Combined matrices in special classes of matrices

On Some Special Classes of Sonnenschein Matrices

‎In this paper we consider the special classes of Sonnenschein matrices‎, ‎namely the Karamata matrices $K[alpha,beta]=left(a_{n,k}right)$ with the entries‎ ‎[{a_{n,k}} = sumlimits_{v = 0}^k {left( begin{array}{l}‎ ‎n\‎ ‎v‎ ‎end{array} right){{left( {1‎ - ‎alpha‎ - ‎beta } right)}^v}{alpha ^{n‎ - ‎v}}left( begin{array}{l}‎ ‎n‎ + ‎k‎ - ‎v‎ - ‎1\‎ ‎,,,,,,,,,,k...

Evaluating Determinants of Two Classes of Special Matrices

This article evaluates the determinants of two classes of special matrices, which are both from a number theory problem and has a subtle relationship with the Fermat’s Little Theorem. More details on the derived results in number theory is reported in another paper [arXiv:math.NT/0509523]. Note that the two determinants are actually special cases of Theorems 20 and 23 in [arXiv:math.CO/9902004]...

Width Sequences for Special Classes of (0,1)-matrices

On the C-determinantal range for special classes of matrices

Let A and C be square complex matrices of size n, the C-determinantal range of A is the subset of the complex plane {det (A− UCU∗) : UU∗ = In}. If A,C are both Hermitian matrices, then by a result of M. Fiedler [11] this set is a real line segment. In this paper we study this set for the case when C is a Hermitian matrix. Our purpose is to revisit and improve two well-known results on this topi...

Classes of Elliptic Matrices