Polytopes secondaires et discriminants
Power of a determinant with two physical applications.
Příspěvek k theorii determinantů
Příspěvek k theorii podřízených determinantů
Products of -matrices and nested sequences of principal minors.
Proof of a determinant evaluation conjectured by Bombieri, Hunt and van Poorten.
Properties of the determinant of a rectangular matrix
In this paper we present new identities for the Radić’s determinant of a rectangular matrix. The results include representations of the determinant of a rectangular matrix as a sum of determinants of square matrices and description how the determinant is affected by operations on columns such as interchanging columns, reversing columns or decomposing a single column
Propriétés de moindres carrés de la matrice de covariance d'un vecteur aléatoire et applications statistiques
Quelques remarques sur les résultats de Tutte concernant le problème de Ulam
Ranks of permutative matrices
A new type of matrix, termed permutative, is defined and motivated herein. The focus is upon identifying circumstances under which square permutative matrices are rank deficient. Two distinct ways, along with variants upon them are given. These are a special kind of grouping of rows and a type of partition in which the blocks are again permutative. Other, results are given, along with some questions and conjectures.
Rayon de la sphère circonscrite au tétraèdre en fonction des arêtes
Reachability matrices and cyclic matrices.
Recent trends on analytic properties of matrix orthonormal polynomials.
Recounting determinants for a class of Hessenberg matrices.
Rectangular Scott-type permanents.
Reducing the adjacency matrix of a tree.
Remarks on inverse of matrix polynomials
Analysis of a non-classically damped engineering structure, which is subjected to an external excitation, leads to the solution of a system of second order ordinary differential equations. Although there exists a large variety of powerful numerical methods to accomplish this task, in some cases it is convenient to formulate the explicit inversion of the respective quadratic fundamental system. The presented contribution uses and extends concepts in matrix polynomial theory and proposes an implementation...
Sätze über Determinanten und Anwendung derselben zum Beweise der Sätze von Pascal und Brianchon.
Schur complements of diagonally dominant matrices
Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of matrices.