Iterative Methods for Large Linear Systems contains a wide spectrum of research topics related to iterative methods, such as searching for optimum parameters, using hierarchical basis preconditioners, utilizing software as a research tool, and developing algorithms for vector and parallel computers. This book provides an overview of the use of iterative methods for solving sparse linear systems, identifying future research directions in the mainstream of modern scientific computing with an eye to contributions of the past, present, and future. Different iterative algorithms that include the successive overrelaxation (SOR) method, symmetric and unsymmetric SOR methods, local (ad-hoc) SOR scheme, and alternating direction implicit (ADI) method are also discussed. This text likewise covers the block iterative methods, asynchronous iterative procedures, multilevel methods, adaptive algorithms, and domain decomposition algorithms. This publication is a good source for mathematicians and computer scientists interested in iterative methods for large linear systems.
This book will be of interest to students and practitioners in the fields of computer science and applied mathematics.
Mathematics of Computing -- General.
For more general Bi - CGSTAB ( C ) schemes see [ 174 , 177 ] . xo is an initial guess , ro = b – Axo Choose ro , for example ro = r po = 1 , u = 0 , a = 0 , W2 = 1 for i = 0 , 2 , 4 , 6 , .... Po = -02P0 even Bi - CG step : Pi = ( ro ...
... AND X.-Q. JIN, Strang-type preconditioners for systems oflmfbased ODE codes, IMA J. Numer. Anal., 21 (2001), pp. 451–462. (Cited on p. 97) [56] R. H.-F. CHAN AND X.-Q. JIN, An Introduction to Iterative Toeplitz Solvers, vol.
... and Dušan D. Repovš A Practical Guide to Geometric Regulation for Distributed Parameter Systems Eugenio Aulisa and David Gilliam Reconstruction from Integral Data, Victor Palamodov Signal Processing: A Mathematical Approach, ...
Mathematics of Computing -- Numerical Analysis.
In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist.
This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations.
Applied Iterative Methods
This book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics.