most citedMultiplication Semimodules

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.AC2019

Solving Linear Systems over Tropical Semirings through Normalization Method and its Applications

Fateme Olia, Shaban Ghalandarzadeh, Amirhossein Amiraslani +1

In this paper, we introduce and analyze a normalization method for solving a system of linear equations over tropical semirings. We use a normalization method to construct an assoc…

math.AC2019

Analysis of linear systems over idempotent semifields

Fateme Olia, Shaban Ghalandarzadeh, Amirhossein Amiraslani +1

In this paper, we present and analyze methods for solving a system of linear equations over idempotent semifields. The first method is based on the pseudo-inverse of the system mat…

math.AC20191 cited

Multiplication Semimodules

Rafieh Razavi Nazari, Shaban Ghalandarzadeh

Let be a semiring. An -semimodule is called a multiplication semimodule if for each subsemimodule of there exists an ideal of such that . In this p…

math.AC2019

Solving Linear Systems over Idempotent Semifields through -factorization

Sedighe Jamshidvand, Shaban Ghalandarzadeh, Amirhossein Amiraslani +1

In this paper, we introduce and analyze a new -factorization technique for square matrices over idempotent semifields. In particular, more emphasis is put on "max-plus" algebra…

math.AC2019

On the Maximal Solution of A Linear System over Tropical Semirings

Sedighe Jamshidvand, Shaban Ghalandarzadeh, Amirhossein Amiraslani +1

In this paper, we present methods for solving a system of linear equations, , over tropical semirings. To this end, if possible, we first reduce the order of the system thr…