search for: quadform

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2005 Oct 05
1
(no subject)
...solve(covXY) #up<-max(meanx+4*varx^.5,meanx-4*varx^.5,meany+4*vary^.5,meany-4*vary^.5) #x <- seq(-up,up,length=50) #y <- x x <- seq(meanx-3*varx^.5,meanx+3*varx^.5,length=50) y <- seq(meany-3*vary^.5,meany+3*vary^.5,length=50) f <- function(x,y,...) { detA<-det(A) quadForm<-A[1,1]*(x-meanx)^2+2*A[1,2]*(x-meanx)*(y-meany)+A[2,2]*(y-meany)^2 K<-sqrt(detA)/(2*pi) exp(-0.5*quadForm)*K } z <- outer(x, y, f) par(mfrow=c(1,2)) persp(x, y, z,theta = 30, phi = 30,col="white",main="BI-VARIATE NORMAL DISTRIBUTION") contour(x,y,z,main=past...
2004 Oct 06
3
crossprod vs %*% timing
Hi the manpage says that crossprod(x,y) is formally equivalent to, but faster than, the call 't(x) %*% y'. I have a vector 'a' and a matrix 'A', and need to evaluate 't(a) %*% A %*% a' many many times, and performance is becoming crucial. With f1 <- function(a,X){ ignore <- t(a) %*% X %*% a } f2 <- function(a,X){ ignore <-