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PEIP (version 1.7)

irls: Iteratively reweight least squares

Description

Uses the iteratively reweight least squares strategy to find an approximate L_p solution to Ax=b.

Usage

irls(A, b, tolr, tolx, p, maxiter)

Arguments

A
Matrix of the system of equations.
b
Right hand side of the system of equations
tolr
Tolerance below which residuals are ignored
tolx
Stopping tolerance. Stop when (norm(newx-x)/(1+norm(x)) < tolx)
p
Specifies which p-norm to use (most often, p=1.)
maxiter
Limit on number of iterations of IRLS

Value

  • xApproximate L_p solution

Details

Use to get L-1 norm solution of inverse problems.

References

Aster, R.C., C.H. Thurber, and B. Borchers, Parameter Estimation and Inverse Problems, Elsevier Academic Press, Amsterdam, 2005.