Tropical Linear Algebra: Notions of Rank Over the Tropical Semiring

Tropical Linear Algebra: Notions of Rank Over the Tropical Semiring

Bibliographic Details
Main Author: Wise, William D
Language:English
Published: Oberlin College Honors Theses / OhioLINK 2015
Subjects:
Mathematics
algebra
linear
inequality
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1432052601
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-oberlin14320526012021-08-03T06:31:26Z Tropical Linear Algebra: Notions of Rank Over the Tropical Semiring Wise, William D Mathematics algebra linear inequality Three formulations of the rank of a matrix that are equivalent in classical linear algebra give rise to distinct notions of rank over the tropical semiring. This paper explores these three concepts of tropical rank and their relationships with one another, working up to a proof of the inequality that relates the three. 2015-05-28 English text Oberlin College Honors Theses / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1432052601 http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1432052601 unrestricted This thesis or dissertation is protected by copyright: some rights reserved. It is licensed for use under a Creative Commons license. Specific terms and permissions are available from this document's record in the OhioLINK ETD Center.
collection NDLTD
language English
sources NDLTD
topic Mathematics
algebra
linear
inequality
spellingShingle Mathematics
algebra
linear
inequality
Wise, William D
Tropical Linear Algebra: Notions of Rank Over the Tropical Semiring
author Wise, William D
author_facet Wise, William D
author_sort Wise, William D
title Tropical Linear Algebra: Notions of Rank Over the Tropical Semiring
title_short Tropical Linear Algebra: Notions of Rank Over the Tropical Semiring
title_full Tropical Linear Algebra: Notions of Rank Over the Tropical Semiring
title_fullStr Tropical Linear Algebra: Notions of Rank Over the Tropical Semiring
title_full_unstemmed Tropical Linear Algebra: Notions of Rank Over the Tropical Semiring
title_sort tropical linear algebra: notions of rank over the tropical semiring
publisher Oberlin College Honors Theses / OhioLINK
publishDate 2015
url http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1432052601
work_keys_str_mv AT wisewilliamd tropicallinearalgebranotionsofrankoverthetropicalsemiring
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