Superlinear convergence of symmetric Huang's class of methods
β Scribed by Andrzej Stachurski
- Publisher
- Springer-Verlag
- Year
- 1981
- Tongue
- English
- Weight
- 456 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
In this paper, we propose a new class of single-rank Quasi-Newton methods, called the class A of B-bounded rank-one updates, which are afline combinations of Pearson's method and a modified McCormick method, and prove the local superlinear convergence of this class of methods.
The algebraic origin of Huang's method and its generalizations (called the ABS methods) for solving determined or underdetermined linear systems (Ax = b) is explained and formulated in detail. This arises from the formulation based upon the recursive computation of a right inverse of A. The general