• Title/Summary/Keyword: Iterative scheme

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A GENERAL ITERATIVE METHOD BASED ON THE HYBRID STEEPEST DESCENT SCHEME FOR VARIATIONAL INCLUSIONS, EQUILIBRIUM PROBLEMS

  • Tian, Ming;Lan, Yun Di
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.603-619
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    • 2011
  • To the best of our knowledge, it would probably be the first time in the literature that we clarify the relationship between Yamada's method and viscosity iteration correctly. We design iterative methods based on the hybrid steepest descent algorithms for solving variational inclusions, equilibrium problems. Our results unify, extend and improve the corresponding results given by many others.

An experimental study on parallel implementation of an iterative method for large scale, sparse linear system (반복기법을 이용한 대규모, 소선형시스템의 병렬처리에 관한 연구)

  • 김상원;장수영
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1991.10a
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    • pp.6-22
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    • 1991
  • This thesis presents a parallel implementation of an iterative method for large scale, sparse linear system and gives result of computational experiments performed on both single transputer and multi transputer parallel computers. To solve linear system, we use conjugate gradient method and develope data storage techinique, data communication scheme. In addition to the explanation of conjugate gradient method, the result of computational experiment is summarized.

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CONVERGENCE THEOREMS OF MULTI-STEP ITERATIVE SCHEMES WITH ERRORS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE NONSELF MAPPINGS

  • Kim, Jong-Kyu;Saluja, G.S.;Nashine, H.K.
    • East Asian mathematical journal
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    • v.26 no.1
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    • pp.81-93
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    • 2010
  • In this paper, a strong convergence theorem of multi-step iterative schemes with errors for asymptotically quasi-nonexpansive type nonself mappings is established in a real uniformly convex Banach space. Our results extend the corresponding results of Wangkeeree [12], Xu and Noor [13], Kim et al.[1,6,7] and many others.

AN ITERATIVE METHOD FOR SOLVING EQUILIBRIUM PROBLEM FIXED POINT PROBLEM AND GENERALIZED VARIATIONAL INEQUALITIES PROBLEM

  • Zhang, Lijuan;Li, Juchun
    • East Asian mathematical journal
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    • v.27 no.5
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    • pp.527-538
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    • 2011
  • In this paper, we introduce a new iterative scheme for finding a common element of the set of an equilibrium problem, the set of fixed points of nonexpansive mapping and the set of solutions of the generalized variational inequality for ${\alpha}$-inverse strongly g-monotone mapping in a Hilbert space. Under suitable conditions, strong convergence theorems for approximating a common element of the above three sets are obtained.

Fast Solution of Linear Systems by Wavelet Transform

  • Park, Chang-Je;Cho, Nam-Zin
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.282-287
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    • 1996
  • We. develop in this study a wavelet transform method to apply to the flux reconstruction problem in reactor analysis. When we reconstruct pinwise heterogeneous flux by iterative methods, a difficulty arises due to the near singularity of the matrix as the mesh size becomes finer. Here we suggest a wavelet transform to tower the spectral radius of the near singular matrix and thus to converge by a standard iterative scheme. We find that the spectral radios becomes smatter than one after the wavelet transform is performed on sample problems.

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ON GENERALIZED NONLINEAR QUASIVARIATIONAL INEQUALITIES

  • Li, Jin-Song;Kang, Shin-Min
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.141-146
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    • 2009
  • In this paper, we introduce a new generalized nonlinear quasivariational inequality and establish its equivalence with a xed point problem by using the resolvent operator technique. Utilizing this equivalence, we suggest two iterative schemes, prove two existence theorems of solutions for the generalized nonlinear quasivariational inequality involving generalized cocoercive mapping and establish some convergence results of the sequences generated by the algorithms. Our results include several previously known results as special cases.

An application of the CMAC to robot control

  • Nam, Kwang-Hee;Kuc, Tae-Yong
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.999-1005
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    • 1988
  • An iterative learning control scheme is presented with the aid of CMAC module. By enforcing the role of linear controller with the introduction of velocity feedback, it becomes possible to make the trajectory error equation stable. One advantage of this control scheme is that it does not require acceleration feedback. Computer simulation results shows a good performance of the scheme even in the case where the gravity is not compensated.

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Joint Processing of Zero-Forcing Detection and MAP Decoding for a MIMO-OFDM System

  • Sohn, In-Soo;Ahn, Jae-Young
    • ETRI Journal
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    • v.26 no.5
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    • pp.384-390
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    • 2004
  • We propose a new bandwidth-efficient technique that achieves high data rates over a wideband wireless channel. This new scheme is targeted for a multiple-input multiple- output orthogonal frequency-division multiplexing (MIMO-OFDM) system that achieves transmit diversity through a space frequency block code and capacity enhancement through the iterative joint processing of zero-forcing detection and maximum a posteriori (MAP) decoding. Furthermore, the proposed scheme is compared to the coded Bell Labs Layered Space-Time OFDM (BLAST-OFDM) scheme.

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Adaptive fuzzy learning control for a class of second order nonlinear dynamic systems

  • Park, B.H.;Lee, Jin S.
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.103-106
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    • 1996
  • This paper presents an iterative fuzzy learning control scheme which is applicable to a broad class of nonlinear systems. The control scheme achieves system stability and boundedness by using the linear feedback plus adaptive fuzzy controller and achieves precise tracking by using the iterative learning rules. The switching mode control unit is added to the adaptive fuzzy controller in order to compensate for the error that has been inevitably introduced from the fuzzy approximation of the nonlinear part. It also obviates any supervisory control action in the adaptive fuzzy controller which normally requires high gain signal. The learning control algorithm obviates any output derivative terms which are vulnerable to noise.

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A numerical method for dynamic analysis of cam-follower mechanism including impact, separation and elastic deformation (충격분리 및 탄성변형을 포함한 캠-종동절 기구의 동역학적 해석을 위한 수치해석적 방법)

  • Lee, Gi-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.3
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    • pp.519-528
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    • 1998
  • A numerical method is presented for the dynamic analysis of cam and follower. Contact and separation between the cam and the follower are analyzed by imposing dynamic contact condition. The correct solution is obtained without spurious oscillation by imposing the velocity and acceleration constraints as well as the displacement constraint on the possible contact point. The constraints are satisfied by iteratively reducing the constraint errors toward zero, and a simple time integration of ordinary differential equation is employed for the solution of the equation of motion. The solution procedure associated with the iterative scheme is presented, and numerical simulations are conducted to demonstrate the accuracy of the solution.