Partitioned multiply scaled pseudo conjugate gradient schemes
✍ Scribed by J. Padovan; L. Krishna; Y. H. Guo
- Book ID
- 104746157
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 891 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0178-7675
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✦ Synopsis
Through the introduction of multiple two parameter pairs of scaling factors, a modified formulation of the conjugate gradient scheme is derived. The individual pairs are separately assigned to the various substructure of a model so as to gauge the optimal local search direction and length. During the iteration process, this yields a succession of multiparameter dependent energy states. Seeking the appropriate minima, a vectorized multiparameter formulation of the conjugate gradient scheme is derived. Due to the manner of formulation, the scheme provides both global as well as substructural level orthogonality among successive iterates. To generahze the scheme, both pre and unpreconditioned versions are developed. Overall the methodology provides a potentially significant improvement in computational robustness. This is benchmarked in a series of numerical experiments.