milestones in the development of iterative solution methods

Clicks: 141
ID: 128447
2010
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Abstract
Iterative solution methods to solve linear systems of equations were originally formulated as basic iteration methods of defect-correction type, commonly referred to as Richardson's iteration method. These methods developed further into various versions of splitting methods, including the successive overrelaxation (SOR) method. Later, immensely important developments included convergence acceleration methods, such as the Chebyshev and conjugate gradient iteration methods and preconditioning methods of various forms. A major strive has been to find methods with a total computational complexity of optimal order, that is, proportional to the degrees of freedom involved in the equation. Methods that have turned out to have been particularly important for the further developments of linear equation solvers are surveyed. Some of them are presented in greater detail.
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axelsson2010journalmilestones Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Owe Axelsson
Journal Molecular diversity
Year 2010
DOI
10.1155/2010/972794
URL
Keywords Keywords not found

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