6 papers
On Characters of a Class of P-polynomial table algebras and applications
Masoumeh Koohestani, Amir Rahnamai Barghi, Amirhossein Amiraslani
In this paper, we study the characters of homogeneous monotonic P-polynomial table algebras with finite dimension d>=5. We then apply them to association schemes. To this end, we d…
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…
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…
The Application of Tridiagonal Matrices in P-polynomial Table Algebras
Masoumeh Koohestani, Amir Rahnamai Barghi, Amirhossein Amiraslani
In this paper, we study the characters of two classes of P-polynomial table algebras using tridiagonal matrices. To this end, we obtain some results about the eigen-structure of sp…
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…
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…