Sponsored links: Algebra eBooks
 

Help Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

The Maxima on-line user's manual

Algebra Calculator

Search:

Hessian Calculator

Hessian

Function: hessian (<f>, <x>) Returns the Hessian matrix of <f> with respect to the list of variables <x>. The (i, j)-th element of the Hessian matrix is diff(<f>, <x>[i], 1, <x>[j], 1).

factor(determinant(hessian(x*x/(v*(c-w*v)^a),[w,v])));

Examples:

          (%i1) hessian (x * sin (y), [x, y]);
                               [   0       cos(y)   ]
          (%o1)                [                    ]
                               [ cos(y)  - x sin(y) ]
          (%i2) depends (F, [a, b]);
          (%o2)                       [F(a, b)]
          (%i3) hessian (F, [a, b]);
                                  [   2      2   ]
                                  [  d F    d F  ]
                                  [  ---   ----- ]
                                  [    2   da db ]
                                  [  da          ]
          (%o3)                   [              ]
                                  [   2      2   ]
                                  [  d F    d F  ]
                                  [ -----   ---  ]
                                  [ da db     2  ]
                                  [         db   ]

(%o1)                                true
(%i2) 

Hessian Example

Related Examples

hessian

eq1:hessian(x*Y-z,[x,...

Calculate

hessian

hessian (1/(x^2 + y^2...

Calculate

hessian

hessian((x+2*y)^2 +(x...

Calculate

hessian-sin

hessian (x * sin (2*y...

Calculate

hessian

hessian((e^(x^2-y^2)-...

Calculate

hessian-integrate

f1(t):= 2*c + 6*d*t +...

fun(t):= integrate(f1...

H : hessian(fun(t),[a...

Calculate

hessian-invert-log-matrix

m: hessian(-4*x-5*y-1...

x:5;

y:10;

Calculate

hessian

hessian ((x-2)^2+(y-1...

Calculate

hessian

f(x,y):=4*x^2+9*y^2+1...

jacobiana:jacobian([f...

Hessiana:hessian([f(x...

Calculate

hessian-log

hessian (log(x), [x, ...

hessian (F, [a, b]);

Calculate