7 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…
Differentiation Matrices for Univariate Polynomials
Amirhossein Amiraslani, Robert M. Corless, Madhusoodan Gunasingham
We collect here elementary properties of differentiation matrices for univariate polynomials expressed in various bases, including orthogonal polynomial bases and non-degree-graded…