On the convergence rate of the conjugate gradients in presence of rounding errors
Y Notay - Numerische Mathematik, 1993 - Springer
Numerische Mathematik, 1993•Springer
We investigate here rounding error effects on the convergence rate of the conjugate
gradients. More precisely, we analyse on both theoretical and experimental basis how finite
precision arithmetic affects known bounds on iteration numbers when the spectrum of the
system matrix presents small or large isolated eigenvalues.
gradients. More precisely, we analyse on both theoretical and experimental basis how finite
precision arithmetic affects known bounds on iteration numbers when the spectrum of the
system matrix presents small or large isolated eigenvalues.
Summary
We investigate here rounding error effects on the convergence rate of the conjugate gradients. More precisely, we analyse on both theoretical and experimental basis how finite precision arithmetic affects known bounds on iteration numbers when the spectrum of the system matrix presents small or large isolated eigenvalues.
Springer
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