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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 3 of 3 (0.03 seconds)

Spelling suggestions: "subject:"15323"" "subject:"153.23""

1

Structured Matrices and the Algebra of Displacement Operators

Takahashi, Ryan 01 May 2013 (has links)
Matrix calculations underlie countless problems in science, mathematics, and engineering. When the involved matrices are highly structured, displacement operators can be used to accelerate fundamental operations such as matrix-vector multiplication. In this thesis, we provide an introduction to the theory of displacement operators and study the interplay between displacement and natural matrix constructions involving direct sums, Kronecker products, and blocking. We also investigate the algebraic behavior of displacement operators, developing results about invertibility and kernels.
15A23 Factorization of matrices
65F99 Numerical linear algebra
Algebra
Other Applied Mathematics
2

The Main Diagonal of a Permutation Matrix

Lindner, Marko, Strang, Gilbert 11 July 2012 (has links) (PDF)
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.
Bandmatrix
Permutation
unendliche Matrix
Hauptdiagonale
Faktorisierung
banded matrix
permutation
infinite matrix
main diagonal
factorization
15A23
47A53
47B36
ddc:518
Unendliche Matrix
Bandmatrix
Permutation
Faktorisierung
3

The Main Diagonal of a Permutation Matrix

Lindner, Marko, Strang, Gilbert January 2011 (has links)
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.
info:eu-repo/classification/ddc/518
ddc:518
15A23, 47A53, 47B36

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