Eigenvalue Power Method (Example) | Lecture 31 | Numerical Methods for Engineers

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Jeffrey Chasnov

Jeffrey Chasnov

Күн бұрын

Illustration of the power method for computing the dominant eigenvalue and eigenvector of a matrix.
Join me on Coursera: imp.i384100.net/mathematics-f...
Lecture notes at www.math.ust.hk/~machas/numeri...
Paperback at www.amazon.com/Numerical-Meth...
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Пікірлер: 21
@pipertripp
@pipertripp 3 жыл бұрын
Nice introduction. I'm studying this subject now and this was a great intro prior to reading the section. Thanks!
@PREYAS_PATEL
@PREYAS_PATEL 2 жыл бұрын
Epic explanation. Wasn't able to understand it in class, did it here.
@bonbonpony
@bonbonpony Жыл бұрын
OK, now what about the other eigenvalue(s) and eigenvector(s)?
@yaknuelgh
@yaknuelgh Жыл бұрын
Which iteration are you to stop at?
@seydaesen3465
@seydaesen3465 6 ай бұрын
how did you find the eigenvector so quickly?
@kaylafang9611
@kaylafang9611 2 жыл бұрын
i am confused about where the X_0 comes from, didn't quite explain in this video. Wondering if X_0 can be just a random vector?
@ProGamer2017
@ProGamer2017 2 жыл бұрын
Yes, X_0 is a random vector
@alokkumarmishra6895
@alokkumarmishra6895 Жыл бұрын
How do you write laterally inverted characters?
@ProfJeffreyChasnov
@ProfJeffreyChasnov Жыл бұрын
kzfaq.info/get/bejne/jaiPdsSc1qvQgWQ.html
@randomationz5158
@randomationz5158 Жыл бұрын
I don't know how your filming this, but impressive
@ProfJeffreyChasnov
@ProfJeffreyChasnov Жыл бұрын
kzfaq.info/get/bejne/jaiPdsSc1qvQgWQ.html
@marckevencortidor3614
@marckevencortidor3614 10 ай бұрын
How will u know that u have to stop at x5
@ingiford175
@ingiford175 7 ай бұрын
You do not have to stop, you stop when your numbers get enough resolution that you want. if you went another one, you would get better precision.
@elsonboy1655
@elsonboy1655 4 ай бұрын
videonya bagus
@turuus5215
@turuus5215 2 жыл бұрын
Good video, thumbs up. But lambda 1 is the dominant eigenvalue, isn't it? how can we find lambda 2?
@martinopinto6323
@martinopinto6323 Жыл бұрын
u cant, this method is only for the bigger eig
@dr.ssivamanimaths464
@dr.ssivamanimaths464 11 ай бұрын
By using concept in Algebra we can find that, sum of the eigen values is lamda1+lamda2
@muubisgiller
@muubisgiller 6 ай бұрын
with inverse power method
@TheGameLix
@TheGameLix 2 жыл бұрын
1:50 I can't
@Tareq--ri6qe
@Tareq--ri6qe Жыл бұрын
❣️❣️❣️❣️
@allstar7778
@allstar7778 6 ай бұрын
After watching this, my mind is fucked.
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