# Statistics Questions Using R-Programming

Subject Mathematics Statistics-R Programming

## Question

Check the file: Questions.pdf

## Solution Preview

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1.
(b)
The folowing the minimization function for Ruotient using cyclic coordinate descent:
```{r}
solveRayleigh2 <- function (A,B,eps = 1e-6, itmax = 100) {
x <- rep(1,4)
itel <- 1
repeat {
tmax <- 0
for (j in 1:4) {
u <- A%*%x
v <- B%*%x
a.jj <- A[j,j]
b.jj <- B[j,j]
u.j <- u[j]
v.j <- v[j]

x[j] <- x[j] + theta
tmax <- max (tmax, abs(theta))
}
if ((tmax < eps) || (itel == itmax)) break()
itel <- itel + 1
}
list(min.x=x, min.lambda=t(x)%*%A%*%x/(t(x)%*%B%*%x))
}...

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