Title: Iterative solution of large sparse systems of equations
Description: This book presents the description of the 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 e.g. the additive and multiplicative Schwartz method). In contrast to other books all techniques are described algebraically. For instance, for the domain decomposition method this is a new but helpful approach. Every technique described is illustrated by a Pascal program applicable to a class of model problem.
Subjects: Iterative methods (Mathematics), Numerical solutions, Partial Differential equations, Sparse matrices, Differential equations, partial, numerical solutions, Numerical analysis, Mathematics, PASCAL, Numerisches Verfahren, Iteration, Schwach besetzte Matrix, Matrix theory, Algebra