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9、esCandidateTuoQingSupervisorProf.JianzhouLiuCollegeMathematicsandComputationalScienceProgramAppliedMathematicsSpecializationLinearAlgebraandItsApplicationDegreeDoctorofPhilosophyUniversityXiangtanUniversityDateMay,2011pX{A;TZE%p?~<4%WwG~{wFUp`
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27、^.IU:Æ%pB1,G,M−,G,~)H−,G,4=,G,Æ%5pB1,G,fYHBkw,DfYHBkw.IIAbstractThegeneralizeddiagonallydominantmatrix(H−matrix)isarelativelyactiveresearchfieldincomputationalmathematics,cyberneticsandmatrixtheory.Itiswidelyusedinmanysubjectssuchascomputationalmathematics
28、,mathemati-calphysics,economics,biology,dynamicalsystemtheoryandintelligencescienceetc..ManypracticalproblemscanbesummarizedtodeterminetheH−matrix.However,itisratherd