Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (zk): 658-662.
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ZHAO Xin-Quan
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Abstract:
OnL2[a,b], thesteepestdescentsolution ,forFredholmintegralequationsKx= f and(I-λK)x=f,arestudied.UnderthecondictionofK and(I-λK)beingcon verse,wegetthesequenceofthesteepestdescentsolutionandprovethissequenceconverging to the exactsolutionandgiveouttheestimationoferror.
Key words: Fredholmintegralequation, Thesteepestdescentsolutionsequence, Conver gence, Estimationoferror.
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ZHAO Xin-Quan. The steepest descent solution for Fredholm integral equation[J].Acta mathematica scientia,Series A, 2000, 20(zk): 658-662.
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