Numerical zeros of a nonnegative function?
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Suppose we have a function $f:mathbb{R}^{n}rightarrow mathbb{R}$ that satisfies $fleft(xright)geq 0$, for every $xinmathbb{R}^{n}$. What is the good numerical way of finding points $x_{0}inmathbb{R}^{n}$ that satisfies $fleft(x_{0}right) = 0$? One way is to minimize that function, but what are the other ways?
numerical-methods numerical-optimization
asked Dec 1 '18 at 8:33
AlemAlem
167110
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add a comment |
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Suppose we have a function $f:mathbb{R}^{n}rightarrow mathbb{R}$ that satisfies $fleft(xright)geq 0$, for every $xinmathbb{R}^{n}$. What is the good numerical way of finding points $x_{0}inmathbb{R}^{n}$ that satisfies $fleft(x_{0}right) = 0$? One way is to minimize that function, but what are the other ways?
numerical-methods numerical-optimization
asked Dec 1 '18 at 8:33
AlemAlem
167110
$endgroup$
$begingroup$
have you looked at the standard methods of root-finding, such as Netwton's method en.wikipedia.org/wiki/Newton%27s_method ?
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– Hayk
Dec 1 '18 at 10:24
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No, thanks for giving me idea.
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– Alem
Dec 1 '18 at 10:36
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Newton's method doesn't work too well when the slope at a solution is zero.
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– copper.hat
Dec 1 '18 at 21:55
add a comment |
$begingroup$
Suppose we have a function $f:mathbb{R}^{n}rightarrow mathbb{R}$ that satisfies $fleft(xright)geq 0$, for every $xinmathbb{R}^{n}$. What is the good numerical way of finding points $x_{0}inmathbb{R}^{n}$ that satisfies $fleft(x_{0}right) = 0$? One way is to minimize that function, but what are the other ways?
numerical-methods numerical-optimization
asked Dec 1 '18 at 8:33
AlemAlem
167110
$endgroup$
Suppose we have a function $f:mathbb{R}^{n}rightarrow mathbb{R}$ that satisfies $fleft(xright)geq 0$, for every $xinmathbb{R}^{n}$. What is the good numerical way of finding points $x_{0}inmathbb{R}^{n}$ that satisfies $fleft(x_{0}right) = 0$? One way is to minimize that function, but what are the other ways?
numerical-methods numerical-optimization
numerical-methods numerical-optimization
asked Dec 1 '18 at 8:33
AlemAlem
167110
asked Dec 1 '18 at 8:33
AlemAlem
167110
asked Dec 1 '18 at 8:33
AlemAlem
167110
asked Dec 1 '18 at 8:33
AlemAlem
167110
asked Dec 1 '18 at 8:33
AlemAlem
167110
167110
$begingroup$
have you looked at the standard methods of root-finding, such as Netwton's method en.wikipedia.org/wiki/Newton%27s_method ?
$endgroup$
– Hayk
Dec 1 '18 at 10:24
$begingroup$
No, thanks for giving me idea.
$endgroup$
– Alem
Dec 1 '18 at 10:36
$begingroup$
Newton's method doesn't work too well when the slope at a solution is zero.
$endgroup$
– copper.hat
Dec 1 '18 at 21:55
add a comment |
$begingroup$
have you looked at the standard methods of root-finding, such as Netwton's method en.wikipedia.org/wiki/Newton%27s_method ?
$endgroup$
– Hayk
Dec 1 '18 at 10:24
$begingroup$
No, thanks for giving me idea.
$endgroup$
– Alem
Dec 1 '18 at 10:36
$begingroup$
Newton's method doesn't work too well when the slope at a solution is zero.
$endgroup$
– copper.hat
Dec 1 '18 at 21:55
$begingroup$
have you looked at the standard methods of root-finding, such as Netwton's method en.wikipedia.org/wiki/Newton%27s_method ?
$endgroup$
– Hayk
Dec 1 '18 at 10:24
$begingroup$
have you looked at the standard methods of root-finding, such as Netwton's method en.wikipedia.org/wiki/Newton%27s_method ?
$endgroup$
– Hayk
Dec 1 '18 at 10:24
$begingroup$
No, thanks for giving me idea.
$endgroup$
– Alem
Dec 1 '18 at 10:36
$begingroup$
No, thanks for giving me idea.
$endgroup$
– Alem
Dec 1 '18 at 10:36
$begingroup$
Newton's method doesn't work too well when the slope at a solution is zero.
$endgroup$
– copper.hat
Dec 1 '18 at 21:55
$begingroup$
Newton's method doesn't work too well when the slope at a solution is zero.
$endgroup$
– copper.hat
Dec 1 '18 at 21:55
add a comment |
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$begingroup$
have you looked at the standard methods of root-finding, such as Netwton's method en.wikipedia.org/wiki/Newton%27s_method ?
$endgroup$
– Hayk
Dec 1 '18 at 10:24
$begingroup$
No, thanks for giving me idea.
$endgroup$
– Alem
Dec 1 '18 at 10:36
$begingroup$
Newton's method doesn't work too well when the slope at a solution is zero.
$endgroup$
– copper.hat
Dec 1 '18 at 21:55