Publisher DOI: 10.1016/j.laa.2012.02.034
Title: The main diagonal of a permutation matrix
Language: English
Authors: Lindner, Marko  
Strang, Gilbert 
Keywords: banded matrix;permutation;ifinite matrix;main diagonal;factorization
Issue Date: 3-May-2012
Publisher: American Elsevier Publ.
Source: Linear Algebra and Its Applications 3 (439): 524-537 (2013)
Journal or Series Name: Linear algebra and its applications 
Abstract (english): By counting 1's in the "right half" of 2w consecutive rows, we locate the main diagonal of any doubly infinite permutation matrix with bandwidth w. Then the matrix can be correctly centered and factored into block-diagonal permutation matrices. Part II of the paper discusses the same questions for the much larger class of band-dominated matrices. The main diagonal is determined by the Fredholm index of a singly infinite submatrix. Thus the main diagonal is determined "at infinity" in general, but from only 2w rows for banded permutations.
ISSN: 0024-3795
Institute: Mathematik E-10 
Type: (wissenschaftlicher) Artikel
Funded by: Marie-Curie Grant of the European Union
Project: PERG02-GA-2007-224761 
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