On the Direct Solution of Preconditioned Linear Equations
On the economical solution method for a system of linear algebraic equations.
On the efficient update of rectangular LU-factorizations subject to low rank modifications.
On the LU Factorization of M-Matrices.
On the parallel solution of tridiagonal systems by wrap-around partitioning and incomplete LU factorization.
On the partitioned matrix and its associated system
On the solution of Cauchy systems of equations.
On the Stability of Finite Numerical Procedures.
On Updating Triangular Products of Householder Reflections.
Parallel and superfast algorithms for Hankel systems of equations.
Parallel cyclic odd-even reduction algorithms for solving general tridiagonal periodic systems on parallel computers
Parallel methods for solving the linear algebraic systems.
Parallel QR Decomposition of a Rectangular Matrix.
Parallel strategies for solving the FETI coarse problem in the PERMON toolbox
PERMON (Parallel, Efficient, Robust, Modular, Object-oriented, Numerical) is a newly emerging collection of software libraries, uniquely combining Quadratic Programming (QP) algorithms and Domain Decomposition Methods (DDM). Among the main applications are contact problems of mechanics. This paper gives an overview of PERMON and selected ingredients improving scalability, demonstrated by numerical experiments.
Partitioned Matrices and Seidel Convergence.
Pivoting algorithm in class of ABS methods
Summary: The paper deals with a pivoting modification of the algorithm in the class of ABS methods. Numerical experiments compare this pivoting modification with the fundamental version. A hybrid algorithm for the solution of the linear system with the Hankel matrix is introduced.
Pivoting Techniques for Symmetrie Gaussian Elimination.
Produits rapides matrice-vecteur en bases d'ondelettes : application à la résolution numérique d'équations aux dérivés partielles
QR Factorization of Toeplitz Matrices.
QR factorizations using a restricted set of rotations.