Asynchronous iterations often converge under different conditions than their synchronous counterparts. In this paper we will study the global convergence of Jacobi-Newton-like methods for nonlinear equations F x = 0. It is a known fact, that the synchronous algorithm converges monotonically, if F is
Jacobi evolution of structure functions: convergence and stability
β Scribed by G. Shaw
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 238 KB
- Volume
- 675
- Category
- Article
- ISSN
- 0375-9474
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β¦ Synopsis
The Jacobi evolution method has been widely used in the QCD analysis of structure function data. However. a recent paper claims that there ~a~e serious problems with its convergence and stability. Here we briefly review the evidence for the adequate convergence of the method; and show that there are errors in the above paper which undermine its conclusions.
π SIMILAR VOLUMES
As an instrument for the study of the early stages of evolution, we introduce evolutive systems, defined as systems that have the capacity to evolve given appropriate conditions in their environment. They consist of building blocks (e.g. monomers) that are either stable or in steady supply, and of t