This book presents the description of the state of modern iterative techniquestogether with systematic analysis. The first chapters discuss the classicalmethods... » 

This book presents the description of the state of modern iterative techniquestogether with systematic analysis. The first chapters discuss the classicalmethods. Comprehensive chapters are devoted to semiiterative techniquesChebyshev methods transformations incomplete decompositions gradient andconjugate gradient methods multigrid methods and domain decompositiontechniques including e.g. the additive and multiplicative Schwartz method. Incontrast to other books all techniques are described algebraically. Forinstance for the domain decomposition method this is a new but helpfulapproach. Every technique described is illustrated by a Pascal programapplicable to a class of model problem. «