Find the cube root of 9, using the Newton's method.

ivybeibeidn
2022-09-07
Answered

Find the cube root of 9, using the Newton's method.

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Jase Powell

Answered 2022-09-08
Author has **11** answers

Find the cube root of 9, using the Newton's method.

asked 2022-09-27

Why the bisection method is slower than Newton's method from a complexity point of view?

asked 2022-09-23

Consider the function $f(x,y)=5{x}^{2}+5{y}^{2}-xy-11x+11y+11$. Consider applying Newton's Method for minimizing f. How many iterations are needed to reach the global minimum point?

asked 2022-08-30

Can Newton's method be used to guarantee convergence to a global minimum or maximum?

asked 2022-09-25

To find approximate $\sqrt{a}$ we can use Newton's method to approximately solve the equation ${x}^{2}-a=0$ for $x$, starting from some rational ${x}_{0}$.

Newton's method in general is only locally convergent, so we have to be careful with initialization.

Show that in this case, the method always converges to something if ${x}_{0}\ne 0$.

Newton's method in general is only locally convergent, so we have to be careful with initialization.

Show that in this case, the method always converges to something if ${x}_{0}\ne 0$.

asked 2022-07-19

Use Newton's method to find the roots of

$2{x}^{3}-9{x}^{2}+12x+15$

for $x=3$, $x<-3$, and $x>3$.

$2{x}^{3}-9{x}^{2}+12x+15$

for $x=3$, $x<-3$, and $x>3$.

asked 2022-11-08

Prove that Newton's Method applied to $f(x)=ax+b$ converges in one step? Would it be because the derivative of $f(x)$ is simply $a$?

asked 2022-07-20

If we are using Newton's method (or gradient descent), how do we find a maximum instead of a minimum?