Four Variational Formulations of the Contraharmonic Mean of Operators
β Scribed by Green, W. L.; Morley, T. D.
- Book ID
- 118213042
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1987
- Weight
- 272 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0196-5212
- DOI
- 10.1137/0608055
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π SIMILAR VOLUMES
In this paper we solve the inverse mean problem of contraharmonic and geometric means of positive definite matrices (proposed in [W.
## Abstract A duality between two formulations of variational assimilation, threeβdimensionsal (3DβVar) and the Physicalspace Statistical Analysis System (PSAS), is presented. It is shown that their conditioning is identical. the temporal extension of 3DβVar leads to 4DβVar. the temporal extension
We argue that there are four basic forms of the variational principles of mechanics: Hamilton's least action principle (HP), the generalized Maupertuis principle (MP), and their two reciprocal principles, RHP and RMP. This set is invariant under reciprocity and Legendre transformations. One of these