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ABOUT
The Jacobi method is an iterative procedure for
discovering the solutions of a strictly diagonally
dominating system of linear equations in numerical
linear algebra
...
THE JACOBIAN
METHOD
ROHAN SETHI IPM03131
IPM03ROHANS@IIMROHTAK
...
IN
About Carl Gustav Jacob Jacobi
Carl Gustav Jacob Karl Gustav Jacob Jacobi was a German man of science who created
elementary contributions to elliptic functions, dynamics, differential equations, determinants, and
range theory
...
Carl Gustav Jacob Karl Gustav Jacob Jacobi
History Of Word Jacobian
Carl Gustav Jacob Jacobi (1804-1851), a German Jewish mathematician,
invented the Jacobian matrix
...
The
Jacobian matrix is a square matrix if m = n
...
JACOBIAN: If ‘U’ and ’V’ are two dependent variables and are two functions of
X and Y then Jacobian is two independent variables, viz the determinant of
partial derivative of ‘U’ and ’V’ with respect to ‘X’ and ‘Y’
...
To find functional relationship between two variables
Suppose, there are two functions
Say:
u=x+y
v=(x+y)2
;
Here,
U
X
V
Y
X
Y
Function U depends on X and Y, similarly function V depends on X and Y
Here,
If we are interested to know
1
...
then use of Jacobian method helps us to know about
this?
V
= U2
FUNCTIONAL RELATIONSHIP EXISTS
DEPENDENT
VARIABLE
INDEPENDENT
VARIABLE
J shall help us to know about this
2