English

L1Packv2: A Mathematica package for minimizing an $\ell_1$-penalized functional

Numerical Analysis 2009-11-13 v4

Abstract

L1Packv2 is a Mathematica package that contains a number of algorithms that can be used for the minimization of an 1\ell_1-penalized least squares functional. The algorithms can handle a mix of penalized and unpenalized variables. Several instructive examples are given. Also, an implementation that yields an exact output whenever exact data are given is provided.

Keywords

Cite

@article{arxiv.0710.3728,
  title  = {L1Packv2: A Mathematica package for minimizing an $\ell_1$-penalized functional},
  author = {Ignace Loris},
  journal= {arXiv preprint arXiv:0710.3728},
  year   = {2009}
}

Comments

17 pages, 3 figures; v3: Major re-arragangement/reworking of content. Replaced some examples. v4: minor typos and additions

R2 v1 2026-06-21T09:34:01.941Z