• 제목/요약/키워드: Generalized Inverse

검색결과 189건 처리시간 0.023초

ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS

  • Cho, Sun-Young;Kang, Shin-Min;Qin, Xiaolong
    • 대한수학회논문집
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    • 제26권1호
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    • pp.51-65
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    • 2011
  • In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common xed point of a pair of nonexpansive mappings.

SINGULAR CASE OF GENERALIZED FIBONACCI AND LUCAS MATRICES

  • Miladinovic, Marko;Stanimirovic, Predrag
    • 대한수학회지
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    • 제48권1호
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    • pp.33-48
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    • 2011
  • The notion of the generalized Fibonacci matrix $\mathcal{F}_n^{(a,b,s)}$ of type s, whose nonzero elements are generalized Fibonacci numbers, is introduced in the paper [23]. Regular case s = 0 is investigated in [23]. In the present article we consider singular case s = -1. Pseudoinverse of the generalized Fibonacci matrix $\mathcal{F}_n^{(a,b,-1)}$ is derived. Correlations between the matrix $\mathcal{F}_n^{(a,b,-1)}$ and the Pascal matrices are considered. Some combinatorial identities involving generalized Fibonacci numbers are derived. A class of test matrices for computing the Moore-Penrose inverse is presented in the last section.

Inverse Dynamic Analysis of Flexible Multibody Systems with Closed-Loops

  • Lee, Byung-Hoon;Lee, Shi-Bok;Jeong, Weui-Bong;Yoo, Wan-Suk;Yang, Jin-Saeng
    • Journal of Mechanical Science and Technology
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    • 제15권6호
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    • pp.693-698
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    • 2001
  • The analysis of actuating forces (or torques) and joint reaction forces (or moments) are essential to determine the capacity of actuators, to control the system and to design the components. This paper presents an inverse dynamic analysis algorithm for flexible multibody systems with closed-loops in the relative joint coordinate space. The joint reaction forces are analyzed in Cartesian coordinate space using the inverse velocity transformation technique. The joint coordinates and the deformation modal coordinates are used as the generalized coordinates of a flexible multibody system. The algorithm is verified through the analysis of a slider-crank mechanism.

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GENERALIZED FOURIER-FEYNMAN TRANSFORM AND SEQUENTIAL TRANSFORMS ON FUNCTION SPACE

  • Choi, Jae-Gil;Chang, Seung-Jun
    • 대한수학회지
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    • 제49권5호
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    • pp.1065-1082
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    • 2012
  • In this paper we first investigate the existence of the generalized Fourier-Feynman transform of the functional F given by $$F(x)={\hat{\nu}}((e_1,x)^{\sim},{\ldots},(e_n,x)^{\sim})$$, where $(e,x)^{\sim}$ denotes the Paley-Wiener-Zygmund stochastic integral with $x$ in a very general function space $C_{a,b}[0,T]$ and $\hat{\nu}$ is the Fourier transform of complex measure ${\nu}$ on $B({\mathbb{R}}^n)$ with finite total variation. We then define two sequential transforms. Finally, we establish that the one is to identify the generalized Fourier-Feynman transform and the another transform acts like an inverse generalized Fourier-Feynman transform.

상대전달함수의 역필터링을 이용한 자동차 환경에서의 마이크로폰 어레이 빔형성 기법 (A Microphone Array Beamforming Algorithm with Inverse Filtering of Relative Transfer Functions in Car Environments)

  • 강홍구;황영수;윤대희;한철희
    • 한국음향학회지
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    • 제25권1호
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    • pp.30-35
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    • 2006
  • 본 논문에서는 상대전달함수의 역필터링 (inverse-filtering) 전처리를 수행한 후 MVDR (Minimum-Variance Distortionless Response) 빔형성기나 GSC (Generalized Sidelobe Canceller)를 수행하는 방법을 제안하였다. 제안된 방법은 기존의 RTF-MVDR 및 TF-GSC 보다 적은 계산량을 갖으며 최적해 측면에서 동등함을 보였다. 제안된 방법의 성능을 평가하기 위하여 자동차 환경에서 녹음된 음성 데이터베이스와 HTK를 이용하여 음성인식 실험을 수행하였다. 그 결과, 제안된 방법은 기존의 방법과 대등한 성능을 갖거나 적은 성능저하를 보였다.