수학/선형대수

Krylov subspace

말뱅이 2023. 9. 18. 20:36

https://webdocs.cs.ualberta.ca/~rgreiner/C-466/SLIDES/painless-conjugate-gradient.pdf

 

https://julia.quantecon.org/tools_and_techniques/iterative_methods_sparsity.html

 

Krylov Methods and Matrix Conditioning

This website presents a set of lectures on quantitative economic modeling, designed and written by Jesse Perla, Thomas J. Sargent and John Stachurski. The language instruction is Julia.

julia.quantecon.org

 

https://math.stackexchange.com/questions/2704957/what-makes-krylov-subspaces-so-special/2714985#2714985

 

What makes Krylov subspaces so special?

I am reading through "Numerical Linear Algebra", by Lloyd N. Trefethen and David Bau. I reached the final chapter about iterative methods. They all share the fact, that they are using Krylov subspa...

math.stackexchange.com

 

https://math.stackexchange.com/questions/3328986/importance-of-krylov-subspace

 

importance of Krylov subspace

Can someone please explain to me why we are using Krylov subspaces for the CG-Method, GMRES-Method and Arnoldi. Unfortunately I do not see where the advantages are und why Krylov subspaces are so

math.stackexchange.com

 

 

https://blog.naver.com/PostView.naver?blogId=skkong89&logNo=223103263891&categoryNo=47&parentCategoryNo=0&viewDate=&currentPage=1&postListTopCurrentPage=1&from=postView 

 

길교수님 은퇴 강의

아마 선형대수 공부하시는 분 중에 MIT 길버트 스트랭 Gilbert Strang 교수님 강의를 안보신 분은 있...

blog.naver.com

https://www.youtube.com/watch?v=z0ykhV15wLw 

 

https://joonleesky.github.io/posts/Conjugate_Gradient/

 

[Math] Conjugate Gradients

이 포스팅에서는 \(Ax = b\)의 해를 찾아내는 과정을, 최적화 문제로 환원하여 해결하는 conjugate gradients method를 살펴봅니다. Justin Solomon 교수님의 CS 205a: Mathematical Methods for Robotics, Vision, and Graphics

joonleesky.github.io

 

 

https://www.youtube.com/watch?v=UgyLaAXqlQ4&list=PLP1OdTlavJNvV0KDxLjqkmc_RGr5z6WIi&index=1