Pre-Engineering 220 Introduction to MatLab ® & Scientific Programming j kiefer
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b.
The Method
The Newton-Raphson method for simultaneous equations involves evaluating
the derivative matrix
,
, whose
elements are defined to be
.
If the inverse
exists, then we can generate a sequence of approximations for the roots of functions {
f
i
}.
At
each step
, all the partial derivatives
must be evaluated and the
matrix inverted.
The iteration continues until
all
the
. If the
inverse matrix does not exist
, then the method fails.
If the number of equations
,
n
,
is more than a handful
, the method becomes very cumbersome and time consuming.
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physics -> Photometer and Optical Link Purpose
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physics -> Teacher Notes – Activity 14: Momentum in Collisions
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, whose 
. 
exists, then we can generate a sequence of approximations for the roots of functions {fi}.
. If the