Numerical tests are used to validate a practical estimatefor the optimal backward errors of linear least squares problems. Thissolves a thirty-year-old problem suggested by Stewart andWilkinson
AbstractA perturbation result concerning the upper and lower bounds on relative errors of solutions ...
AbstractWe show that backward errors and pseudospectra combined together are useful tools to assess ...
It is known that the computed least squares solution x of Ax=b, in the presence of the round-off err...
Numerical tests are used to validate a practical estimate for the optimal backward errors of linear...
. Recently, Higham and Wald'en, Karlson, and Sun have provided formulas for computing the best ...
This thesis is concerned with backward perturbation analyses of the linear least squares (LS) and re...
We derive an upper bound on the normwise backward error of an approximate solution to the equality c...
Because of the special structure of the equations $AX-XB=C$ the usual relation for linear equations...
Because of the special structure of the equations AX-XB=C the usual relation for linear equations "b...
In this thesis we consider error estimates for a family of iterative algorithms for solving the leas...
The Total Least Squares solution of an overdetermined, approximate linear equation Ax approx b minim...
AbstractThe normwise backward error of an approximate solution to the discrete-time algebraic Riccat...
International audienceIn this paper we are interested in computing linear least squares (LLS) condit...
Linear least squares (LLS) is a classical linear algebra problem in scientific computing, arising fo...
This paper addresses the problem of selecting the regularization parameter for linear least-squares ...
AbstractA perturbation result concerning the upper and lower bounds on relative errors of solutions ...
AbstractWe show that backward errors and pseudospectra combined together are useful tools to assess ...
It is known that the computed least squares solution x of Ax=b, in the presence of the round-off err...
Numerical tests are used to validate a practical estimate for the optimal backward errors of linear...
. Recently, Higham and Wald'en, Karlson, and Sun have provided formulas for computing the best ...
This thesis is concerned with backward perturbation analyses of the linear least squares (LS) and re...
We derive an upper bound on the normwise backward error of an approximate solution to the equality c...
Because of the special structure of the equations $AX-XB=C$ the usual relation for linear equations...
Because of the special structure of the equations AX-XB=C the usual relation for linear equations "b...
In this thesis we consider error estimates for a family of iterative algorithms for solving the leas...
The Total Least Squares solution of an overdetermined, approximate linear equation Ax approx b minim...
AbstractThe normwise backward error of an approximate solution to the discrete-time algebraic Riccat...
International audienceIn this paper we are interested in computing linear least squares (LLS) condit...
Linear least squares (LLS) is a classical linear algebra problem in scientific computing, arising fo...
This paper addresses the problem of selecting the regularization parameter for linear least-squares ...
AbstractA perturbation result concerning the upper and lower bounds on relative errors of solutions ...
AbstractWe show that backward errors and pseudospectra combined together are useful tools to assess ...
It is known that the computed least squares solution x of Ax=b, in the presence of the round-off err...