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Buri
#1
Nov23-10, 12:37 PM
P: 273
In "Differential Equations, Dynamical Systems and Introduction to Chaos", the norm of the Jacobian matrix is defined to be:

|DF_x|
= sup |DF_x (U)|, where U is in R^n and F: R^n -> R^n and the |U| = 1 is under the sup.
...|U| = 1

DF_x (U) is the directional derivative of F in the direction of U. But I don't understand what this definition means?

Thanks
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