Add to ORKGAbstractWe show that backward errors and pseudospectra combined together are useful tools to assess ...
Stochastic rounding (SR) offers an alternative to the deterministic IEEE-754 floating-point rounding...
The results of an error analysis of Gaussian elimination with partial pivoting for band systems of l...
In this paper we present the theoretical foundation of forward error analysis of numerical algorithm...
This paper presents some numerical simulations of rounding errors produced during evaluation of Cheb...
Methods of controlling round-off error in one-step methods in the numerical solution of ordinary dif...
AbstractThere exist several algorithms for the calculation of convergents of a continued fraction. W...
An emerging area of research is to automatically compute reasonably accurate upper bounds on numeric...
International audienceTraditional rounding error analysis in numerical linear algebra leads to backw...
The largest dense linear systems that are being solved today are of order $n = 10^7$. Single precis...
International audienceFloating-point arithmetic is a very efficient solution to perform computa-tion...
Because of the special structure of the equations AX-XB=C the usual relation for linear equations "b...
18 pages, 2 tables, 1 figureInternational audienceA longstanding problem related to floating-point i...
Because of the special structure of the equations $AX-XB=C$ the usual relation for linear equations...
International audienceRecently, stochastic rounding (SR) has been implemented in specialized hardwar...
AbstractWe show that backward errors and pseudospectra combined together are useful tools to assess ...
Stochastic rounding (SR) offers an alternative to the deterministic IEEE-754 floating-point rounding...
The results of an error analysis of Gaussian elimination with partial pivoting for band systems of l...
In this paper we present the theoretical foundation of forward error analysis of numerical algorithm...
This paper presents some numerical simulations of rounding errors produced during evaluation of Cheb...
Methods of controlling round-off error in one-step methods in the numerical solution of ordinary dif...
AbstractThere exist several algorithms for the calculation of convergents of a continued fraction. W...
An emerging area of research is to automatically compute reasonably accurate upper bounds on numeric...
International audienceTraditional rounding error analysis in numerical linear algebra leads to backw...
The largest dense linear systems that are being solved today are of order $n = 10^7$. Single precis...
International audienceFloating-point arithmetic is a very efficient solution to perform computa-tion...
Because of the special structure of the equations AX-XB=C the usual relation for linear equations "b...
18 pages, 2 tables, 1 figureInternational audienceA longstanding problem related to floating-point i...
Because of the special structure of the equations $AX-XB=C$ the usual relation for linear equations...
International audienceRecently, stochastic rounding (SR) has been implemented in specialized hardwar...
AbstractWe show that backward errors and pseudospectra combined together are useful tools to assess ...
Stochastic rounding (SR) offers an alternative to the deterministic IEEE-754 floating-point rounding...
The results of an error analysis of Gaussian elimination with partial pivoting for band systems of l...