Hello,=0D =0D I just noticed that the "svd" function does not work properly for some=0D sparse matrices.=0D When I replace the 0 by very small noises (let's say 10^-16), it then=0D works.=0D The test I've performed is to compared the singular values to the eigen=0D values (as I work with squarred matrices).=0D =0D Here is the code (I may be wrong!):=0D =0D usHigh<-(Sp5>=3D300 & Region=3D=3D1)=0D usLow<-(Sp5<300 & Region=3D=3D1)=0D euHigh<-(Sp5>=3D200 & Region=3D=3D2)=0D euLow<-(Sp5<200 & Region=3D=3D2)=0D sigmas<-c(13.71,162.71,8.78,103.83,5.29,77.08,3.42,41.04)=0D temp1<-sigmas[1]*usLow+sigmas[2]*usHigh+sigmas[5]*euLow+sigmas[6]*euHigh=0D temp10<-sigmas[3]*usLow+sigmas[4]*usHigh+sigmas[7]*euLow+sigmas[8]*euHig=0D h=0D CorrEU<-0.89=0D CorrUS<-0.82=0D =0D CorrR<-matrix(0,2*SN.nb,2*SN.nb)=0D diag(CorrR)<-c(temp1^2,temp10^2)=0D =0D temp<-ifelse(Region=3D=3D1,CorrUS,CorrEU)=0D tempMat<-matrix(0,SN.nb,SN.nb)=0D diag(tempMat)<-temp*temp1*temp10=0D CorrR[(SN.nb+1):(2*SN.nb),1:SN.nb]<-tempMat=0D CorrR[1:SN.nb,(SN.nb+1):(2*SN.nb)]<-tempMat=0D =0D CorrR is positive definite but "svd" returns negative singular values!=0D When replacing 0s by very week noises, the error disppears.=0D =0D Hope I'm not saying stupid things.=0D =0D Rgds,=0D =0D Mehdi=0D =0D =0D =0D =0D =0D =0D -----------------------------------------=0D The information contained in this e-mail message, and any=0D attachment thereto, is confidential and may not be disclosed=0D without our express permission. If you are not the intended=0D recipient or an employee or agent responsible for delivering this=0D message to the intended recipient, you are hereby notified that you=0D have received this message in error and that any review,=0D dissemination, distribution or copying of this message, or any=0D attachment thereto, in whole or in part, is strictly prohibited. If=0D you have received this message in error, please immediately notify=0D us by telephone, fax or e-mail and delete the message and all of=0D its attachments. Thank you. Every effort is made to keep our=0D network free from viruses. You should, however, review this e-mail=0D message, as well as any attachment thereto, for viruses. We take no=0D responsibility and have no liability for any computer virus which=0D may be transferred via this e-mail message.=0D
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