Numerical linear algebra | Relaxation (iterative methods)
In numerical linear algebra, the Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The process is then iterated until it converges. This algorithm is a stripped-down version of the Jacobi transformation method of matrix diagonalization. The method is named after Carl Gustav Jacob Jacobi. (Wikipedia).
Newton's Method for Systems of Nonlinear Equations
Generalized Newton's method for systems of nonlinear equations. Lesson goes over numerically solving multivariable nonlinear equations step-by-step with visual examples and explanation of the Jacobian, the backslash operator, and the inverse Jacobian. Example code in MATLAB / GNU Octave on
From playlist Newton's Method
Approximating the Jacobian: Finite Difference Method for Systems of Nonlinear Equations
Generalized Finite Difference Method for Simultaneous Nonlinear Systems by approximating the Jacobian using the limit of partial derivatives with the forward finite difference. Example code on GitHub https://www.github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:13 Prerequisites 0:3
From playlist Solving Systems of Nonlinear Equations
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
MATLAB Solves the Laplace Equation (Iterative Method) | Lecture 68 | Numerical Methods for Engineers
How to solve the Laplace equation using the Jacobi method. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?su
From playlist Numerical Methods for Engineers
Marianne Akian: "Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations" Marianne Akian - Institut National de Recherche en Informatique et Automatique (
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Theory of numbers: Jacobi symbol
This lecture is part of an online undergraduate course on the theory of numbers. We define the Jacobi symbol as an extension of the Legendre symbol, and show how to use it to calculate the Legendre symbol fast. We also briefly mention the Kronecker symbol. For the other lectures in t
From playlist Theory of numbers
Gentle example explaining how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Yat Tin Chow: "A numerical method of solving high dimensional Hamilton-Jacobi equations with gen..."
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "A numerical method of solving high dimensional Hamilton-Jacobi equations with generalized Hopf-Lax formula" Yat Tin Chow - University of California, Riverside
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Gentle example showing how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Lecture: Eigen-decompositions and Iterations
We develop a theoretical approach to understanding how eigen-decompositions of matrices can be used in iterative schemes for Ax=b.
From playlist Beginning Scientific Computing
Jacobi, Gauss-Seidel and SOR Methods | Lecture 66 | Numerical Methods for Engineers
Iterative methods for solving the discrete Laplace equation. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?
From playlist Numerical Methods for Engineers
CMPSC/Math 451. March 20, 2015. Gauss-Seidel, SOR. Wen Shen
Wen Shen, Penn State University Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I
From playlist Numerical Computation spring 2015. Wen Shen. Penn State University.
Lec 15 | MIT 18.086 Mathematical Methods for Engineers II
Iterative Methods and Preconditioners View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06
Wheatstone Bridge: A (Not So) Honorable History
Charles Wheatstone introduced "his" bridge in 1843 but it was first invented in 1833 by Samuel Christie. This is the story of *why* these men invented this device and the convoluted tale of how it got its name. Links: My mailing list: https://kathylovesphysics.ck.page/welcome My Patreo
From playlist "The Lightning Tamers": A History of Electricity
Mod-01 Lec-29 Gauss-Seidel Method
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
Lecture: Iteration Methods for Ax-b
This details how to apply a simple iteration procedure for solving Ax=b, including Jacobi iterations and Gauss-Siedel modifications.
From playlist Beginning Scientific Computing
Victorita Dolean: An introduction to domain decomposition methods - lecture1
HYBRID EVENT Recorded during the meeting "Domain Decomposition for Optimal Control Problems" the September 05, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematici
From playlist Jean-Morlet Chair - Gander/Hubert
An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation.
From playlist Multivariable calculus