O definici determinantu
O Hadamardově determinantu
Odvození základních vzorců sférické trigonometrie pomocí některých pouček determinantních
On a conjecture regarding characteristic polynomial of a matrix pair.
On a generalization of the Narayana triangle.
On a generalization of the Van Der Waerden conjecture
On a result of Williamson.
On a theorem of Everitt, Thompson, and de Pillis
On an extension of Fekete’s lemma
We show that if a real non-singular matrix () has all its minors of order non-negative and has all its minors of order which come from consecutive rows non-negative, then all th order minors are non-negative, which may be considered an extension of Fekete’s lemma.
On an inequality involving power and contraction of matrices with and without trace.
On certain generalized circulant matrices.
On conditional independence and log-convexity
If conditional independence constraints define a family of positive distributions that is log-convex then this family turns out to be a Markov model over an undirected graph. This is proved for the distributions on products of finite sets and for the regular Gaussian ones. As a consequence, the assertion known as Brook factorization theorem, Hammersley–Clifford theorem or Gibbs–Markov equivalence is obtained.
On Definiteness Of Certain Matrix Functions Of A Matrix
On determinant preservers over skew fields.
On dimension formulas for representations.
On Gaussian conditional independence structures
The simultaneous occurrence of conditional independences among subvectors of a regular Gaussian vector is examined. All configurations of the conditional independences within four jointly regular Gaussian variables are found and completely characterized in terms of implications involving conditional independence statements. The statements induced by the separation in any simple graph are shown to correspond to such a configuration within a regular Gaussian vector.
On Hallian digraphs, permanents and transversals
On matrix groups defined by certain polynomial identities
On means of positive definite matrices
On Projections in the Symmetric Power Space.