An iterative algorithm for solving a finite-dimensional linear operator equation with applications
โ Scribed by Jianguo Huang; Liwei Nong
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 187 KB
- Volume
- 432
- Category
- Article
- ISSN
- 0024-3795
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โฆ Synopsis
This paper proposes an iterative algorithm for solving a general finite-dimensional linear operator equation T (x) = f and demonstrates that it will get the exact solution within a finite number of iteration steps. This algorithm unifies all the iterative methods in Huang et al. (2008) [3], Peng (2005) [7] and Peng and Peng (2006) [8] and provides an iterative method for solving an inverse problem related to Hermitian-generalized Hamiltonian matrices [2,12].
๐ SIMILAR VOLUMES
We study an iterative method with order (1+ โ 2) for solving nonlinear operator equations in Banach spaces. Algorithms for specific operator equations are built up. We present the received new results of the local and semilocal convergence, in case when the first-order divided differences of a nonli