This text presents a description of the current state of modern iterative techniques together with systematic analysis. The first chapters discuss the classical methods. Comprehensive chapters are devoted to semi-iterative techniques (Chebyshev methods), transformations, incomplete decompositions, gradient and conjugate gradient methods, multi-grid methods and domain decomposition techniques (including the additive and multiplicative Schwartz method). All techniques are described algebraically, and each is illustrated by a ...
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This text presents a description of the current state of modern iterative techniques together with systematic analysis. The first chapters discuss the classical methods. Comprehensive chapters are devoted to semi-iterative techniques (Chebyshev methods), transformations, incomplete decompositions, gradient and conjugate gradient methods, multi-grid methods and domain decomposition techniques (including the additive and multiplicative Schwartz method). All techniques are described algebraically, and each is illustrated by a PASCAL program applicable to a class of model problems.
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