Differences

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--- gibson:teaching:fall-2013:math445:lecture11 [2013/10/09 19:25]
gibson
+++ gibson:teaching:fall-2013:math445:lecture11 [2013/10/09 19:27] (current)
gibson
@@ Line 35: / Line 35: @@
 The second script suggests a good initial guess for zeros of
-the equation
+the function
 <latex>
@@ Line 42: / Line 42: @@
 </latex>
-i.e. points $x$ for which $f(x) = 0$. The script plots contour lines near $f_1=0$ and $f_2=0$
+i.e. points $x$ for which $f(x) = 0$. The script plots contour lines near $f_1=0$ and $f_2=0$.
-near zero. The intersection of these curves are points where both $f_1$ and $f_2$ are nearly
+The intersection of these curves are points where both components of $f$ are near zero, and
-zero, and so serve as good guesses for a Newton search.
+so serve as good guesses for a Newton search.
 <code>

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