Newton's Method
0.0(0)
Studied by 0 people
Call Kai
Learn
Practice Test
Spaced Repetition
Match
Flashcards
Knowt PlayCard Sorting
1/8
There's no tags or description
Looks like no tags are added yet.
Last updated 2:55 AM on 4/28/26
Name | Mastery | Learn | Test | Matching | Spaced | Call with Kai |
|---|
No analytics yet
Send a link to your students to track their progress
9 Terms
1
New cards
Convergence Behavior
Converges quadratically (error drops dramatically each step) when initial guess is reasonably close
Shape of the convergence is the same, even with bad guesses
2
New cards
Why Linear Problems Converge in One Step
If the function is linear, jacobian is constant = solving for the 0 in one step
3
New cards
Linear Convergence happens when…
The root has multiplicity 1 when (x-a)^n, n =1, then the derivative vanishes
4
New cards
No real solution occurs when…
We divide by 0 or diverge
5
New cards
Newton’s method breaks when…
Jacobian / f’(x) = 0
No real solutions
Really bad guess
6
New cards
Taylor Series of 2D Newton’s
7
New cards
Newton’s Method for 2D
8
New cards
Taylor Expansion for 3D Newtons
9
New cards
Newton’s Method for 3D
