Lecture 14
–
October 12, 2010
Agenda:
•
Solving systems of non-linear equations
Newton-Raphson (multiple equation version)
•
MATLAB built-in root finding methods
fzero
(any function)
roots
(any polynomial)

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Systems of Non-linear Equations
•
Often, we’ll need to solve more than one non
-linear
equation simultaneously:
•
We need to find
n
unknowns (
x
1
to
x
n
) that result in
all
n
equations (
f
1
to
f
n
) equaling zero
1
1
2
2
1
2
1
2
,
,...,
0
,
,...,
0
,
,...,
0
n
n
n
n
f
x
x
x
f
x
x
x
f
x
x
x