# A note on majorization transforms and Ryser’s algorithm

Special Matrices (2013)

- Volume: 1, page 17-24
- ISSN: 2300-7451

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topGeir Dahl. "A note on majorization transforms and Ryser’s algorithm." Special Matrices 1 (2013): 17-24. <http://eudml.org/doc/266566>.

@article{GeirDahl2013,

abstract = {The notion of a transfer (or T -transform) is central in the theory of majorization. For instance, it lies behind the characterization of majorization in terms of doubly stochastic matrices. We introduce a new type of majorization transfer called L-transforms and prove some of its properties. Moreover, we discuss how L-transforms give a new perspective on Ryser’s algorithm for constructing (0; 1)-matrices with given row and column sums.},

author = {Geir Dahl},

journal = {Special Matrices},

keywords = {Majorization; transfer; zero-one matrices with given line sums; Ryser’s algorithm • doubly stochastic matrix; majorization; Ryser's algorithm; doubly stochastic matrix},

language = {eng},

pages = {17-24},

title = {A note on majorization transforms and Ryser’s algorithm},

url = {http://eudml.org/doc/266566},

volume = {1},

year = {2013},

}

TY - JOUR

AU - Geir Dahl

TI - A note on majorization transforms and Ryser’s algorithm

JO - Special Matrices

PY - 2013

VL - 1

SP - 17

EP - 24

AB - The notion of a transfer (or T -transform) is central in the theory of majorization. For instance, it lies behind the characterization of majorization in terms of doubly stochastic matrices. We introduce a new type of majorization transfer called L-transforms and prove some of its properties. Moreover, we discuss how L-transforms give a new perspective on Ryser’s algorithm for constructing (0; 1)-matrices with given row and column sums.

LA - eng

KW - Majorization; transfer; zero-one matrices with given line sums; Ryser’s algorithm • doubly stochastic matrix; majorization; Ryser's algorithm; doubly stochastic matrix

UR - http://eudml.org/doc/266566

ER -

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