Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research
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. p. 528 стр., 244-249.Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research
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TY - CHAP
T1 - A solution of a tropical linear vector equation
AU - Krivulin, Nikolai
PY - 2012
Y1 - 2012
N2 - 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.
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.
KW - Idempotent vector space
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 -
ID: 4576173