Ldei: Solves a linear inverse model using least distance...

In LIM: Linear Inverse Model Examples and Solution Methods

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:

• as matrices E, F, A, B, G, H (Ldei.double)

• as a list (Ldei.lim) or

• as a lim input file (Ldei.limfile)

Usage

Ldei(...)
## S3 method for class 'lim'
Ldei(lim, ...)
## S3 method for class 'limfile'
Ldei(file, verbose = TRUE, ...)
## S3 method for class 'character'
Ldei(...)
## S3 method for class 'double'
Ldei(...)

Arguments

lim	a list that contains the linear inverse model specification, as generated by function setup.limfile.
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(∑ {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 <[e-mail]>

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)

LIM documentation built on May 11, 2022, 5:05 p.m.