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The main diagonal of a permutation matrix
Publikationstyp
Journal Article
Publikationsdatum
2012-05-03
Sprache
English
Institut
TORE-URI
Enthalten in
Volume
439
Issue
3
Start Page
524
End Page
537
Citation
Linear Algebra and Its Applications 3 (439): 524-537 (2013)
Publisher DOI
Scopus ID
Publisher
American Elsevier Publ.
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.
Schlagworte
banded matrix
permutation
ifinite matrix
main diagonal
factorization
DDC Class
510: Mathematik
More Funding Information
Marie-Curie Grant of the European Union