Rehabilitation of the Gauss-Jordan Algorithm.
Remarks on the economic criterion - the Internal rate of return
The internal rate of return (IRR) together with the present value (PV) is used as a popular measure for financial project. When used appropriately, it can be a valuable aid in project acceptance or selection. The purpose of this article is to survey the facts about this criterion published so far. More, we investigate the cases of multiple or nonexistent IRRs and try to choose the relevant one and explain its economic meaning.
Resilient asynchronous primal Schur method
This paper introduces the application of asynchronous iterations theory within the framework of the primal Schur domain decomposition method. A suitable relaxation scheme is designed, whose asynchronous convergence is established under classical spectral radius conditions. For the usual case where local Schur complement matrices are not constructed, suitable splittings based only on explicitly generated matrices are provided. Numerical experiments are conducted on a supercomputer for both Poisson's...
Résolution de grands systèmes linéaires creux par méthodes itératives parallèles
Résolution parallèle de problèmes aux limites non linéaires
Resonance behaviour of the spherical pendulum damper
The pendulum damper modelled as a two degree of freedom strongly non-linear auto-parametric system is investigated using two approximate differential systems. Uni-directional harmonic external excitation at the suspension point is considered. Semi-trivial solutions and their stability are analyzed. The thorough analysis of the non-linear system using less simplification than it is used in the paper [2] is performed. Both approaches are compared and conclusions are drawn.
Restricted estimation in unbalanced factorial models: an APL programs package.
This paper describes a set of programs that provide researchers with restricted effect estimations in unbalanced factorial models when several weighing systems are imposed upon those models. The main program performing such an analysis is known as REUFM, and is written in APL⊗PLUS for IBM/PC microcomputers. An example is given in order to ilustrate the programs.
Robust preconditioners for the matrix free truncated Newton method
New positive definite preconditioners for the matrix free truncated Newton method are given. Corresponding algorithms are described in detail. Results of numerical experiments that confirm the efficiency and robustness of the preconditioned truncated Newton method are reported.