What's Hessian matrix ?

1. Oct 28, 2009

abcdefg10645

What's Hessian matrix ???

Here are all my problem ~

1. What's Hessian matrix ?

2. How Hessian matrix was derived ?

2. Oct 28, 2009

Pinu7

Re: What's Hessian matrix ???

1. I hate latex, so for a function of n variables, f(x1,...,xn) which is differentiable twice the hessian of the function is defined as

2. It is a definition, it is not derived, however, there are some cool theorems with it such as an application to critical points.

3. Any GOOD book on multivariable and vector calculus.
EXAMPLES:
https://www.amazon.com/Vector-Calcu...=sr_1_1?ie=UTF8&s=books&qid=1256782912&sr=8-1

https://www.amazon.com/VECTOR-CALCU...=sr_1_3?ie=UTF8&s=books&qid=1256782943&sr=1-3

https://www.amazon.com/Calculus-Vol...=sr_1_1?ie=UTF8&s=books&qid=1256782991&sr=1-1

Last edited by a moderator: Apr 24, 2017
3. Oct 28, 2009

abcdefg10645

Re: What's Hessian matrix ???

To Pinu7~

Thank ur replying ~

And the reason I want to ask Hessian was that I heard that Hessian Matrix can be used while proving Taylor's expension for multivariable

How come is that ??