Identification of Cospectral Simple Jointed Kinematic Chains using Characteristic Polynomial of Degree Matrix and Structural Matrix

Differential Polynomial Rings of Triangular Matrix Rings

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Polynomial degree bounds for matrix semi-invariants

We study the left-right action of SL n × SL n on m-tuples of n × n matrices with entries in an infinite field K. We show that invariants of degree n 2 − n define the null cone. Consequently, invariants of degree ≤ n 6 generate the ring of invariants if char(K) = 0. We also prove that for m ≫ 0, invariants of degree at least n⌊ √ n + 1⌋ are required to define the null cone. We generalize our res...

Adjacency matrix and characteristic polynomial of a derived voltage graph

In this article, we explain how to calculate the adjacency matrix and the characteristic polynomial of a derived voltage graph when the voltage group is abelian as presented in [1]. We then present a theorem for calculating the adjacency matrix of a derived voltage graph for any voltage group, abelian or non-abelian.

Some Properties of the Characteristic Polynomial of a Nonnegative Matrix*

In this paper, we extend and generalize some of the well known spectral properties of a nonnegative matrix by establishing analogous properties for the zeros of derivatives of the characteristic polynomial of such a matrix.