Certain matrices related to Fibonacci sequence having recursive entries.
Characterisation of some sparse binary sequential arrays.
Cholesky factorizations of matrices associated with -order recurrent sequences.
Circulant matrices with orthogonal rows and off-diagonal entries of absolute value
It is known that a real symmetric circulant matrix with diagonal entries , off-diagonal entries and orthogonal rows exists only of order (and trivially of order ) [Turek and Goyeneche 2019]. In this paper we consider a complex Hermitian analogy of those matrices. That is, we study the existence and construction of Hermitian circulant matrices having orthogonal rows, diagonal entries and any complex entries of absolute value off the diagonal. As a particular case, we consider matrices whose...
Complete residue systems in the ring of matrices of rational integers.
Concerning row operations on systems of linear equations with integral coefficients.
Conjugacy and factorization results on matrix groups
In this survey paper, we present (mainly without proof) a number of results on conjugacy and factorization in general linear groups over fields and commutative rings. We also present the additive analogue in matrix rings of some of these results. The first section deals with the question of expressing elements in the commutator subgroup of the general linear group over a field as (simple) commutators. In Section 2, the same kind of problem is discussed for the general linear group over a commutative...
Continued fractions and transformations of integer sequences.
Counting determinants of Fibonacci-Hessenberg matrices using LU factorizations.