Title of article
Strong rank revealing LU factorizations Original Research Article
Author/Authors
L. Miranian، نويسنده , , M. Gu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
16
From page
1
To page
16
Abstract
For any m×n matrix A we introduce a definition of strong rank revealing LU (RRLU) factorization related to the definition presented by Pan, but with some extensions similar to the notion of strong rank revealing QR factorization developed in the joint work of Gu and Eisenstat. A pivoting strategy based on the idea of local maximum volumes is introduced and a proof of the existence of strong RRLU is given.
Keywords
Rank revealing , QR decomposition , LU decomposition , Numerical rank , singular values , Backward stability
Journal title
Linear Algebra and its Applications
Serial Year
2003
Journal title
Linear Algebra and its Applications
Record number
823929
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