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Convergence of partially asynchronous block quasi-Newton methods for nonlinear systems of equations

✍ Scribed by Jian-Jun Xu

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
720 KB
Volume
103
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, a partially asynchronous block Broyden method is presented for solving nonlinear systems of equations of the form F(x)= 0. Sufficient conditions that guarantee its local convergence are given. In particular, local convergence is shown when the Jacobian F'(x*) is an H-matrix, where x* is the zero point ofF. The results are extended to Schubert's method. A connection with discrete Schwarz alternating procedure is also shown. (~) 1999 Elsevier Science B.V. All rights reserved.

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