• 제목/요약/키워드: non-uniformly

검색결과 338건 처리시간 0.024초

A TECHNIQUE WITH DIMINISHING AND NON-SUMMABLE STEP-SIZE FOR MONOTONE INCLUSION PROBLEMS IN BANACH SPACES

  • Abubakar Adamu;Dilber Uzun Ozsahin;Abdulkarim Hassan Ibrahim;Pongsakorn Sunthrayuth
    • Nonlinear Functional Analysis and Applications
    • /
    • 제28권4호
    • /
    • pp.1051-1067
    • /
    • 2023
  • In this paper, an algorithm for approximating zeros of sum of three monotone operators is introduced and its convergence properties are studied in the setting of 2-uniformly convex and uniformly smooth Banach spaces. Unlike the existing algorithms whose step-sizes usually depend on the knowledge of the operator norm or Lipschitz constant, a nice feature of the proposed algorithm is the fact that it requires only a diminishing and non-summable step-size to obtain strong convergence of the iterates to a solution of the problem. Finally, the proposed algorithm is implemented in the setting of a classical Banach space to support the theory established.

채널 영역의 불균일 농도를 고려한 MOSFET 문턱전압 모델 (Threshold Voltage Model of the MOSFET for Non-Uniform Doped Channel)

  • 조명석
    • 대한전기학회논문지:전기물성ㆍ응용부문C
    • /
    • 제51권11호
    • /
    • pp.517-525
    • /
    • 2002
  • The channel region of seep-sub-micrometer MOSFET is non-uniformly doped with pocket implant. Therefore, the advanced threshold voltage model is needed to account for the Short-Channel Effect and Reverse-Short-Channel Effect due to the non-uniform doping concentration in the channel region. In this paper, A scalable analytical model for the MOSFET threshold voltage is developed. The developed model is verified with MEDICI and TSUPREM simulator.

A NOTE ON DISCRETE SEMIGROUPS OF BOUNDED LINEAR OPERATORS ON NON-ARCHIMEDEAN BANACH SPACES

  • Blali, Aziz;Amrani, Abdelkhalek El;Ettayb, Jawad
    • 대한수학회논문집
    • /
    • 제37권2호
    • /
    • pp.409-414
    • /
    • 2022
  • Let A ∈ B(X) be a spectral operator on a non-archimedean Banach space over an algebraically closed field. In this note, we give a necessary and sufficient condition on the resolvent of A so that the discrete semigroup consisting of powers of A is uniformly-bounded.

Non-linear time-dependent post-elastic analysis of suspended cable considering creep effect

  • Kmet, S.;Tomko, M.;Brda, J.
    • Structural Engineering and Mechanics
    • /
    • 제22권2호
    • /
    • pp.197-222
    • /
    • 2006
  • In this paper, the non-linear time-dependent closed-form, discrete and combined solutions for the post-elastic response of a geometrically and physically non-linear suspended cable to a uniformly distributed load considering the creep effects, are presented. The time-dependent closed-form method for the particularly straightforward determination of a vertical uniformly distributed load applied over the entire span of a cable and the accompanying deflection at time t corresponding to the elastic limit and/or to the elastic region, post-elastic and failure range of a suspended cable is described. The actual stress-strain properties of steel cables as well as creep of cables and their rheological characteristics are considered. In this solution, applying the Irvine's theory, the direct use of experimental data, such as the actual stress-strain and strain-time properties of high-strength steel cables, is implemented. The results obtained by the closed-form solution, i.e., a load corresponding to the elastic limit, post-elastic and failure range at time t, enable the direct use in the discrete non-linear time-dependent post-elastic analysis of a suspended cable. This initial value of load is necessary for the non-linear time-dependent elastic and post-elastic discrete analysis, concerning incremental and iterative solution strategies with tangent modulus concept. At each time step, the suspended cable is analyzed under the applied load and imposed deformations originated due to creep. This combined time-dependent approach, based on the closed-form solution and on the FEM, allows a prediction of the required load that occurs in the post-elastic region. The application of the described methods and derived equations is illustrated by numerical examples.

이산시간 비 최소현상 시스템의 직지 적응 극배룰 및 안전팡에 관한 연구 (Direct Adaptive Pole-Placement and Stability of Discrete-time Non-minimum Phase Systems)

  • 최종호;최진영
    • 대한전기학회논문지
    • /
    • 제33권5호
    • /
    • pp.193-199
    • /
    • 1984
  • This paper presents a direct adaptive pole placement control scheme which is applicable to discretetime non-minimum phase systems. It is proved that by this scheme the poles can be placed at the desired locations and the overall state vector of the system is uniformly bounded if the reference input is sufficiently rich, and also proved that in case of insufficiently rich reference input the overall system can still be stabilized though the poles may not be placed exactly at the desired locations. The effectiveness of this scheme is verified by digital computer simulations.

  • PDF

WEAK AND STRONG CONVERGENCE OF THREE STEP ITERATION SCHEME WITH ERRORS FOR NON-SELF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Jeong, Jae Ug;Kwun, Young Chel
    • Korean Journal of Mathematics
    • /
    • 제22권2호
    • /
    • pp.235-252
    • /
    • 2014
  • In this paper, weak and strong convergence theorems of three step iteration process with errors are established for two weakly inward and non-self asymptotically nonexpansive mappings in Banach spaces. The results obtained in this paper extend and improve the several recent results in this area.

Approximation of Common Fixed Points of Mean Non-expansive Mapping in Banach Spaces

  • Gu, Zhaohui;Li, Yongjin
    • Kyungpook Mathematical Journal
    • /
    • 제54권1호
    • /
    • pp.103-111
    • /
    • 2014
  • Let X be a uniformly convex Banach space, and S, T be pair of mean nonexpansive mappings. Some necessary and sufficient conditions are given for Ishikawa iterative sequence converge to common fixed points, and we prove that the sequence of Ishikawa iterations associated with S and T converges to the common fixed point of S and T. This generalizes former results proved by Z. Gu and Y. Li [4].

Background Removing for Digital image self-adaptive acquisition in medical X-ray imaging

  • Li, Xun;Kim, Young-Ju;Song, Young-Jun
    • International Journal of Contents
    • /
    • 제4권1호
    • /
    • pp.12-15
    • /
    • 2008
  • In this paper, we propose a new method of background removing for digital self-adaptive acquisition in medical X-ray imaging. We analysis the construction of video digital acquisition system and main factors of acquired image quality, propose a more efficiency method to against background non-uniformly. With proposed method, non-uniform illumination back ground was well removed without image quality degradation.