On solutions to the quaternion matrix equation .
On some Markov matrices arising from the generalized Collatz mapping
On some matrix trace inequalities.
On some properties of the Laplacian matrix revealed by the RCM algorithm
In this paper we present some theoretical results about the irreducibility of the Laplacian matrix ordered by the Reverse Cuthill-McKee (RCM) algorithm. We consider undirected graphs with no loops consisting of some connected components. RCM is a well-known scheme for numbering the nodes of a network in such a way that the corresponding adjacency matrix has a narrow bandwidth. Inspired by some properties of the eigenvectors of a Laplacian matrix, we derive some properties based on row sums of a...
On some properties of the symplectic and Hamiltonian matrices.
On spectra perturbation and elementary divisors of positive matrices.
On sums of - matrices.
On sums of range symmetric matrices in Minkowski space.
On symmetric matrices with exactly one positive eigenvalue.
On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue.
On the average growth of random Fibonacci sequences.
On the binary system of factors of formal matrix rings
We investigate the formal matrix ring over defined by a certain system of factors. We give a method for constructing formal matrix rings from non-negative integer matrices. We also show that the principal factor matrix of a binary system of factors determine the structure of the system.
On the Brualdi-Liu conjecture for the even permanent.
On the Burnside problem for semigroups of matrices in the (max, + ) algebra.
On the cardinality of complex matrix scalings
We disprove a conjecture made by Rajesh Pereira and Joanna Boneng regarding the upper bound on the number of doubly quasi-stochastic scalings of an n × n positive definite matrix. In doing so, we arrive at the true upper bound for 3 × 3 real matrices, and demonstrate that there is no such bound when n ≥ 4.
On the Cayley transform of positivity classes of matrices.
On the central coefficients of Bell matrices.
On the class of square Petrie matrices induced by cyclic permutations.
On the computation of the null space of Toeplitz-like matrices.
On the convergence theory of double -weak splittings of type II
Recently, Wang (2017) has introduced the -nonnegative double splitting using the notion of matrices that leave a cone invariant and studied its convergence theory by generalizing the corresponding results for the nonnegative double splitting by Song and Song (2011). However, the convergence theory for -weak regular and -nonnegative double splittings of type II is not yet studied. In this article, we first introduce this class of splittings and then discuss the convergence theory for these sub-classes...