numeric matrix containing the coefficients of the equalities
Ex=F.
F
numeric vector containing the right-hand side of the
equalities.
G
numeric matrix containing the coefficients of the inequalities
Gx>=H.
H
numeric vector containing the right-hand side of the
inequalities.
EqA
numeric matrix containing the coefficients that define the
variable equations.
EqB
numeric vector containing the right-hand side of the variable
equations.
ispos
if TRUE, it is imposed that unknowns are positive
quantities.
tol
tolerance for equality and inequality constraints.
Value
a 2-column matrix with the minimum and maximum value of each equation
(variable)
Note
uses linear programming function lp from package
lpSolve.
Author(s)
Karline Soetaert <karline.soetaert@nioz.nl>
References
Michel Berkelaar and others (2010). lpSolve:
Interface to Lp_solve v. 5.5 to solve linear/integer
programs. R package version 5.6.5.
http://CRAN.R-project.org/package=lpSolve
See Also
Minkdiet, for a description of the Mink diet example.
xranges, to estimate ranges of inverse unknowns.
xsample, to randomly sample the lsei problem
lp: linear programming function from package lpSolve.
Examples
# Ranges in the contribution of food 3+4+5 in the diet of Mink (try ?Minkdiet)
E <- rbind(Minkdiet$Prey, rep(1, 7))
F <- c(Minkdiet$Mink, 1)
EqA <- c(0, 0, 1, 1, 1, 0, 0) # sum of food 3,4,5
(isoA <- varranges(E, F, EqA = EqA, ispos = TRUE)) # ranges of part of food 3+4+5
# The same, but explicitly imposing positivity
varranges(E, F, EqA = EqA, G = diag(7), H = rep(0, 7))