Matrix sparsification and the sparse null space problem

Lee-Ad Gottlieb; Tyler Neylon

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arXiv · 1008.1498

Matrix sparsification and the sparse null space problem

Lee-Ad Gottlieb·Tyler Neylon

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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.

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Lee-Ad Gottlieb, Tyler Neylon. 2010-08-09. Matrix sparsification and the sparse null space problem. https://arxiv.org/abs/1008.1498

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