Almost triangular matrices over Dedekind domains.
Alternating projected Barzilai-Borwein methods for nonnegative matrix factorization.
An algorithm for determining if the inverse of a strictly diagonally dominant Stieltjes matrix is strictly ultrametric.
An analysis of GCD and LCM matrices via the -factorization.
An Example on Strong Equivalence of Positive Integral Matrices.
An explicit factorization of totally positive generalized Vandermonde matrices avoiding Schur functions.
An improved characterisation of the interior of the completely positive cone.
An improvement of an inequality of Fiedler leading to a new conjecture on nonnegative matrices
Suppose that is an nonnegative matrix whose eigenvalues are . Fiedler and others have shown that , for all , with equality for any such if and only if is the simple cycle matrix. Let be the signed sum of the determinants of the principal submatrices of of order , . We use similar techniques to Fiedler to show that Fiedler’s inequality can be strengthened to: , for all . We use this inequality to derive the inequality that: . In the spirit of a celebrated conjecture due to Boyle-Handelman,...
An inclusion region for the field of values of a doubly stochastic matrix based on its graph.
An inclusion region for the field of values of a doubly stochastic matrix based on its graph. (Short Communication).
An Inequality for Matrices
An inverse eigenvalue problem of Hermite-Hamilton matrices in structural dynamic model updating.
An iterative algorithm for computing the cycle mean of a Toeplitz matrix in special form
The paper presents an iterative algorithm for computing the maximum cycle mean (or eigenvalue) of triangular Toeplitz matrix in max-plus algebra. The problem is solved by an iterative algorithm which is applied to special cycles. These cycles of triangular Toeplitz matrices are characterized by sub-partitions of .
An observation about submatrices.
An operator-theoretic approach to truncated moment problems
We survey recent developments in operator theory and moment problems, beginning with the study of quadratic hyponormality for unilateral weighted shifts, its connections with truncated Hamburger, Stieltjes, Hausdorff and Toeplitz moment problems, and the subsequent proof that polynomially hyponormal operators need not be subnormal. We present a general elementary approach to truncated moment problems in one or several real or complex variables, based on matrix positivity and extension. Together...
An SVD approach to identifying metastable states of Markov chains.
An upper bound for the norm of a gcd-related matrix.
An upper bound of the reachability index for a special class of positive 2-D systems.
An upper bound on algebraic connectivity of graphs with many cutpoints.
Analysis of straightening formula.