Backward Error Analysis for Totally Positive Linear Systems.
Base tensorielle des matrices de Hankel (ou de Toeplitz) Applications.
Block Factorization of Hankel Matrices and Euclidean Algorithm
It is shown that a real Hankel matrix admits an approximate block diagonalization in which the successive transformation matrices are upper triangular Toeplitz matrices. The structure of this factorization was first fully discussed in [1]. This approach is extended to obtain the quotients and the remainders appearing in the Euclidean algorithm applied to two polynomials u(x) and v(x) of degree n and m, respectively, whith m < ...
Bordered augmented linear systems in numerical continuation and bifurcation.
Brève communication. Inversion de matrices tridiagonales symétriques