• 제목/요약/키워드: H-matrix

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CONVERGENCE ANALYSIS OF PRECONDITIONED AOR ITERATIVE METHOD

  • Hessari, P.;Darvishi, M.T.;Shin, B.C.
    • 호남수학학술지
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    • 제32권3호
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    • pp.399-412
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    • 2010
  • In this paper, we consider a preconditioned accelerated overrelaxation (PAOR) method to solve systems of linear equations. We show the convergence of the PAOR method. We also give com-parison results when the coefficient matrix is an L- or H-matrix. Finally, we provide some numerical experiments to show efficiency of PAOR method.

H.264 인트라 부호화를 위한 적응적 가중치 양자화 행렬 선택방법 (Adaptive Selection of Weighted Quantization Matrix for H.264 Intra Video Coding)

  • 조재현;조숙희;정세윤;송병철
    • 방송공학회논문지
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    • 제15권5호
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    • pp.672-680
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    • 2010
  • 본 논문은 H.264 동영상 부호화를 위한 적응적인 양자화 행렬 선택방법을 제안한다. 기존의 H.264 양자화 방법은 각 프레임에 동일한 양자화 행렬을 적용하기 때문에 영상의 지역적 특성을 고려하지 못해 코딩 효율이 저하될 수 있다. 이러한 문제점을 개선하고자 프레임 전체에 동일한 양자화 행렬을 적용하는 대신 매크로블록 단위로 블록이 가지는 방향성을 이용해 적응적으로 양자화 행렬을 적용하는 방법을 제안한다. 먼저, 각 블록의 방향성을 공간적으로 인접 블록의 인트라 예측모드 특성을 이용하여 결정한다. 방향성이 존재하는 블록에 대해서는 제안한 방식의 가중치 양자화 행렬을 적용하고, 방향성이 존재하지 않는 블록에 대해서는 기존의 양자화 행렬을 적용한다. 가중치 양자화 행렬은 인트라 예측모드에 따라 블록의 변환 계수의 통계적인 분포를 기반으로 설계되었기 때문에, 예측모드의 특성에 적합하게 양자화된다. 실험 결과를 통해 제안한 알고리즘이 BD rate 측면에서 기존 방법 대비 약 2% 정도의 부호화 효율이 상승됨을 확인할 수 있다.

Robust and Reliable H$\infty$ State-Feedback Control : A Linear Matrix Inequality Approach

  • Kim, Seong-Woo;Kim, Byung-Kook;Seo, Chang-Jun
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권1호
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    • pp.31-39
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    • 2000
  • We present a robust and reliable H$\infty$ state-feedback controller design for linear uncertain systems, which have norm-bounded time-varying uncertainty in the state matrix, and their prespecified sets of actuators are susceptible to failure. These controllers should guarantee robust stability of the systems and H$\infty$ norm bound against parameter uncertainty and/or actuator failures. Based on the linear matrix inequality (LMI) approach, two state-feedback controller design methods are constructed by formulating to a set of LMIs corresponding to all failure cases or a single LMI that covers all failure cases, with an additional costraint. Effectiveness and geometrical property of these controllers are validated via several numerical examples. Furthermore, the proposed LMI frameworks can be applied to multiobjective problems with additional constraints.

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The Development and Characterization of a pH Dependent Matrix Tablet Containing Probiotics

  • Cho, Seong-Wan;Kim, Young-Kwon
    • 대한의생명과학회지
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    • 제22권4호
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    • pp.184-188
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    • 2016
  • The objective of this study was to develop a pH dependent oral matrix tablet containing probiotics. In this study, hydroxyl-propyl-methyl-cellulose (HPMC) and polyvinyl pyrrolidone K30 (PVP K-30) was utilized as a binder, sodium starch glycolate (SSG) was used as a disintegrant material for the tablet formulation. The disintegration test, hardness test, angle of response were performed to examine the characteristics of prepared tablet. Lactobacillus vitality test was applied to analyze the total Lactobacillus viable count. The results demonstrated that the pH dependent matrix tablet was prepared successfully and can thus be industrialized instead of the current methodologies used for preparation of conventional probiotics.

SLANT H-TOEPLITZ OPERATORS ON THE HARDY SPACE

  • Gupta, Anuradha;Singh, Shivam Kumar
    • 대한수학회지
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    • 제56권3호
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    • pp.703-721
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    • 2019
  • The notion of slant H-Toeplitz operator $V_{\phi}$ on the Hardy space $H^2$ is introduced and its characterizations are obtained. It has been shown that an operator on the space $H^2$ is a slant H-Toeplitz if and only if its matrix is a slant H-Toeplitz matrix. In addition, the conditions under which slant Toeplitz and slant Hankel operators become slant H-Toeplitz operators are also obtained.

Expanding Generalized Hadamard Matrices over $G^m$ by Substituting Several Generalized Hadamard Matrices over G

  • No, Jong-Seon;Song, Hong-Yeop
    • Journal of Communications and Networks
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    • 제3권4호
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    • pp.361-364
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    • 2001
  • Over an additive abelian group G of order g and for a given positive integer $\lambda$, a generalized Hadamard matrix GH(g, $\lambda$) is defined as a gλ$\times$gλ matrix[h(i, j)], where 1 $\leq i \leqg\lambda and 1 \leqj \leqg\lambda$, such that every element of G appears exactly $\lambd$atimes in the list h($i_1, 1) -h(i_2, 1), h(i_1, 2)-h(i_2, 2), …, h(i_1, g\lambda) -h(i_2, g\lambda), for any i_1\neqi_2$. In this paper, we propose a new method of expanding a GH(g^m, \lambda_1) = B = [B_{ij}] over G^m$ by replacing each of its m-tuple B_{ij} with B_{ij} + GH(g, $\lambda_2) where m = g\lambda_2. We may use g^m/\lambda_1 (not necessarily all distinct) GH(g, \lambda_2$)s for the substitution and the resulting matrix is defined over the group of order g.

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그룹 G상의 일반화된 하다마드 행렬을 이용한 \ulcorner 상의 일반화된 하다마드 행렬의 확장 (Expanding Generalized Hadamard Matrices over Gm by Using Generalized Hadamard Matrices over G)

  • 노종선
    • 한국통신학회논문지
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    • 제25권10A호
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    • pp.1560-1565
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    • 2000
  • Over an additive abelian group G of order g and for a given positive integer λ, a generalized Hadamard matrix GF(g,λ) is defined as a gλ$\times$gλ matrix [h(i,j)] where 1$\leq$i$\leq$gλ,1$\leq$j$\leq$gλ, such that every element of G appears exactly λ times in the list h(i$_1$,1)-h(i$_2$,1), h(i$_1$,2)-h(i$_2$,2),...,h(i$_1$,gλ)-h(i$_2$, gλ) for any i$\neq$j. In this paper, we propose a new method of expanding a GH(\ulcorner,λ$_1$) = B = \ulcorner over G by replacing each of its m-tuple \ulcorner with \ulcorner GH(g,λ$_2$) where m=gλ$_2$. We may use \ulcornerλ$_1$(not necessarily all distinct) GH(g,λ$_2$)'s for the substitution and the resulting matrix is defined over the group of order g.

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하드웨어 구현에 적합한 효율적인 LDPC 코덱의 설계 (Design of an Efficient LDPC Codec for Hardware Implementation)

  • 이찬호;박재근
    • 대한전자공학회논문지SD
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    • 제43권7호
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    • pp.50-57
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    • 2006
  • Low-density parity check (LDPC) code는 최근 그 우수한 성능으로 인하여 4세대 무선 이동 통신용 채널 코딩으로 주목받고 있고 유럽의 고화질 위성방송 규격으로 채택되었다. 그러나 기존의 연구들이 제안한 parity check matrix (H-matrix)는 실제로 하드웨어로 구현함에 있어서 인코더 혹은 디코더에 제약을 가지고 있다. 이러한 문제점을 해결하고자 본 논문에서는 인코더와 디코더 양쪽 모두 효율적으로 하드웨어로 구현이 가능한 hybrid H-matrix 구조를 제안한다. Hybrid H-matrix는 semi-random 방식과 partly parallel 방식을 결합하여 하드웨어로 구현시 partly parallel 방식이 가지는 디코더의 복잡도가 감소되는 장점을 유지하면서 인코더 또한 semi-random 방식을 사용하여 복잡도가 감소된다. 제안한 구조를 사용하여 LDPC 인코더와 디코더를 설계하고 합성하여 기존의 결과와 비교하였다.

Polymethacrylic Acid 하이드로겔 매트릭스로부터의 pH 의존성 약물 방출 (pH-Dependent Drug Release from Polymethacrylic Acid Hydrogel Matrix)

  • 김경충;김길수;이승진
    • Journal of Pharmaceutical Investigation
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    • 제19권4호
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    • pp.179-183
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    • 1989
  • Drug release experiments were performed based on pH-sensitive swelling behaviors of polymethacrylic acid. 5-Fluorouracil as a nonionic model drug revealed release patterns depending solely on pH-dependent swelling kinetics of polymethacrylic acid. In contrast, release of propranolol hydrochloride as a cationic model drug was significantly affected by ionic drug-polymer interaction as well as the swelling kinetics. Accordingly, a zero-order release pattern was obtained at pH 7, which was distinguished from the general matrix type drug release pattern.

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Receding Horizon $H_{\infty}$ Predictive Control for Linear State-delay Systems

  • Lee, Young-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.2081-2086
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    • 2005
  • This paper proposes the receding horizon $H_{\infty}$ predictive control (RHHPC) for systems with a state-delay. We first proposes a new cost function for a finite horizon dynamic game problem. The proposed cost function includes two terminal weighting terns, each of which is parameterized by a positive definite matrix, called a terminal weighting matrix. Secondly, we derive the RHHPC from the solution to the finite dynamic game problem. Thirdly, we propose an LMI condition under which the saddle point value satisfies the well-known nonincreasing monotonicity. Finally, we shows the asymptotic stability and $H_{\infty}$-norm boundedness of the closed-loop system controlled by the proposed RHHPC. Through a numerical example, we show that the proposed RHHC is stabilizing and satisfies the infinite horizon $H_{\infty}$-norm bound.

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