3.4.6-Linear Algebra: Gauss-Seidel and Jacobi

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10 жыл бұрын

These videos were created to accompany a university course, Numerical Methods for Engineers, taught Spring 2013. The text used in the course was "Numerical Methods for Engineers, 6th ed." by Steven Chapra and Raymond Canale.

Пікірлер: 28

@devsutreja5053 4 жыл бұрын

Are we ignoring the fact that his name is "jacobi-shop" 😂

@johnsinclair1447 5 жыл бұрын

Nice. All 46 linear algebra videos completed in one day -- another great review / refresher. I took LA about 30 years ago, so not completely new to me. Thanks Jacob. Off to Part 5.....

@MathTutorVideos 10 жыл бұрын

Great video and great explanation Jacob. Thanks from a non-affiliated university student that surfed across your video by random luck.

@kvyi 10 жыл бұрын

Thanks for the comment. I'm glad you found it useful. Good luck.

@MathTutorVideos 10 жыл бұрын

Jacob Bishop Thanks again for taking the time to make it and good luck to you as well. I'll definitely be viewing some other videos over the new few days pre-midterm on Friday :)

@tim8602 9 жыл бұрын

Thanks for taking the time to make and put out these videos! I've been following along, but what happened to playlist 4?

@mohammadshabaz482 7 жыл бұрын

thanks got the difference between the two easily with the help of your video

@dramoyoedward9229 11 ай бұрын

Very wonderful explanation of two ideas summarised at once... thanks!!

@deborahfranza2925 4 жыл бұрын

This is awesome, thank you for posting

@Elitecataphract 10 жыл бұрын

Very good explanation, thank you.

@AJ-et3vf 2 жыл бұрын

Awesome video man

@MFMBarcelona 9 жыл бұрын

Thank you! But how can I find successive substitution ?

@classicsound90 8 жыл бұрын

good job. good explenation. thank you.

@nutty-san4255 4 жыл бұрын

Hello, can I ask... given the same initial iterate, if the Jacobi method converges, will the Gauss-Seidel method also converge? And is it vice-versa?

@hanyong10616 8 жыл бұрын

good explanation .... thanks alot

@shobhankarthick1464 3 жыл бұрын

Hey Bishop, Where can I find the playlist of the next part i.e. part 4. Please let me know, it will be of great help.

@akey_9655 Жыл бұрын

Thank you

@PaleyDaley 2 жыл бұрын

You say Gauss-Seidel converges faster, but what about stability? Does it mean the Jacobi iteration is more stable, or do they have the same stability?

@djahidganoun1586 8 жыл бұрын

thannnk youuu mann

@deborahfranza2925 4 жыл бұрын

hmm but what was epsilon sub s?

@hari8568 6 жыл бұрын

Jacob why is the method not accurate? Aren't you just rearranging equations? Also why is it essential that we can use this method only for diagonally dominant elements?