##  [Nash–Moser Iteration](/index.php/nash-moser-iteration) 

  ##  [Nash–Moser Iteration](https://puremath.quantumdictionary.io/nash-moser-iteration-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An iterative inverse-function scheme designed for tame Fréchet spaces that combines Newton-type linearization with smoothing (loss-recovery) operators to overcome loss of derivatives and obtain solutions where the classical implicit-function theorem fails.