解可分離結(jié)構(gòu)變分不等式的投影收縮交替方向法.pdf

1、南開大學(xué)碩士學(xué)位論文解可分離結(jié)構(gòu)變分不等式的投影收縮交替方向法姓名：萬里申請學(xué)位級別：碩士專業(yè)：計算數(shù)學(xué)指導(dǎo)教師：楊慶之201205AbstractAbstractThealternatingdirectionmethodsareattractiveforsolvingseparablevariationalinequalityproblems，whichsolvetheoriginallargescaleproblemsviasolv

2、ingaseriesofsmall—scaleproblemsHoweverthesubproblemssolvedperiterationarestillvariationalinequalityproblems，whicharestructurallyasdifficulttosolveastheoriginalproblemsInthispaperweproposeaseriesofprojectionandcontraction

3、alternat=ingdirectionmethods，which，periteration，solvesomeprojectionproblemandavoidsolvingthesubproblemsofvariationalinequalityproblemsAstheseriesofmethods，inthispaperweproposethreenewarithmeticsUnderthesamemildassumption

4、asthoseinclassicalalternatingdirectionmethods，weproveglobalconvergenceofthenewmethodsWealsopresentsomepreliminarynumericalresults，whichshowthatourmethodsaresu銜cientKeyWords：variationalinequalityalternatingdirectionmethod