Sur le théorème de Stein-Rosenberg
Sur les Solutions extrémales d'un système incompatible d'équations
Sur l'extension de normes sur des algèbres de matrices.
Sur l'inversion de matrice
Sweeping preconditioners for elastic wave propagation with spectral element methods
We present a parallel preconditioning method for the iterative solution of the time-harmonic elastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In particular, the method leverages perfectly matched layer boundary conditions to efficiently approximate the Schur complement matrices of a block LDLT factorization. Both sequential and parallel versions of the algorithm are discussed and results for large-scale problems from exploration geophysics are presented....
Symmetric matrix polynomial equations
System of linear equations