Formes bilinéaires compatibles avec un système
Formes multilinéaires alternées
Formes quadratiques d'enlacement sur l'anneau des entiers d'un corps de nombres
Formes quadratiques et algèbres quadratiques
Formes quadratiques et formes non traciques sur les espaces de dimension dénombrable
Formes quadratiques multiplicatives et variétés algébriques
Formes quadratiques réelles semi-définies. Démonstration élémentaire du critère des mineurs principaux.
Formes quadratiques sur un semi-groupe involutif.
Forms of the Cayley-Hamilton theorem for generalized systems.
Formulae for General Reproductive Solutions of Certain Matrix Equations
Forty necessary and sufficient conditions for regularity of interval matrices: A survey.
Freie Auflösungen äusserer Potenzen.
Fröhlich's local quadratic forms.
From Eckart and Young approximation to Moreau envelopes and vice versa
In matricial analysis, the theorem of Eckart and Young provides a best approximation of an arbitrary matrix by a matrix of rank at most r. In variational analysis or optimization, the Moreau envelopes are appropriate ways of approximating or regularizing the rank function. We prove here that we can go forwards and backwards between the two procedures, thereby showing that they carry essentially the same information.
From equivalent linear equations to Gauss-Markov theorem.
From geometry to invertibility preservers
We characterize bijections on matrix spaces (operator algebras) preserving full rank (invertibility) of differences of matrix (operator) pairs in both directions.
Full rank factorization and the Flanders theorem.
Further determinant identities related to classical root systems
By introducing polynomials in matrix entries, six determinants are evaluated which may be considered extensions of Vandermonde-like determinants related to the classical root systems.
Further results on the Craig-Sakamoto equation.
Further results on the reverse order law for -inverse and -inverse of a matrix product.