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.
Separability of the characteristic polynomial
Separable characteristic polynomials of pencils and property .
Sequence enumeration.
Some aspects of Hankel matrices in coding theory and combinatorics.
Some bounds for the spectral radius of the Hadamard product of matrices.
Some new formulas for .
Some new lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse.
Some new results on determinantal inequalities and applications.
Some properties complementary to Brualdi-Li matrices
In this paper we derive new properties complementary to an Brualdi-Li tournament matrix . We show that has exactly one positive real eigenvalue and one negative real eigenvalue and, as a by-product, reprove that every Brualdi-Li matrix has distinct eigenvalues. We then bound the partial sums of the real parts and the imaginary parts of its eigenvalues. The inverse of is also determined. Related results obtained in previous articles are proven to be corollaries.
Some properties of the -adic Vandermonde matrix.
Some remarks on the solutions of the equality per. (Einige Bemerkungen über die Lösungen der Gleichung per.)
Some variations on the concept of the c-numerical range
SomeRremarks on a Combinatorial Problem
Spectral properties of a certain class of Carleman operators
The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of and then using the Stieltjes inversion formula.
Sulle forme polarizzanti i coefficienti del polinomio caratteristico di una matrice
The multilinear forms, obtained by polarizing the coefficients of the characteristic polynomial of a matrix, are considered. A general relation (formula A) between such forms is proved. It follows in particular a rational expression for the above-mentioned coefficients (formula C), which is in a sense analogous to Newton's formulas, but with the use of the determinant function instead of the trace function.
Sur la calculabilité des déterminants de matrices d'opérateurs différentiels
Sur la résultante de trois formes quadratiques ternaires