A note on algorithms for determining the copositivity of a given symmetric matrix.
A note on certain ergodicity coeflcients
We investigate two ergodicity coefficients ɸ ∥∥ and τn−1, originally introduced to bound the subdominant eigenvalues of nonnegative matrices. The former has been generalized to complex matrices in recent years and several properties for such generalized version have been shown so far.We provide a further result concerning the limit of its powers. Then we propose a generalization of the second coefficient τ n−1 and we show that, under mild conditions, it can be used to recast the eigenvector problem...
A Note on Chessboard Matrices
A note on consecutive ones in a binary matrix.
A note on estimates for the spectral radius of a nonnegative matrix.
A Note on Extreme Positive Definite Matrices.
A note on Fibonacci matrices of even degree.
A note on generalized Perron complements of -matrices.
A note on indecomposability of Boolean matrices
A note on involutory automorphisms of and the use of algebraically independent numbers for the construction of diagonable matrices
A note on Kantorovich inequality for Hermite matrices.
A note on majorization transforms and Ryser’s algorithm
The notion of a transfer (or T -transform) is central in the theory of majorization. For instance, it lies behind the characterization of majorization in terms of doubly stochastic matrices. We introduce a new type of majorization transfer called L-transforms and prove some of its properties. Moreover, we discuss how L-transforms give a new perspective on Ryser’s algorithm for constructing (0; 1)-matrices with given row and column sums.
A note on minimum rank and maximum nullity of sign patterns.
A note on Newton and Newton-like inequalities for -matrices and for Drazin inverses of -matrices.
A note on nonnegative matrices
A note on regularity and positive definiteness of interval matrices
We present a sufficient regularity condition for interval matrices which generalizes two previously known ones. It is formulated in terms of positive definiteness of a certain point matrix, and can also be used for checking positive definiteness of interval matrices. Comparing it with Beeck’s strong regularity condition, we show by counterexamples that none of the two conditions is more general than the other one.
A note on symetric matrices
A note on symplectic block reflectors.
A note on the convexity of the realizable set of eigenvalues for nonnegative symmetric matrices.
A note on the cp-rank of matrices generated by Soules matrices.