idea of GMRES as Krylov subspace method

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Daniel An

Daniel An

Күн бұрын

Пікірлер: 13
@sijiazhou6782
@sijiazhou6782 2 жыл бұрын
Thank you for your explanation. It is clear and logical
@suryanshvarshney111
@suryanshvarshney111 2 ай бұрын
man, why did the video ended abruptly? what about the rest?
@chainehistoire7616
@chainehistoire7616 2 жыл бұрын
Thank you, the method is much more clear now Is it normal that the video ends before the explanation is finished?
@WhatTheGuiz
@WhatTheGuiz 5 жыл бұрын
Too bad the video stops before we get to know the method to calculate those y vectors. Very helpful video nonetheless
@thesuperintendentoffugues1144
@thesuperintendentoffugues1144 4 жыл бұрын
What is h_kj ?
@daniel_an
@daniel_an 4 жыл бұрын
It the orthogonal (scalar) projection of Av_j to the vector v_k for k=1,...,j. In other words, you are subtracting the part of Av_j that can be represented by the previous vectors v_1 through v_j, and thus obtaining a vector in a new direction outside the span of the previous vectors
@thesuperintendentoffugues1144
@thesuperintendentoffugues1144 4 жыл бұрын
@@daniel_an thank you
@诱惑的街
@诱惑的街 4 жыл бұрын
when i know something , the video stop,
@spellfox_
@spellfox_ Жыл бұрын
Its very quiet
@yanmengyang2637
@yanmengyang2637 4 жыл бұрын
too bad over
@walidkhier
@walidkhier 2 жыл бұрын
I am glad I am not one of his students
@daniel_an
@daniel_an 2 жыл бұрын
This was a graduate course, and it relies on knowing: Krylov method (which I have a different video on) and also Gram-Schmidt procedure of getting orthonormal basis from a basis. Sorry if it didn't make sense to you.
@walidkhier
@walidkhier 2 жыл бұрын
@@daniel_an The last I read about krylov subspace methods was around 1997. I still have some traces in mind. But frankly I was totally lost in the video. However, I agree with you in one point: I shouldn't judge a movie by seeing the last quarter. And in any case thanks for sharing your knowledge with the rest of the world.
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