Estimate the Condition Number of a Matrix, QR Decomposition or Fit

Usage

kappa(z, ...)
kappa.lm(z, ...)
kappa.default(z, exact = FALSE)

Arguments

z A matrix or a qr decomposition or a fit from a class inheriting from "lm".
exact Should the result be exact?

Description

An estimate of the condition number of a matrix or of the R matrix of a QR decomposition, perhaps of a linear fit. The condition number is defined as the ratio of the largest to the smallest non-zero singular value of the matrix.

Details

If exact = FALSE (the default) the condition number is estimated by a cheap approximation. Following S, this uses the LINPACK routine dtrco.f. However, in R (or S) the exact calculation is also likely to be quick enough.

Value

An estimate of the condition number.

Author(s)

B.D. Ripley


[Package Contents]