• Title/Summary/Keyword: XIA

Search Result 951, Processing Time 0.03 seconds

AN ABS ALGORITHM FOR SOLVING SINGULAR NONLINEAR SYSTEMS WITH RANK DEFECTS

  • Ge, Rendong;Xia, Zun-Quan
    • Journal of applied mathematics & informatics
    • /
    • v.12 no.1_2
    • /
    • pp.1-20
    • /
    • 2003

  • A modified ABS algorithm for solving a class of singular non-linear systems, $F(x) = 0, $F\;\in \;R^n$, constructed by combining the discreted ABS algorithm and a method of Hoy and Schwetlick (1990), is presented. The second differential operation of F at a point is not required to be calculated directly in this algorithm. Q-quadratic convergence of this algorithm is given.

An Efficient and Concise Synthesis of Biologically Interesting Natural Flemichapparin A, Flemingin A, Flemingin D, and Their Non-natural Analogues

  • Lee, Yong-Rok;Xia, Likai
    • Bulletin of the Korean Chemical Society
    • /
    • v.28 no.9
    • /
    • pp.1579-1584
    • /
    • 2007

  • The efficient and concise synthesis of natural and non-natural pyranochalcones was achieved from readily available 2,4,5-trihydroxyacetophenone. The key steps in the synthetic strategy were ethylenediamine diacetate-catalyzed benzopyran formation and aldol reactions.

  • https://doi.org/10.5012/bkcs.2007.28.9.1579 인용 PDF KSCI

AN ABS ALGORITHM FOR SOLVING SINGULAR NONLINEAR SYSTEMS WITH RANK ONE DEFECT

  • Ge, Ren-Dong;Xia, Zun-Quan
    • Journal of applied mathematics & informatics
    • /
    • v.9 no.1
    • /
    • pp.167-183
    • /
    • 2002

  • A modified discretization ABS algorithm for solving a class of singular nonlinear systems, F($\chi$)=0, where $\chi$, F $\in$ $R^n$, is presented, constructed by combining a discretization ABS algorithm arid a method of Hoy and Schwetlick (1990). The second order differential operation of F at a point is not required to be calculated directly in this algorithm. Q-quadratic convergence of this algorithm is given.

ON A SECOND ORDER PARALLEL VARIABLE TRANSFORMATION APPROACH

  • Pang, Li-Ping;Xia, Zun-Quan;Zhang, Li-Wei
    • Journal of applied mathematics & informatics
    • /
    • v.11 no.1_2
    • /
    • pp.201-213
    • /
    • 2003

  • In this paper we present a second order PVT (parallel variable transformation) algorithm converging to second order stationary points for minimizing smooth functions, based on the first order PVT algorithm due to Fukushima (1998). The corresponding stopping criterion, descent condition and descent step for the second order PVT algorithm are given.