An implicit function theorem
β Scribed by K. Jittorntrum
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 117 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0022-3239
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We prove uniformly computable versions of the Implicit Function Theorem in its differentiable and nonβdifferentiable forms. We show that the resulting operators are not computable if information about some of the partial derivatives of the implicitly defining function is omitted. Finall
In this paper, we focus attention on the problem of to what extent abstract Banach space concepts can be utilized in order to simplify well-known formulas for the power series expansion of an implicitly defined holomorphic mapping in the Ε½ finite-dimensional case. The formulas obtained in the previo