Matrix Sparsification and the Sparse Null Space Problem

Lee Ad Gottlieb, Tyler Neylon

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish
Pages (from-to)426-444
Number of pages19
JournalAlgorithmica
Volume76
Issue number2
DOIs
StatePublished - 1 Oct 2016

Keywords

  • Matrix sparsification
  • Sparse approximation
  • Sparse null space

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