PDF-SIAMJ.N2007SocietyforIndustrialandAppliedMathematicsVol.45,No.1,pp.83
Author : cheryl-pisano | Published Date : 2015-11-09
ReceivedbytheeditorsMarch172005acceptedforpublicationinrevisedformJuly62006publishedelectronicallyJanuary122007httpwwwsiamorgjournalssinum45162708html JQIANYTZHANGANDHKZHAO
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SIAMJ.N2007SocietyforIndustrialandAppliedMathematicsVol.45,No.1,pp.83: Transcript
ReceivedbytheeditorsMarch172005acceptedforpublicationinrevisedformJuly62006publishedelectronicallyJanuary122007httpwwwsiamorgjournalssinum45162708html JQIANYTZHANGANDHKZHAO. Abstract. 1.Introductionandmotivations.Thelast12yearshavewitnessedmanycontributionstotheinpaintingproblemindigitalimages,i.e.,theproblemofrecoveringentireregions 1144F.CAO,Y.GOUSSEAU,S.MASNOU,ANDP.PER ReceivedbytheeditorsAugust8,2002;acceptedforpublication(inrevisedform)January7, AUTHORITYRANKINGSFROMHITS,PAGERANK,ANDSALSAInsection3,wereviewthePerron Abstract. 1.Introduction.Wediscussprimal-dualsplittingmethodsforconvexoptimizationprob-lemsoftheform(1)minimizewhereand ReceivedbytheeditorsNovember26,2013;acceptedforpublication(inrevisedform)May30,2 324DONALDE.KNUTH,J/t.IVIESH.MORRIS,JR.ANDVAUGHANR.PRATI'Weshallfirstconsiderthealgorithminaconceptuallysimplebutsomewhatinefficientform.Sections3and4ofthispaperdiscusssomewaystoimprovetheefficiencyand A.J.RADCLIFFE,A.D.SCOTT,ANDE.L.WILMERofauthorshavegivenapproximationalgorithms:KececiogluandSanko[23]gavea2-approximationalgorithm,BafnaandPevzner[2]gavea1.75-approximationalgorithm,Christie[8]gavea1 ReceivedbytheeditorsOctober19,2008;acceptedforpublication(inrevisedform)June8, ULTIMATELYFASTACCURATESUMMATION(4)LinearProgramming.Theclassicalsimplexalgorithmreliesonthedecisionofthesignofsomereduced 708GIRARDMEURANTprovedthattheinverseistridiagonal(thisisAsplund'sresult)andconversely.In1973,BukhbergerandEmel'yanenko[11]gaveformulasbasedonCholeskyfactorizationfortheinverseofasymmetrictridiagonalma HOWFASTARENONSYMMETRICMATRIXITERATIONS?779TABLEIterativemethodsfornonsymmetricsystemsAxb.(Thedifferencesamongthesealgorithmsareslightinsomecases.)Theterminologyap-proximatelyfollowsElman[6]andGutknech 324DONALDE.KNUTH,J/t.IVIESH.MORRIS,JR.ANDVAUGHANR.PRATI'Weshallfirstconsiderthealgorithminaconceptuallysimplebutsomewhatinefficientform.Sections3and4ofthispaperdiscusssomewaystoimprovetheefficiencyand 1002U.FEIGE,RRAGHAVAN,D.PELEG,ANDE.UPFAL"Xi"Xj,"andgivesthewronganswerwithsomeprobability.Eachleafislabeledwithapermutationrepresentingthesortedorderfortheinput(forsortingandmerging)oranindexin[1,N](f REPRESENTATIONSOFLANGUAGES115Indeedacloseinspectionoftheoriginalproof[6]revealsthatitdoesnotholdwhenwerepresentdeterministiccontext-freelanguagesbydeterministicpushdownautomataandpushdownautomatawitha MARKOVDECISIONPROBLEMS,STATE-ACTIONFREQUENCIES787visitstOstatex.Belowweshowthatthepathwiselimitsofthese"conditionalfrequen-cies"arethemorebasicquantity,inthattheydeterminetheexpectedstateactionfrequen ODEDGOLDREICH,SHAFIGOLDWASSER,ANDASAFNUSSBOIMcodesgeneratedassuggestedabovemayhavesmalldistance.So,canweecientlygeneraterandom-lookingcodesoflargedistance?Specif-ically,canweprovideaprobabilisticpo 2(x+2)2x"1 4"x2+"4 4"x"1 2(2x)"x2InFigure6weshowtheinterpolationofdegree6ofthesolutionu"correspondingto"=0.5withthepoint0notrepeated,repeatedonceandtwice,re
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