简介：OnthebasisofPlanckquantumhypothesisandEinsteinphotonquantumhypothesis,Zhongjizi(anewelementaryparticle)hypothesiswasproposedtorevealtheessenceofphoton,theoriginofmass,thequantumpropertyofgravitation,andthenatureofdarkmatter.TheresultsshowthatphotonisessentiallyasetofZhongjizi,lightiscomposedupofZhongjizi,thenatureoflightisparticleproperty,thepropertyoflightisdeterminedbythepropertyofZhongjizi,andthequantumpropertyoflightisessentiallyZhongjizipropertyoflight.Zhongjiziisthemostbasicparticleintheuniverseandtheoriginofmass,whichgivesmasstootherparticles.Zhongjiziisparticletransmittingthegravitation;gravitationtransmissionspeedisequaltothespeedoflight.ThequantumpropertyofgravitationisthepropertythatgravitationistransmittedbyZhongjizi.Theso-calleddarkmatterisessentiallyZhongjizifulloftheuniverseandtransmittinggravitation,soZhongjiziistheso-calleddarkmatterparticle.

简介：最近，矩阵因式分解模型实质上在处理大规模等级最小化问题吸引增加的注意，它是一个nonconvex最小化问题。明确地，它是一个二次的最少的广场问题并且因而一个四次的多项式优化问题。在这份报纸，我们介绍SNIG的一个概念(“秒顺序必要optimality暗示全球optimality”)代表性质的状况矩阵因式分解模型的静止的点必须是的任何秒顺序全球minimizer。SNIG条件抓住在下面被介绍的一些情形。而且，当SNIG条件可以失败时，我们由一个例子说明。

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