Iterative Methods for Linear Systems÷offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning.÷÷
Mathematics of Computing -- General.
Mathematics of Computing -- Numerical Analysis.
This is the first book to be published on nonlinear equations since the mid-1980s. Although it stresses recent developments in this area, such as Newton-Krylov methods, considerable material on linear equations has been incorporated.
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.
Since the first edition of this book was published in 1996, tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems.
Applied Iterative Methods
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 ...
This book will be of interest to students and practitioners in the fields of computer science and applied mathematics.
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 ...
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