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A pivoted LLL algorithm
Conference

A pivoted LLL algorithm

Abstract

Luk and Tracy (2008) [7] developed a matrix interpretation of the LLL algorithm. Building on their work [7], we propose to add pivoting to the algorithm. We prove that our new algorithm always terminates, and we construct a class of ill-conditioned reduced matrices to illustrate the advantages of pivoting.

Authors

Luk FT; Qiao S

Volume

434

Pagination

pp. 2296-2307

Publisher

Elsevier

Publication Date

6 2011

DOI

10.1016/j.laa.2010.04.003

Conference proceedings

Linear Algebra and its Applications

Issue

11

ISSN

0024-3795