• 제목/요약/키워드: convergence in the modified sense

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WEAK AND STRONG CONVERGENCE CRITERIA OF MODIFIED NOOR ITERATIONS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE

  • Banerjee, Shrabani;Choudhury, Binayak Samadder
    • 대한수학회보
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    • 제44권3호
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    • pp.493-506
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    • 2007
  • In this paper weak and strong convergence theorems of modified Noor iterations to fixed points for asymptotically nonexpansive mappings in the intermediate sense in Banach spaces are established. In one theorem where we establish strong convergence we assume an additional property of the operator whereas in another theorem where we establish weak convergence assume an additional property of the space.

SOME EQUALITIES FOR CONTINUED FRACTIONS OF GENERALIZED ROGERS-RAMANUJAN TYPE

  • Li, Yongqun;Wang, Xiantao
    • 대한수학회지
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    • 제48권5호
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    • pp.887-898
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    • 2011
  • In this paper, we first discuss the convergence of the continued fractions of generalized Rogers-Ramanujan type in the modified sense. Then we prove several equalities concerning these continued fractions. The proofs of our main results are mainly based on the Bauer-Muir transformation.

변형 비적 적응 필터의 수렴 특성 개선에 관한 연구 (A Study on the Convergence Characteristics Improvement of the Modified-Multiplication Free Adaptive Filer)

  • 김건호;윤달환;임제탁
    • 한국통신학회논문지
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    • 제18권6호
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    • pp.815-823
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    • 1993
  • 본 논문에서는 곱셈연산이 필요치 안은 변형 비적 적응필터(MMADF : Modified Multiplication-free adaptive Filter) 알고리즘을 제안하고 수렴특성을 해석하였다. 제안한 구조는 DPCM(Differential Pulse Code Modulation)과 Sign 알고리듬을 이용한 MADF 구조에서 1차 필터를 첨가한 구조이다. 해석방법은 계수 비정렬벡터와 그 자기상관행렬의 수렴을 유도하였다. 수렴특성을 평가하기 위하여 분할등기(FSE : Fractionally Spaced Equallizer)에 적용하였으며, Sign 알고리듬, MADF 알고리듬, MMADF 알고리듬을 사용하여 정상상태오차와 수렴속도로 특성을 비교평가 하였다. MMADF 알고리듬을 FSE에 적용한 결과 안정된 수렴특성을 나타내었으며, 동일한 정상상태오차를 갖는 조건에서 시뮬레이션한 결과 기존의 Sign 및 MADF 알고리듬에 비해 신호특성 및 수렴속도가 개선 되었다.

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Strong Convergence of Modified Iteration Processes for Relatively Weak Nonexpansive Mappings

  • Boonchari, Daruni;Saejung, Satit
    • Kyungpook Mathematical Journal
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    • 제52권4호
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    • pp.433-441
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    • 2012
  • We adapt the concept of shrinking projection method of Takahashi et al. [J. Math. Anal. Appl. 341(2008), 276-286] to the iteration scheme studied by Kim and Lee [Kyungpook Math. J. 48(2008), 685-703] for two relatively weak nonexpansive mappings. By letting one of the two mappings be the identity mapping, we also obtain strong convergence theorems for a single mapping with two types of computational errors. Finally, we improve Kim and Lee's convergence theorem in the sense that the same conclusion still holds without the uniform continuity of mappings as was the case in their result.

COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A MODIFIED FASTER ITERATION SCHEME

  • Khan, Safeer Hussain;Kim, Jong-Kyu
    • 대한수학회보
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    • 제47권5호
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    • pp.973-985
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    • 2010
  • We introduce an iteration scheme for approximating common fixed points of two mappings. On one hand, it extends a scheme due to Agarwal et al. [2] to the case of two mappings while on the other hand, it is faster than both the Ishikawa type scheme and the one studied by Yao and Chen [18] for the purpose in some sense. Using this scheme, we prove some weak and strong convergence results for approximating common fixed points of two nonexpansive self mappings. We also outline the proofs of these results to the case of nonexpansive nonself mappings.

인공 광원을 이용한 실내 조명 효과에 대한 기초 실험 연구 (Basic Experimental Study on Room Lighting Effects using Artificial Light Source)

  • 김정배
    • 융복합기술연구소 논문집
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    • 제1권1호
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    • pp.29-33
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    • 2011
  • This study is performed to investigate the effect of the artificial light for room lightening. To do that, the experiments were done using the black room with 1m3 and performed to show the effect of the length between the room and light source and light intensities as LUX. The LUX of 18 sites in the room was measured using LUX meter. The length between the room and the light source was chosen as 500mm, 1000mm, and 1500mm and the light intensities was 3 levels. The results were shown the distinct difference between the part directly projected through the light path and non-directly projected. So, the light delivery path have to be modified for next step research. The results were very sensitive for the part directly projected through the light path. This study showed the basic results for room lightening using light source to simulate the solar lightening and was worth in a strict sense as fundamental study.

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Orthogonalization principle for hybrid control of robot arms under geometric constraint

  • Arimoto, Suguru
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.1-6
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    • 1992
  • A principle of "orthogonalization" is proposed as an extended notion of hybrid (force and position) control for robot manipulators under geometric endpoint constraints. The principle realizes the hybrid control in a strict sense by letting position and velocity feedback signals be orthogonal in joint space to the contact force vector whose components are exerted at corresponding joints. This orthogonalization is executed via a projection matrix computed in real-time from a gradient of the equation of the surface in joint coordinates and hence both projected position and velocity feedback signals become perpendicular to the force vector that is normal to the surface at the contact point in joint space. To show the important role of the principle in control of robot manipulators, three basic problems are analyzed, the first is a hybrid trajectory tracking problem by means of a "modified hybrid computed torque method", the second is a model-based adaptive control problem for robot manipulators under geometric endpoint constraints, and the third is an iterative learning control problem. It is shown that the passivity of residual error dynamics of robots follows from the orthogonalization principle and it plays a crucial role in convergence properties of both positional and force error signals.force error signals.

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Sense Hardware Backup Algorism of 3D Game Engine

  • Aamisepp, Henrik;Nilsson, Daniel
    • 한국정보컨버전스학회:학술대회논문집
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    • 한국정보컨버전스학회 2008년도 International conference on information convergence
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    • pp.125-128
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    • 2008
  • The aim this master thesis is to find out if is possible to Integrate haptic hardware support in the source 3D game engine Crystal Space. Integrating haptic support would make it possible to get a haptic representation of 3D geometry in Crystal Space and therefore take advantage of all the benefits a 3D game engine provides, when building haptic applications, An implementation of the support should be as low-cost as Possible by taking advantage of available source haptic API alternatives. The thesis report presents an evaluation of available haptic APIs and comes up with a design and an implementation. The solution has been implemented as a Crystal Space plugin by using modified parts of the e-Touch open module API. The plugin makes it possible to utilize the Phantom haptic device to touch and feel the 3D environments in a Crystal Space application. Two demo applications have also been constructed to show the capabilities of the plugin.

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Cyclo-static 스케줄러를 이용한 재귀형 LMS Filter의 VLSI 구조 (VLSI Architecture of a Recursive LMS Filter Based on a Cyclo-static Scheduler)

  • 김형교
    • 융합신호처리학회논문지
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    • 제8권1호
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    • pp.73-77
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    • 2007
  • 본 논문에서는 적응 필터링 분야에서 널리 쓰이고 있는 재귀형 LMS 필터의 고속연산을 위해 Cyclo-static 스케줄러를 이용하여 VLSI구현에 적합한 구조를 제안한다. 이과정은 크게 스케줄 생성 단계와 회로도 생성 단계로 구성되는데, 스케줄 생성단계는 입력으로서 Fully Specified Flow Graph(FSFG)로 표현된 재귀 DSP 알고리듬을 취하여 입력의 샘플링속도, 프로세서의 수, 그리고 주어진 입력에 대한 출력의 지연에 있어 최적인 Cyclo-static 스케줄러를 생성하여 각 프로세서간의 연결선이 최소가 되도록 스케줄을 변환한다. 회로도 생성 단계에서는 이 변환된 스케줄러로부터 미리 정의된 두 가지 형태의 프로세서 구조를 이용하여 그것을 구성하고 있는 레지스터 및 멀티플렉서의 할당을 행하고 제어신호를 포함한 완전한 회로도를 생성한다, 이렇게 생성된 회로도는 기존의 실리콘 컴파일러를 이용하여 VLSI 레이아웃으로 용이하게 변환 될 수 있다.

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