate the immense potential of UV-C irradiation in the fruit juice industry. Existing drawbacks need to be addressed in future studies before the technique is applicable at the industrial scale.

Fabrication, Microstructures and High-Strain-Rate Properties of TiC-Reinforced Titanium Matrix Composites

  • 신현호;박홍래;장순남
    • 소성∙가공
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    • 제8권3호
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    • pp.259-259
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    • 1999
  • TiC ceramic particulate-reinforced titanium matrix composites were fabricated and the resultant densification, microstructure, and static and dynamic mechanical properties were studied. Comparing Ti with TiH₂powders as host materials for TiC ceramic reinforcement by pressureless vacuum sintering, TiH₂-started composites showed better sinterability and resistance to both elastic and plastic deformation than Ti-started ones. When TiH₂and TiH₂-45 vol.%TiC samples were hot pressed, TiH₂matrices transformed to alpha prime Ti and alpha Ti phase, respectively. It is interpreted that the diffusion of an alpha stabilizer carbon from TiC into the matrix is one of the plausible reasons far such a microstructural difference. The 0.2% offset yield strengths of the hot pressed TiH₂and TiH₂-45 vol.%TiC samples were 1008 and 1446 MPa, respectively, in a static compressive mode (strain rate of 1×$10^{-3}$/s). Dynamic compressive strengths of the samples were 1600 and 2060 MPa, respectively, at a strain rate of 4×10³/s.

계층적 $C^0$ - 요소에 의한 보강판의 p-Version 유한요소 모델 (p-Version Finite Element Model of Stiffened Plates by Hierarchic $C^0$-Element)

  • 홍종현;우광성;신영식
    • 전산구조공학
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    • 제9권1호
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    • pp.33-45
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    • 1996
  • 전단변형을 고려한 보강재요소를 p-version 유한요소법을 사용하여 정식화 하였다. 적분형 르장드르 다항식으로부터 유도된 계층적 C/sup 0/-형상함수를 5자유도를 갖는 보강재와 평판요소의 조립강성도 행렬을 정의하는데 사용하였다. 보강재와 평판의 접속부에서 변위의 적합성을 만족시키기 위해 적절한 좌표변환행렬을 사용하여 국부좌표계에서 정의된 보강재의 강성도 행렬을 기준좌표계인 평판의 좌표계로 변환시켰다. 평판의 기준좌표계에 대한 보강재의 방향과 편심효과를 설명할 수 있는 변환행렬이 평판과 보강재의 접속부에서의 국부적인 거동과 합성구조로 된 보강판에서 평판과 보강재가 감당하는 상대적인 강도 분담을 파악하기 위해 사용되었다. p-version 유한요소법에 의한 결과를 기존의 연구결과와 비교하였으며, 특히 h-version유한요소해석 프로그램인 MICROFEAP-II의 결과를 비교하였다.

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Hydroxypropylmethylcellulose로부터 염산슈도에페드린의 방출조절에 관한 연구 (A Study on the Control of Pseudoephedrine Hydrochloride Release from Hydroxypropylmethylcellulose Matrices)

  • 조훈;방문수;정용석
    • 공업화학
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    • 제10권2호
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    • pp.201-205
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    • 1999
  • Hydroxypropylmethylcelluloses (HPMC)는 친수성 cellulose 계통의 중합체로서 독성이 적고 가격이 저렴하여 경구용 서방출성 제제에 널리 이용되고 있다. 본 연구에서는 매트릭스로서 HPMC를 이용하여 새로운 서방출성제제인 HPMC/염산슈도에페드린계를 설계하고, 직타법에 의하여 정제를 제조하였으며, 이 팽윤될 수 있는 친수성 약물전달계를 이용하여 약물의 방출에 영향을 주는 여러 인자들이 약물의 방출속도에 미치는 영향에 대하여 조사하였다. 결과로서, HPMC/염산슈도에페드린계에서 매트릭스인 HPMC의 분자량이 클수록, HPMC의 함량이 많을수록 약물의 방출속도가 더 느려짐을 알 수 있었으며, 정제의 경도나 용출시 pH 변화에는 무관한 것으로 나타났다. 특히, 음이온 계면활성제인 sodium laurylsulfate는 HPMC로부터 염산슈도에페드린의 방출속도를 지연시키는데 큰 영향을 미치는 것으로 나타났으며, 이러한 현상은 음이온 계면활성제인 sodium laurylsulfate가 반대의 이온성을 갖는 약물인 염산슈도에페드린과 착물을 형성함으로써 약물의 용해성이 떨어져서 약물방출이 지연되는 것으로 생각된다.

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통합 비디오 코덱을 위한 4×4/8×8 DCT와 양자화 회로의 고성능 구조 (High-Performance Architecture of 4×4/8×8 DCT and Quantization Circuit for Unified Video CODEC)

  • 이선영;조경순
    • 정보처리학회논문지A
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    • 제18A권2호
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    • pp.39-44
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    • 2011
  • 본 논문은 통합 비디오 코덱에 적용할 수 있는 DCT와 양자화 회로에 대한 고성능 구조를 제안한다. 제안된 구조는 JPEG, MPEG-1/2/4, H.264, VC-1과 같은 동영상 압축 표준들에 사용되는 모든 변환과 양자화에 적용할 수 있다. 통합 DCT 회로 구조를 위해 8x8 DCT의 변환행렬을 재배치하는 순열행렬을 정의하였고 $4{\times}4$ DCT의 변환행렬과 통합하기 위해 $8{\times}8$ 변환행렬을 4개의 $4{\times}4$ 변환행렬로 나누었다. $8{\times}8$ DCT는 재배치와 분할된 변환행렬을 기반으로 $4{\times}4$ DCT 연산을 반복하여 수행된다. 구현된 회로는 사용자가 변환 계수를 입력하기 때문에 앞으로 등장할 어떤 종류의 DCT 변환에도 매우 쉽게 확장할 수 있다. DCT 회로의 곱셈기들은 회로 크기를 최소화하기 위해 양자화 회로에서 사용되는 곱셈기들과 공유하였다. 이때, 양자화 회로는 회로 구현에 필요한 자원과 처리 시간의 증가 없이 DCT 회로와 통합된다. 제안된 DCT와 양자화 회로는 RTL로 구현하였고 FPGA가 탑재된 보드에서 동작을 검증하였다.

HILBERT FUNCTIONS OF STANDARD k-ALGEBRAS DEFINED BY SKEW-SYMMETRIZABLE MATRICES

  • Kang, Oh-Jin
    • 대한수학회지
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    • 제54권5호
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    • pp.1379-1410
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    • 2017
  • Kang and Ko introduced a skew-symmetrizable matrix to describe a structure theorem for complete intersections of grade 4. Let $R=k[w_0,\;w_1,\;w_2,\;{\ldots},\;w_m]$ be the polynomial ring over an algebraically closed field k with indetermiantes $w_l$ and deg $w_l=1$, and $I_i$ a homogeneous perfect ideal of grade 3 with type $t_i$ defined by a skew-symmetrizable matrix $G_i(1{\leq}t_i{\leq}4)$. We show that for m = 2 the Hilbert function of the zero dimensional standard k-algebra $R/I_i$ is determined by CI-sequences and a Gorenstein sequence. As an application of this result we show that for i = 1, 2, 3 and for m = 3 a Gorenstein sequence $h(R/H_i)=(1,\;4,\;h_2,\;{\ldots},\;h_s)$ is unimodal, where $H_i$ is the sum of homogeneous perfect ideals $I_i$ and $J_i$ which are geometrically linked by a homogeneous regular sequence z in $I_i{\cap}J_i$.

LMI-based $H_{\infty}$ Controller Design for a Line of Sight Stabilization System

  • Lee, Won-Gu;Keh, Joong-Eup;Kim, In-Soo;Lee, Man-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.497-497
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    • 2000
  • This paper is concerned with the design of LMI based H$_{\infty}$ controller for a line of sight(LOS) stabilization system. This system which is even linearized to analyse nonlinear characteristic has also a lot of uncertainties. In addition, the angular velocity disturbance from the vehicle's driving deteriorates the stabilized LOS, main purpose of this system. In case of fast driving, particularly, all components which are ignored and skipped to make mathematical modelling act as the uncertainties against this system. The robustness against these uncertainties has been also continuously demanded including the well tracking performance for the target. Therefore, this paper employed H$_{\infty}$ control theory to satisfy these problems and LMI method to make suitable controller with few constraints for this system. Although this system matrix doesn't have full rank, this method make it possible to design H$_{\infty}$ controller and deal with R and S matrices for reducing its order. Consequently, this paper shows that the re-analyses on the real disturbances are achieved and the proposed robust controller for them has better disturbance attenuation and tracking performance. This paper contributes the applicability of reduced order H$_{\infty}$ controller to real system by handling LMI..

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