• 제목/요약/키워드: fixed point technique

검색결과 159건 처리시간 0.024초

Accelerated Tseng's Technique to Solve Cayley Inclusion Problem in Hilbert Spaces

  • Shamshad, Husain;Uqba, Rafat
    • Kyungpook Mathematical Journal
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    • 제62권4호
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    • pp.673-687
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    • 2022
  • In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approximate a common solution to the Cayley inclusion problem and the fixed point problem under some appropriate assumptions. Finally, we present a numerical example that satisfies the problem and shows the computational performance of our suggested technique.

A Rule-based Optimal Placement of Scaling Shifts in Floating-point to Fixed-point Conversion for a Fixed-point Processor

  • Park, Sang-Hyun;Cho, Doo-San;Kim, Tae-Song;Paek, Yun-Heung
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제6권4호
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    • pp.234-239
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    • 2006
  • In the past decade, several tools have been developed to automate the floating-point to fixed-point conversion for DSP systems. In the conversion process, a number of scaling shifts are introduced, and they inevitably alter the original code sequence. Recently, we have observed that a compiler can often be adversely affected by this alteration, and consequently fails to generate efficient machine code for its target processor. In this paper, we present an optimization technique that safely migrates scaling shifts to other places within the code so that the compiler can produce better-quality code. We consider our technique to be safe in that it does not introduce new overflows, yet preserving the original SQNR. The experiments on a commercial fixed-point DSP processor exhibit that our technique is effective enough to achieve tangible improvement on code size and speed for a set of benchmarks.

ON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS OF FENG-LIU TYPE

  • ALTUN, ISHAK;MINAK, GULHAN
    • 대한수학회보
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    • 제52권6호
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    • pp.1901-1910
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    • 2015
  • In the present paper, considering the Jleli and Samet's technique we give many fixed point results for multivalued mappings on complete metric spaces without using the Pompeiu-Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu's result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.

BILINEAR SYSTEMS CONTROLLER DESIGN WITH APPROXIMATION TECHNIQUES

  • Lee, Sang-Hyuk;Lee, Keonhee
    • 충청수학회지
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    • 제18권1호
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    • pp.101-116
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    • 2005
  • Using the iterative method, we derive an controller realization of the bilinear system, which is resulted from the system reformulation. We utilize Banach Fixed Point Theorem to support proposed controller, and the simulation results are also illustrated to verify usefulness of this technique.

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A RANDOM GENERALIZED NONLINEAR IMPLICIT VARIATIONAL-LIKE INCLUSION WITH RANDOM FUZZY MAPPINGS

  • Khan, F.A.;Aljohani, A.S.;Alshehri, M.G.;Ali, J.
    • Nonlinear Functional Analysis and Applications
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    • 제26권4호
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    • pp.717-731
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    • 2021
  • In this paper, we introduce and study a new class of random generalized nonlinear implicit variational-like inclusion with random fuzzy mappings in a real separable Hilbert space and give its fixed point formulation. Using the fixed point formulation and the proximal mapping technique for strongly maximal monotone mapping, we suggest and analyze a random iterative scheme for finding the approximate solution of this class of inclusion. Further, we prove the existence of solution and discuss the convergence analysis of iterative scheme of this class of inclusion. Our results in this paper improve and generalize several known results in the literature.

풍화토 정착 인장형 앵커에서 주면전단거동분석을 위한 다중선형모델 적용 해석기법의 제안 (Suggestion of Analytical Technique Applying Multi-Linear Models for Analysis of Skin Shear Behavior of Tension-Type Ground Anchors in Weathered Soil)

  • 정현식;이영생
    • 한국지반공학회논문집
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    • 제34권11호
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    • pp.5-19
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    • 2018
  • 지반앵커의 정착장에 작용하는 정착응력 분포 특성은 매우 비선형적이며 공학적인 메카니즘이 비교적 복잡하기 때문에 다양한 지반조건 및 비선형적 주면전단거동을 구체적으로 모사하여 지반앵커를 설계하는데 어려움이 크다. 이런 한계로 인하여 현재 대부분의 관련 설계 기준서에는 편의상 정착장 전장에 걸쳐 일정한 주면전단응력분포를 가정하여 설계에 적용하고 있다. 따라서 본 연구에서는 인장형 앵커의 인발거동 특성을 분석하기 위하여 풍화토 지반조건을 대상으로 현장인발시험을 수행하였으며 이를 토대로 앵커 정착장의 주면전단거동을 정립하고, 정착장 거동특성을 비교적 간편하게 예측하기 위한 다중선형모델 및 이를 적용한 해석적 기법을 제안하였다. 현장시험결과와 해석적 결과가 상호 유사하게 나타남에 따라 본 연구에서 제시된 다중선형모델 및 이를 이용한 해석적 기법의 적용성 및 유효성을 확인할 수 있었다. 정착장 주면전단거동의 경우 최대인발하중 보다 작은 하중조건에서는 정착장 시작점에서 최대전단응력이 분포하게 되나 최대인발하중이 발생한 이후부터는 정착장 시작점에서 전단응력이 가장 작게 분포하고, 정착장 시작점으로부터 일정거리 이격된 지점에서 최대전단응력이 발생함을 확인하였다.

A Fixed Rate Speech Coder Based on the Filter Bank Method and the Inflection Point Detection

  • Iem, Byeong-Gwan
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제16권4호
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    • pp.276-280
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    • 2016
  • A fixed rate speech coder based on the filter bank and the non-uniform sampling technique is proposed. The non-uniform sampling is achieved by the detection of inflection points (IPs). A speech block is band passed by the filter bank, and the subband signals are processed by the IP detector, and the detected IP patterns are compared with entries of the IP database. For each subband signal, the address of the closest member of the database and the energy of the IP pattern are transmitted through channel. In the receiver, the decoder recovers the subband signals using the received addresses and the energy information, and reconstructs the speech via the filter bank summation. As results, the coder shows fixed data rate contrary to the existing speech coders based on the non-uniform sampling. Through computer simulation, the usefulness of the proposed technique is confirmed. The signal-to-noise ratio (SNR) performance of the proposed method is comparable to that of the uniform sampled pulse code modulation (PCM) below 20 kbps data rate.

다중 부하중심점에 기반한 온라인 퍼지 ULTC 제어기 설계에 대한 연구 (A Study on the On-Line Fuzzy ULTC Controller Design Based on Multiple Load Center Points)

  • 고윤석
    • 대한전기학회논문지:전력기술부문A
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    • 제55권12호
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    • pp.514-521
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    • 2006
  • The existing ULTC operation control strategy based on the measured data deteriorates the voltage compensation capability making the efficient corresponding to the load variation difficult by following the fixed load center point voltage. Accordingly, this paper proposes a new on-line fuzzy ULTC controller based on the designed multiple load center points which can improve the voltage compensation capability of ULTC and minimize voltage deviation by moving in real-time the load center point according to the load variation to an adequate position among the multiple load center points designed using the clustering technique. The Max-Min distance technique is adopted as the clustering technique for the decision of multiple load points from measured MTr load current and PTr voltage, and the minimum distance classifier is adopted for the decision of fuzzy output membership function. To verify the effectiveness of the proposed strategy, Visual C++ MFC-based simulation environments is developed. Finally, the superiority the proposed strategy is proved by comparing the fuzzy ULTC operation control results based on multiple load center points with the existing ULTC operation control results based on fixed load center point using the data for three day.

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR SECOND-ORDER STURM-LIOUVILLE AND MULTI-POINT PROBLEMS ON TIME SCALES

  • Sang, Yan-Bin;Wei, Zhongli;Dong, Wei
    • 대한수학회보
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    • 제48권5호
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    • pp.1047-1061
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    • 2011
  • In this paper, a class of second-order boundary value problems with Sturm-Liouville boundary conditions or multi-point conditions is considered. Some existence and uniqueness theorems of positive solutions of the problem are obtained by using monotone iterative technique, the iterative sequences yielding approximate solutions are also given. The results are illustrated with an example.