leigh: Leigh's curve

In damelunx/symconivol: A package for curvature measures of symmetric cones

Description

leigh produces a table and lookup functions for Leigh's curve (see accompanying vignette for definition).

Usage

leigh(N = 1000)

Arguments

N	number of intermediate points; size of resulting table

Value

The output of leigh is a list of six elements:

• table: a table of function values with N elements

• dtable: a table of function values with N elements for the derivative

• lkup_rho: a corresponding lookup function for rho in terms of kappa

• lkup_kappa: a corresponding lookup function for kappa in terms of rho

• lkup_drho_dkappa: a corresponding lookup function for the partial derivative of rho in terms of kappa

• lkup_dkappa_drho: a corresponding lookup function for the partial derivative of kappa in terms of rho

See also

mu, rate, pat_bnd

Package: symconivol

Examples

L <- leigh()
ggplot(L$tab, aes(x=rho,y=kappa)) + geom_line()
x <- (0:10)/10
matrix(c(x, L$lkup_rho(x) ),11,2)
matrix(c(x, L$lkup_kappa(x) ),11,2)

damelunx/symconivol documentation built on May 17, 2019, 7:01 p.m.