# ridgeline: Ridgeline computation

## Description

Computes (alpha*Sigma1^-1+(1-alpha)*Sigma2^-1)^-1*
alpha*(Sigma1^-1*mu1)+(1-alpha)*(Sigma2^-1*mu2)) as required for the
computation of the ridgeline (Ray and Lindsay, 2005) to find
all density extrema of a two-component Gaussian mixture with
mean vectors mu1 and mu2 and covariance matrices Sigma1, Sigma2.

## Usage

ridgeline(alpha, mu1, mu2, Sigma1, Sigma2)

## Arguments

mu1

mean vector of component 1.

mu2

mean vector of component 2.

Sigma1

covariance matrix of component 1.

Sigma2

covariance matrix of component 2.

## Value

A vector. See above.

## References

Ray, S. and Lindsay, B. G. (2005) The Topography of Multivariate
Normal Mixtures, *Annals of Statistics*, 33, 2042-2065.

## Examples

# NOT RUN {
ridgeline(0.5,c(1,1),c(2,5),diag(2),diag(2))
# }