L. Verde-Star

activity

20102023

most citedAn algorithm for the Cartan-Dieudonné theorem on generalized scalar product spaces

18 citations · 18 across the 6 of their papers we have counts for

collaborators

Showing math.RAShow all

3 papers · 1 filter

math.RA2023

Linearization and connection coefficients of polynomial sequences: A matrix approach

Luis Verde-Star

For a sequence of polynomials ${p_{k} (t)}$ in one real or complex variable, where $p_{k}$ has degree $k$ , for $k \geq 0$ , we find explicit expressions and recurrence relations for infi…

math.RA2015

Elementary triangular matrices and inverses of $k$ -Hessenberg and triangular matrices

Luis Verde-Star

We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inv…

math.RA2010★ 18 cited

An algorithm for the Cartan-Dieudonné theorem on generalized scalar product spaces

M. A. Rodríguez-Andrade, G. Aragón-González, J. L. Aragón +1

We present an algorithmic proof of the Cartan-Dieudonné theorem on generalized real scalar product spaces with arbitrary signature. We use Clifford algebras to compute the factoriz…

Linearization and connection coefficients of polynomial sequences: A matrix approach

Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices

An algorithm for the Cartan-Dieudonné theorem on generalized scalar product spaces

Elementary triangular matrices and inverses of $k$ -Hessenberg and triangular matrices