Ldei {LIM}R Documentation

Solves a linear inverse model using least distance programming

Description

Solves a linear inverse model using least distance programming, i.e. minimizes the sum of squared unknowns.

Input presented either:

Usage

Ldei(...)
Ldei.lim(lim,...)
Ldei.limfile(file, verbose=TRUE, ...)
Ldei.character(...)
Ldei.double(...)

Arguments

lim a list that contains the linear inverse model specification, as generated by function Setup
file name of the inverse input file
verbose if TRUE: prints warnings and messages to the screen
... other arguments passed to function ldei from packagelimSolve

Details

Solves the following inverse problem:

min(sum {Cost_i*x_i}^2)

subject to

Ax=B

Gx>=H

Value

a list containing:

X vector containing the solution of the least distance problem.
unconstrained.Solution vector containing the unconstrained solution of the least distance problem
residualNorm scalar, the sum of residuals of equalities and violated inequalities
solutionNorm scalar, the value of the quadratic function at the solution
IsError logical TRUE, if an error occurred
Error ldei error text
type ldei

Author(s)

Karline Soetaert <k.soetaert@nioo.knaw.nl>

References

Lawson C.L.and Hanson R.J. 1974. SOLVING LEAST SQUARES PROBLEMS, Prentice-Hall
Lawson C.L.and Hanson R.J. 1995. Solving Least Squares Problems. SIAM classics in applied mathematics, Philadelphia. (reprint of book)

See Also

ldei, the more general function from package limSolve

Linp, to solve the linear inverse problem by linear programming

Lsei, to solve the linear inverse problem by lsei (least squares with equality and inequality constraints)

function ldei from packagelimSolve

Examples

Ldei(LIMRigaAutumn)

[Package LIM version 1.2 Index]