Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online lexicon:

Linear Iteration Method

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview
In case of a linear iteration procedure the solution of a LSE $ Ax=b$ is approximated by a sequence of approximating solutions

$\displaystyle x_{\ell} = Q x_{\ell-1} + p,\quad \ell=1,2,\ldots, $

where $ x$ is a solution of the LSE if and only if $ x$ is a fixpoint of the iteration map, that is, if $ x = Qx$.

see also:

  automatically generated 4/24/2007