Sur la réduction des déterminants des matrices de Jacobi d'un type spécial avec l'application à la recherche de leurs valeurs propres
Sur le calcul des produits de matrices.
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
Tchebyshev Acceleration Technique for Large Scale Nonsymmetric Matrices.
Teoría de sistemas de infinitas ecuaciones lineales y programación semi-infinita.
Testing the method of multiple scales and the averaging principle for model parameter estimation of quasiperiodic two time-scale models
Some dynamical systems are characterized by more than one time-scale, e.g. two well separated time-scales are typical for quasiperiodic systems. The aim of this paper is to show how singular perturbation methods based on the slow-fast decomposition can serve for an enhanced parameter estimation when the slowly changing features are rigorously treated. Although the ultimate goal is to reduce the standard error for the estimated parameters, here we test two methods for numerical approximations of...
The AB-algorithm and its properties
The Analysis of a Nested Dissection Algorithm.
The Analysis of k-Step Iterative Methods for Linear Systems from Summability Theory
The analytic SVD: on the non-generic points on the path.
The anti-symmetric ortho-symmetric solutions of the matrix equation XA=D.
The Bauer Fields of Values of a Matrix.
The Chebyshev Solution of Certain Matrix Equations.
The Chebyshev Solution of the Linear Matrix Equation AX + YB = C.