gibson:teaching:fall-2013:math445:lecture11
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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 |
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| The second script suggests a good initial guess for zeros of | The second script suggests a good initial guess for zeros of | ||
| - | the equation | + | the function |
| <latex> | <latex> | ||
| Line 42: | Line 42: | ||
| </latex> | </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> | <code> | ||
gibson/teaching/fall-2013/math445/lecture11.1381371921.txt.gz · Last modified: 2013/10/09 19:25 by gibson
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