implicit function theorem
Theorem.
Let be an open subset of and let . Let . If the matrix defined by
is invertible, then there exists a neighborhood of and a function such that
Moreover
Title | implicit function theorem |
---|---|
Canonical name | ImplicitFunctionTheorem |
Date of creation | 2013-03-22 12:58:33 |
Last modified on | 2013-03-22 12:58:33 |
Owner | azdbacks4234 (14155) |
Last modified by | azdbacks4234 (14155) |
Numerical id | 12 |
Author | azdbacks4234 (14155) |
Entry type | Theorem |
Classification | msc 26B10 |
Related topic | FlowBoxTheorem |
Related topic | DerivativeAsParameterForSolvingDifferentialEquations |