On a class of positive semidefinite biquadratic forms. (Sur une classe de formes biquadratiques semi-définies positives.)
On a classic example in the nonnegative inverse eigenvalue problem.
On a Companion Operator for Analytic Functions.
On a conjecture regarding characteristic polynomial of a matrix pair.
On a criterion of D-stability for P-matrices
In this paper, we study positive stability and D-stability of P-matrices.We introduce the property of Dθ-stability, i.e., the stability with respect to a given order θ. For an n × n P-matrix A, we prove a new criterion of D-stability and Dθ-stability, based on the properties of matrix scalings.
On a decomposition of square matrices over a ring with identity.
On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices
The joint spectral radius of a finite set of real matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous work with K. G. Hare and J. Theys we showed that for a certain one-parameter family of pairs of matrices, this maximum possible rate of growth is attained along Sturmian sequences with a certain characteristic ratio which depends continuously upon the parameter. In this note we answer some open questions from that paper...
On a direct method for the solution of nearly uncoupled Markov chains.
On a generalization of de Rham lemma
Let be a free module over a noetherian ring. For , let be the ideal generated by coefficients of . For an element with , if , there exists such that .This is a generalization of a lemma on the division of forms due to de Rham (Comment. Math. Helv., 28 (1954)) and has some applications to the study of singularities.
On a generalization of the Narayana triangle.
On a generalization of the Van Der Waerden conjecture
On a Generalized Linear Boundary Value Problem
On a geometric property of positive definite matrices cone.
On a group of mixed-type reverse-order laws for generalized inverses of a triple matrix product with applications.
On a -polar decomposition of a bounded operator and matrices of -symmetric and -skew-symmetric operators.
On a mean value theorem in the class of Herglotz functions and its applications.
On a new class of structured matrices related to the discrete skew-self-adjoint Dirac systems.
On a nonnegative irreducible matrix that is similar to a positive matrix
Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.
On a question of Hills concerning co-transposers
On a result of Williamson.