English

Matrix sparsification and the sparse null space problem

Computational Complexity 2010-08-10 v1 Numerical Analysis

Abstract

We revisit the matrix problems sparse null space and matrix sparsification, and show that they are equivalent. We then proceed to seek algorithms for these problems: We prove the hardness of approximation of these problems, and also give a powerful tool to extend algorithms and heuristics for sparse approximation theory to these problems.

Keywords

Cite

@article{arxiv.1008.1498,
  title  = {Matrix sparsification and the sparse null space problem},
  author = {Lee-Ad Gottlieb and Tyler Neylon},
  journal= {arXiv preprint arXiv:1008.1498},
  year   = {2010}
}

Comments

A preliminary version appeared in Approx '10

R2 v1 2026-06-21T15:58:34.400Z