Solving linear systems over tropical semirings through normalization method and its applications

DOI10.1142/S0219498821501590zbMath1490.16103arXiv1905.00489OpenAlexW3042325789MaRDI QIDQ5157909

Fateme Olia, Sedighe Jamshidvand, Amirhossein Amiraslani, Shaban Ghalandarzadeh

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00489

zbMATH Keywords

system of linear equationscolumn rankrow ranktropical semiring

Mathematics Subject Classification ID

Semirings (16Y60) Direct numerical methods for linear systems and matrix inversion (65F05) Vector spaces, linear dependence, rank, lineability (15A03) Linear equations (linear algebraic aspects) (15A06)

Cites Work

• Unnamed Item
• Inner products on semimodules over a commutative semiring.
• Max-plus methods for nonlinear control and estimation.
• Complete algebraic solution of multidimensional optimization problems in tropical semifield
• Equational theories of tropical semirings
• Graphs, dioids and semirings. New models and algorithms.
• Note on a simple type of algebra in which the cancellation law of addition does not hold

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