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The Hessian of a function (denoted <math>F(x_1, x_2, \cdots , x_n)</math>) is the multivariate equivalent to the second derivative of a single variable function. Similar to the [[gradient_Old Kiwi]] of a multivariate function, the Hessian is a square matrix where each entry is the composite of two partial differentiations. For a function <math>f(x_1, x_2, \cdots , x_n)</math>,  the Hessian is defined as:
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The Hessian of a function (denoted <math>F(x_1, x_2, \cdots , x_n)</math>) is the multivariate equivalent to the second derivative of a single variable function. Similar to the [[gradient_Old Kiwi| Gradient]] of a multivariate function, the Hessian is a square matrix where each entry is the composite of two partial differentiations. For a function <math>f(x_1, x_2, \cdots , x_n)</math>,  the Hessian is defined as:
  
 
[[Image:Hessian_Old Kiwi.png]]
 
[[Image:Hessian_Old Kiwi.png]]
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This page was contributed by [[User:Srudolph|Stephen]]. Enjoy!
  
 
[[Category:Linear Algebra]]
 
[[Category:Linear Algebra]]

Latest revision as of 13:20, 2 April 2010

The Hessian of a function (denoted $ F(x_1, x_2, \cdots , x_n) $) is the multivariate equivalent to the second derivative of a single variable function. Similar to the Gradient of a multivariate function, the Hessian is a square matrix where each entry is the composite of two partial differentiations. For a function $ f(x_1, x_2, \cdots , x_n) $, the Hessian is defined as:

Hessian Old Kiwi.png


This page was contributed by Stephen. Enjoy!

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