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On the convergence of block constrained nonlinear equation solversā
- Source :
- International Journal of Computer Mathematics. 29:169-179
- Publication Year :
- 1989
- Publisher :
- Informa UK Limited, 1989.
-
Abstract
- The shortcomings associated with successive substitution nonlinear solvers are circumvented by introducing a so-called block constraint methodology. Specifically, by partitioning the governing field equations into various subsets, constraints can be applied individually to each separate block. To illustrate the formal properties of the scheme, a series of lemmas and a theorem will be developed. These define its convergence properties. Due to the generality of the approach taken, virtually any form of functional constraint may be employed.
- Subjects :
- Method of successive substitution
Constraint (information theory)
Algebraic equation
Nonlinear system
Mathematical optimization
Computational Theory and Mathematics
Series (mathematics)
Applied Mathematics
Convergence (routing)
Computer Science Applications
Block (data storage)
Mathematics
Numerical stability
Subjects
Details
- ISSN :
- 10290265 and 00207160
- Volume :
- 29
- Database :
- OpenAIRE
- Journal :
- International Journal of Computer Mathematics
- Accession number :
- edsair.doi...........ef07ec77e276999d98edb54cdd154d82