<?xml version="1.0" encoding="UTF-8"?>
<collection xmlns="http://www.loc.gov/MARC21/slim">
 <record>
  <leader>     caa a22        4500</leader>
  <controlfield tag="001">477074812</controlfield>
  <controlfield tag="003">CHVBK</controlfield>
  <controlfield tag="005">20180405111436.0</controlfield>
  <controlfield tag="007">cr unu---uuuuu</controlfield>
  <controlfield tag="008">170330e19961201xx      s     000 0 eng  </controlfield>
  <datafield tag="024" ind1="7" ind2="0">
   <subfield code="a">10.1007/BF02900875</subfield>
   <subfield code="2">doi</subfield>
  </datafield>
  <datafield tag="035" ind1=" " ind2=" ">
   <subfield code="a">(NATIONALLICENCE)springer-10.1007/BF02900875</subfield>
  </datafield>
  <datafield tag="245" ind1="0" ind2="4">
   <subfield code="a">The model of asynchronous parallel nonlinear multisplitting method on shared memory system</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[Yang Cao, Qingyang Li]</subfield>
  </datafield>
  <datafield tag="520" ind1="3" ind2=" ">
   <subfield code="a">Nonlinear multisplitting method is known as parallel iterative methods for solving a large-scale system of nonlinear equationsF(x)=0. We extend the idea of nonlinear multisplitting and consider a new model in which the iteration is executed asynchronously: Each processor calculate the solution of an individual nonlinear system belong to its nonlinear multisplitting and can update the global approximation residing in the shared memory at any time. A local convergence analysis of this model is presented. Finally, we give a numerical example which shows a ‘strange' property that speedupS p&gt;p and efficiencyE p&gt;1.</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
   <subfield code="a">Springer, 1996</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Asynchronous Parallel Nonlinear Multisplitting Method</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Shared Memory processors</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Efficiency</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Speedup</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Cao</subfield>
   <subfield code="D">Yang</subfield>
   <subfield code="u">Dept. of Applied Mathematics, Tsinghua University, 100084, Beijing, P. R. of China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="700" ind1="1" ind2=" ">
   <subfield code="a">Li</subfield>
   <subfield code="D">Qingyang</subfield>
   <subfield code="u">Dept. of Applied Mathematics, Tsinghua University, 100084, Beijing, P. R. of China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">Wuhan University Journal of Natural Sciences</subfield>
   <subfield code="d">Wuhan University</subfield>
   <subfield code="g">1/3-4(1996-12-01), 483-489</subfield>
   <subfield code="x">1007-1202</subfield>
   <subfield code="q">1:3-4&lt;483</subfield>
   <subfield code="1">1996</subfield>
   <subfield code="2">1</subfield>
   <subfield code="o">11859</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2="0">
   <subfield code="u">https://doi.org/10.1007/BF02900875</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="908" ind1=" " ind2=" ">
   <subfield code="D">1</subfield>
   <subfield code="a">research-article</subfield>
   <subfield code="2">jats</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">856</subfield>
   <subfield code="E">40</subfield>
   <subfield code="u">https://doi.org/10.1007/BF02900875</subfield>
   <subfield code="q">text/html</subfield>
   <subfield code="z">Onlinezugriff via DOI</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Cao</subfield>
   <subfield code="D">Yang</subfield>
   <subfield code="u">Dept. of Applied Mathematics, Tsinghua University, 100084, Beijing, P. R. of China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">700</subfield>
   <subfield code="E">1-</subfield>
   <subfield code="a">Li</subfield>
   <subfield code="D">Qingyang</subfield>
   <subfield code="u">Dept. of Applied Mathematics, Tsinghua University, 100084, Beijing, P. R. of China</subfield>
   <subfield code="4">aut</subfield>
  </datafield>
  <datafield tag="950" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="P">773</subfield>
   <subfield code="E">0-</subfield>
   <subfield code="t">Wuhan University Journal of Natural Sciences</subfield>
   <subfield code="d">Wuhan University</subfield>
   <subfield code="g">1/3-4(1996-12-01), 483-489</subfield>
   <subfield code="x">1007-1202</subfield>
   <subfield code="q">1:3-4&lt;483</subfield>
   <subfield code="1">1996</subfield>
   <subfield code="2">1</subfield>
   <subfield code="o">11859</subfield>
  </datafield>
  <datafield tag="900" ind1=" " ind2="7">
   <subfield code="a">Metadata rights reserved</subfield>
   <subfield code="b">Springer special CC-BY-NC licence</subfield>
   <subfield code="2">nationallicence</subfield>
  </datafield>
  <datafield tag="898" ind1=" " ind2=" ">
   <subfield code="a">BK010053</subfield>
   <subfield code="b">XK010053</subfield>
   <subfield code="c">XK010000</subfield>
  </datafield>
  <datafield tag="949" ind1=" " ind2=" ">
   <subfield code="B">NATIONALLICENCE</subfield>
   <subfield code="F">NATIONALLICENCE</subfield>
   <subfield code="b">NL-springer</subfield>
  </datafield>
 </record>
</collection>
