🟢05 - Thomas Algorithm for Solving Tri-diagonal Matrix Systems

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SkanCity Academy

SkanCity Academy

Күн бұрын

Solve a system of linear equations using the Thomas Algorithm
The Thomas Algorithm is used to solve tri-diagonal matrix systems.
A tri-diagonal matrix is a band matrix that is formed only when non-zero elements occupy the main, lower and upper diagonals of a matrix.
When the coefficient matrix is tri-diagonal, we decompose it;
A = LU
LUx = b, we let Ux = y....(2)
and Ly = b......(1)
00:00 - Thomas Algorithm
06:48 - Example 1
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Пікірлер: 11
@Al_MKN
@Al_MKN 6 күн бұрын
Great Job keep it up
@SkanCityAcademy_SirJohn
@SkanCityAcademy_SirJohn 6 күн бұрын
Thanks so so much.
@CillaDarko
@CillaDarko 9 ай бұрын
Great job 👏
@Dhruvient
@Dhruvient Ай бұрын
GREATTTT VIDEO !!
@SkanCityAcademy_SirJohn
@SkanCityAcademy_SirJohn Ай бұрын
Thank you very much
@PepeValenzuela
@PepeValenzuela 4 ай бұрын
this is the only video where I understood the problem lol
@SkanCityAcademy_SirJohn
@SkanCityAcademy_SirJohn 4 ай бұрын
Thanks so much. Keep watching for more
@BenjaminSam-ro8sx
@BenjaminSam-ro8sx 4 ай бұрын
Great video👍
@SkanCityAcademy_SirJohn
@SkanCityAcademy_SirJohn 4 ай бұрын
Thanks so so much
@oumadam6097
@oumadam6097 5 ай бұрын
Est ce que La matrice 2×2 est tridiagonale?
@SkanCityAcademy_SirJohn
@SkanCityAcademy_SirJohn 5 ай бұрын
No please. For tridiagonal matrix, you need 3 non zero diagonals
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