A solution of a tropical linear vector equation

Nikolai Krivulin

A solution of a tropical linear vector equation

Кафедра статистического моделирования

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная

Аннотация

A linear vector equation is considered defined in terms of idempotent mathematics. To solve the equation, we apply an approach that is based on the analysis of distances between vectors in idempotent vector spaces and reduces the solution of the equation to that of a tropical optimization problem. Based on the approach, existence and uniqueness conditions are established for the solution, and a general solution to the equation is given.

Язык оригинала	английский
Название основной публикации	Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series.
Издатель	WSEAS - World Scientific and Engineering Academy and Society
Страницы	528 стр., 244-249
ISBN (печатное издание)	978-1-61804-126-5
Состояние	Опубликовано - 2012

Доступ к документу

http://www.wseas.us/e-library/conferences/2012/Prague/ECC/ECC-37.pdf

1 выступление с устной презентацией

A solution of a tropical linear vector equation
Николай Кимович Кривулин (Докладчик)
25 сен 2012
Деятельность: выступление › выступление с устной презентацией

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Krivulin, N. (2012). A solution of a tropical linear vector equation. В Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series. (стр. 528 стр., 244-249). WSEAS - World Scientific and Engineering Academy and Society. http://www.wseas.us/e-library/conferences/2012/Prague/ECC/ECC-37.pdf

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keywords = "Idempotent vector space, Linear equation, Tropical optimization problem, Existence condition",

author = "Nikolai Krivulin",

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booktitle = "Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series.",

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Krivulin, N 2012, A solution of a tropical linear vector equation. в Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series.. WSEAS - World Scientific and Engineering Academy and Society, стр. 528 стр., 244-249. <http://www.wseas.us/e-library/conferences/2012/Prague/ECC/ECC-37.pdf>

A solution of a tropical linear vector equation. / Krivulin, Nikolai.

Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series.. WSEAS - World Scientific and Engineering Academy and Society, 2012. стр. 528 стр., 244-249.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная

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AB - A linear vector equation is considered defined in terms of idempotent mathematics. To solve the equation, we apply an approach that is based on the analysis of distances between vectors in idempotent vector spaces and reduces the solution of the equation to that of a tropical optimization problem. Based on the approach, existence and uniqueness conditions are established for the solution, and a general solution to the equation is given.

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KW - Linear equation

KW - Tropical optimization problem

KW - Existence condition

M3 - Chapter

SN - 978-1-61804-126-5

SP - 528 стр., 244-249

BT - Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series.

PB - WSEAS - World Scientific and Engineering Academy and Society

ER -

A solution of a tropical linear vector equation

Аннотация

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A solution of a tropical linear vector equation

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