Linear Systems - Jacobi Method | Numerical Methods (🇵🇭 Tagalog 🇵🇭)
34.1 هزار بار بازدید -
4 سال پیش
-
A numerical method in solving
A numerical method in solving systems of linear equations. The Gauss-Jacobi iteration method or simply the Jacobi Method.
#EngrLeir #NumericalMethods #JacobiMethod
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Contents
0:00 Intro
0:13 Matrix form of equations
0:34 Diagonally dominant requirement
2:27 Coefficient matrix in two parts
3:13 Derivation of Jacobi iteration equations
4:54 Inverse of a diagonal matrix
5:46 Substitution to iteration equation
6:52 Matrix form to equation form
8:31 Directly getting the equations from the original
9:39 1st iteration
10:32 2nd iteration
11:39 Table of iterations using spreadsheet
12:03 Using spreadsheet
15:30 Outro
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I will be uploading a new video each week and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!
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Hi, I'm EngrLeir, a Civil Engineer. This is a channel about Engineering. I want to share my knowledge to others. In this channel, I try to solve engineering problems in a step-by-step manner with focus on concepts rather than formulas.
You can find me here
Youtube: engrleir
Facebook: Facebook: engrleirlectures
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#EngrLeir #Engineering #TagalogTutorials #CEBoardExam
#EngrLeir #NumericalMethods #JacobiMethod
------------------
Contents
0:00 Intro
0:13 Matrix form of equations
0:34 Diagonally dominant requirement
2:27 Coefficient matrix in two parts
3:13 Derivation of Jacobi iteration equations
4:54 Inverse of a diagonal matrix
5:46 Substitution to iteration equation
6:52 Matrix form to equation form
8:31 Directly getting the equations from the original
9:39 1st iteration
10:32 2nd iteration
11:39 Table of iterations using spreadsheet
12:03 Using spreadsheet
15:30 Outro
------------------
I will be uploading a new video each week and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!
------------------
Hi, I'm EngrLeir, a Civil Engineer. This is a channel about Engineering. I want to share my knowledge to others. In this channel, I try to solve engineering problems in a step-by-step manner with focus on concepts rather than formulas.
You can find me here
Youtube: engrleir
Facebook: Facebook: engrleirlectures
------------------
#EngrLeir #Engineering #TagalogTutorials #CEBoardExam
4 سال پیش
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