quadform_inv: Quadratic Form of the inverse of a matrix and a vector

Description Usage Arguments Details Value

View source: R/helper.r

Description

We compute the quadratic form of a vector and the inverse of a matrix in an efficient manner. Let x be a real vector of length p, and let A be a p x p nonsingular matrix. Then, we compute the quadratic form q = x' A^{-1} x.

Usage

1

Arguments

A

matrix that is p x p and nonsingular

x

vector of length p

Details

A naive way to compute the quadratic form is to explicitly write t(x) %*% solve(A) %*% x, but for large p, this operation is inefficient. We provide a more efficient method below.

Note that we have adapted the code from: http://tolstoy.newcastle.edu.au/R/help/05/11/14989.html

Value

scalar value


sparsediscrim documentation built on Aug. 14, 2017, 5:10 p.m.