Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions.
Determinant preserving transformations on symmetric matrix spaces.
Determinant Representations of Sequences: A Survey
This is a survey of recent results concerning (integer) matrices whose leading principal minors are well-known sequences such as Fibonacci, Lucas, Jacobsthal and Pell (sub)sequences. There are different ways for constructing such matrices. Some of these matrices are constructed by homogeneous or nonhomogeneous recurrence relations, and others are constructed by convolution of two sequences. In this article, we will illustrate the idea of these methods by constructing some integer matrices of this...
Determinantal generating functions of colored spanning forests.
Determinantal representation of inverses and solution of linear systems
Determinantally homogeneous polynomials on representations of Euclidean Jordan algebras.
Determinante de Vandermonde generalizado.
Determinants and inverses of circulant matrices with complex Fibonacci numbers
Let ℱn = circ (︀F*1 , F*2, . . . , F*n︀ be the n×n circulant matrix associated with complex Fibonacci numbers F*1, F*2, . . . , F*n. In the present paper we calculate the determinant of ℱn in terms of complex Fibonacci numbers. Furthermore, we show that ℱn is invertible and obtain the entries of the inverse of ℱn in terms of complex Fibonacci numbers.
Déterminants de Hankel du quotient de deux séries entières
Déterminants de Hankel et quotients de séries formelles
Déterminants et intégrales de Fresnel
On présente ici une approche directe et géométrique pour le calcul des déterminants d’opérateurs de type Schrödinger sur un graphe fini. Du calcul de l’intégrale de Fresnel associée, on déduit le déterminant. Le calcul des intégrales de Fresnel est grandement facilité par l’utilisation simultanée du théorème de Fubini et d’une version linéaire du calcul symbolique des opérateurs intégraux de Fourier. On obtient de façon directe une formule générale exprimant le déterminant en terme des conditions...
Determinants of (–1,1)-matrices of the skew-symmetric type: a cocyclic approach
An n by n skew-symmetric type (-1; 1)-matrix K =[ki;j ] has 1’s on the main diagonal and ±1’s elsewhere with ki;j =-kj;i . The largest possible determinant of such a matrix K is an interesting problem. The literature is extensive for n ≡ 0 mod 4 (skew-Hadamard matrices), but for n ≡ 2 mod 4 there are few results known for this question. In this paper we approach this problem constructing cocyclic matrices over the dihedral group of 2t elements, for t odd, which are equivalent to (-1; 1)-matrices...
Determinants of knots and Diophantine equations
Determinants of Legendre symbol matrices
Determinants of matrices related to the Pascal triangle
The aim of this paper is to study determinants of matrices related to the Pascal triangle.
Determinants of multiplicative Toeplitz matrices
Determinatenabschätzung für binäre Matrizen mit n ... 3 mod 4.
Determination of the structure of algebraic curvature tensors by means of Young symmetrizers.
Diagonal and von Neumann regular matrices over a Dedekind domain.
Diagonal reductions of matrices over exchange ideals
In this paper, we introduce related comparability for exchange ideals. Let be an exchange ideal of a ring . If satisfies related comparability, then for any regular matrix , there exist left invertible and right invertible such that for idempotents .