Iterative methods for the numerical solution of the boundary value problem of elasticity [Abstract of thesis]
Iterative methods with analytical preconditioning technique to linear complementarity problems: application to obstacle problems
For solving linear complementarity problems LCP more attention has recently been paid on a class of iterative methods called the matrix-splitting. But up to now, no paper has discussed the effect of preconditioning technique for matrix-splitting methods in LCP. So, this paper is planning to fill in this gap and we use a class of preconditioners with generalized Accelerated Overrelaxation (GAOR) methods and analyze the convergence of these methods for LCP. Furthermore, Comparison between our methods...
Iterative Nachverbesserung mit Fehlereingrenzung der Cholesky-Faktoren von Stieltjes-Matrizen.
Iterative solution of rectangular systems of linear algebraic equations
Joint domain-decomposition -LU preconditioners for saddle point problems.
Krylov subspace spectral methods for variable-coefficient initial-boundary value problems.
L'affectation exponentielle et le problème du plus court chemin dans un graphe
Lanczos-like algorithm for the time-ordered exponential: The -inverse problem
The time-ordered exponential of a time-dependent matrix is defined as the function of that solves the first-order system of coupled linear differential equations with non-constant coefficients encoded in . The authors have recently proposed the first Lanczos-like algorithm capable of evaluating this function. This algorithm relies on inverses of time-dependent functions with respect to a non-commutative convolution-like product, denoted by . Yet, the existence of such inverses, crucial to...
Ljusternik acceleration and the extrapolated S.O.R. method
LMS-Newton adaptive filtering using FFT-based conjugate gradient iterations.
Local approximation estimators for algebraic multigrid.
Local refinement techniques for elliptic problems on cell-centered grids. III. Algebraic multilevel BEPS preconditioners.
Low-rank iterative methods for projected generalized Lyapunov equations.
Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part II: Mixed-hybrid finite element solution
The swelling and shrinkage of biological tissues are modelled by a four-component mixture theory [J.M. Huyghe and J.D. Janssen, Int. J. Engng. Sci.35 (1997) 793–802; K. Malakpoor, E.F. Kaasschieter and J.M. Huyghe, Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part I: Modeling of incompressible charged porous media. ESAIM: M2AN41 (2007) 661–678]. This theory results in a coupled system of nonlinear parabolic differential equations together with an algebraic...
Matrix computation and the theory of moments.
Matrix splitting principles.
Matrix splitting principles.
Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators
A mesh independent bound is given for the superlinear convergence of the CGM for preconditioned self-adjoint linear elliptic problems using suitable equivalent operators. The results rely on K-condition numbers and related estimates for compact Hilbert-Schmidt operators in Hilbert space.
Méthodes de projection-minimisation pour les problèmes linéaires
Metoda konjugovaných gradientů jako dobrodružství jdoucí přes staletí
Metoda konjugovaných gradientů a Lanczosova metoda tvoří historický a metodologický základ tzv. metod krylovovských podprostorů pro numerickou aproximaci řešení lineárních rovnic a částečnou aproximaci spektra lineárních operátorů. Ačkoliv jsou v obecném povědomí spojovány především s numerickým řešením velmi rozsáhlých soustav lineárních algebraických rovnic a aproximací vlastních čísel velkých matic, je přirozené uvažovat jejich formulaci v kontextu operátorů na Hilbertových prostorech (konečné...