• Title/Summary/Keyword: computational mathematics

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SOME CUBIC JULIA SETS

  • Lee, Hung-Hwan;Baek, Hun-Ki
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.31-38
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    • 1997
  • We figure out geometric properties of the Julia set $J_{\alpha}$ of cubic complex polynomial $C_{\alpha}(z)=z^3 + {\alpha}z(\alpha \epsilon \mathbb{C})$ and the smallest ellipse which surrounds $J_{\alpha}$.

ON TL-SUBSYSTEMS OF TL-FINITE STATE MACHINES

  • Cho, Sung-Jin;Kim, Jae-Gyeom;Kim, Seok-Tae
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.117-134
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    • 1997
  • In this paper we introduce the notions of TL-subsystems strong TL-subsystems and discuss their basic properties.

GENERALIZED STATIONARY ITERATIVE METHOD FOR SOLVING LINEAR SYSTEMS

  • Yun, Jae-Heon;Kim, Sang-Wook
    • Journal of applied mathematics & informatics
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    • v.5 no.2
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    • pp.383-392
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    • 1998
  • This paper proposes Generalized Stationary Iterative called GSI method. It is shown that the existing stationary iterative methods are special cases of GSI method. Convergence properties of this method are provided and their numerical experiments for linear systems with symmetric positive definite matrix are also provided.

ON A NEW EXISTENCE OF EQUILIBRIUM IN SSC

  • Kim, Won-Kyu;Yuan, George-Xian-Zhi
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.607-614
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    • 1998
  • In this note we shall give a new existence theorem of equilibrium in social systems with coordination under general assump-tions by using the Kakutani fixed point theorem.

A NEW CONGRUENCE RELATION ON LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae;Song, Seok-Zun
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.385-392
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    • 2003
  • Using a fuzzy filter, a new congruence relation induced by the fuzzy filter is given in lattice implication algebras, and some of their properties are investigated.

DUALITY FOR MULTIOBJECTIVE FRACTIONAL CONTROL PROBLEMS WITH GENERALIZED INVEXITY

  • Nahak, C.;Nanda, S.
    • Journal of applied mathematics & informatics
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    • v.5 no.2
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    • pp.475-488
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    • 1998
  • Wolfe and Mond-Weir type duals for multiobjective con-trol problems are formulated. Under pseudo-invexity/quasi-invexity assumptions of the functions involved, weak and strong duality the-orems are proved to relate efficient solutions of the primal and dual problems.

FUZZY n-FOLD POSITIVE IMPLICATIVE FILTERS IN LATTICE IMPLICATION ALGEBRAS

  • Jin, Young-Bae;Song, Seok-Zun
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.153-163
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    • 2003
  • The fuzzification of a positive implicative filter is considered, and some of properties are investigated. The relation among fussy filter, fuzzy n-fold implicative filter, and fuzzy n-fold positive implication filter is discussed.