Numerical analysis | Optimization algorithms and methods | Iterative methods

Local convergence

In numerical analysis, an iterative method is called locally convergent if the successive approximations produced by the method are guaranteed to converge to a solution when the initial approximation is already close enough to the solution. Iterative methods for nonlinear equations and their systems, such as Newton's method are usually only locally convergent. An iterative method that converges for an arbitrary initial approximation is called globally convergent. Iterative methods for systems of linear equations are usually globally convergent. * v * t * e (Wikipedia).

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Interval of Convergence (silent)

Finding the interval of convergence for power series

From playlist 242 spring 2012 exam 3

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Patrice Ossona de Mendez: Local limits and connectivity

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Combinatorics

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Newton's Method Interval of Convergence

How to find the Interval of Convergence for Newton-type methods such as Newton's Method, Secant Method, and Finite Difference Method including discussion on Damped Newton's Method and widening the convergence interval. Example code in R hosted on Github: https://github.com/osveliz/numerica

From playlist Root Finding

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Region of Convergence for the z-Transform

http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. z-transforms of signals in general do not exist over the entire z-plane. The infinite series defining the z-transform only converges for a subset o

From playlist The z-Transform

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Convergence!

Convergence: When ideas cross to produce something greater than the sum of it’s parts. We’re seeing this with fitness, travel, entertainment and the list goes on. Different ideas, different paths of research and development and different products are converging all around us. And where bet

From playlist CES 2016

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The Difference Between Pointwise Convergence and Uniform Convergence

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Difference Between Pointwise Convergence and Uniform Convergence

From playlist Advanced Calculus

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Find the Interval of Convergence

How to find the interval of convergence for a power series using the root test.

From playlist Convergence (Calculus)

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Math 131 111416 Sequences of Functions: Pointwise and Uniform Convergence

Definition of pointwise convergence. Examples, nonexamples. Pointwise convergence does not preserve continuity, differentiability, or integrability, or commute with differentiation or integration. Uniform convergence. Cauchy criterion for uniform convergence. Weierstrass M-test to imp

From playlist Course 7: (Rudin's) Principles of Mathematical Analysis

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Calculus: How Convergence Explains The Limit

The limit definition uses the idea of convergence twice (in two slightly different ways). Once the of convergence is grasped, the limit concept becomes easy, even trivial. This clip explains convergence and shows how it can be used to under the limit.

From playlist Summer of Math Exposition Youtube Videos

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Modeling limits - P. Ossona de Mendez - Workshop 1 - CEB T1 2018

Patrice Ossona de Mendez (EHSS) / 30.01.2018 A sequence of graphs is FO-convergent if the probability of satisfaction of every first-order formula converges. A graph modeling is a graph, whose domain is a standard probability space, with the property that every definable set is Borel. It

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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7. Solutions of Nonlinear Equations; Newton-Raphson Method

MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: James Swan This lecture talked about the system of non-linear equations. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/term

From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015

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Complex analysis: Locally uniform convergence

This lecture is part of an online undergraduate course on complex analysis. We discuss 3 notions of convergence for functions: pointwise convergence, uniform convergence, and locally uniform convergence, and explain why locally uniform convergence is the best one. As applications we show

From playlist Complex analysis

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Victorita Dolean: An introduction to domain decomposition methods - lecture 2

HYBRID EVENT Recorded during the meeting "Domain Decomposition for Optimal Control Problems" the September 06, 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

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On the Convergence of Deep Learning with Differential Privacy

A Google TechTalk, presented by Zhiqi Bu, 2021/07/02 ABSTRACT: Differential Privacy for ML Series. In deep learning with differential privacy (DP), the neural network achieves the privacy usually at the cost of slower convergence (and thus lower performance) than its non-private counterpa

From playlist Differential Privacy for ML

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Limits of cubic differentials and projective structures by David Dumas

ORGANIZERS Siddhartha Gadgil, Krishnendu Gongopadhyay, Subhojoy Gupta and Mahan Mj DATE & TIME 27 November 2017 to 30 November 2017 VENUE Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups int

From playlist Surface Group Representations and Geometric Structures

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Igor Kortchemski: Condensation in random trees - Lecture 3

We study a particular family of random trees which exhibit a condensation phenomenon (identified by Jonsson & Stefánsson in 2011), meaning that a unique vertex with macroscopic degree emerges. This falls into the more general framework of studying the geometric behavior of large random dis

From playlist Probability and Statistics

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Aaron Nung Kwan Yip: "Coarsening rates for non-local Cahn-Hilliard equation"

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Coarsening rates for non-local Cahn-Hilliard equation" Aaron Nung Kwan Yip - Purdue University Abstract: We will discuss the coarsening rates for a non-local Cahn-Hilliard equatio

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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Use the Definition of Convergence to Prove that the Sequence {c/n^p} Converges

Use the Definition of Convergence to Prove that the Sequence {c/n^p} Converges If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are sever

From playlist Real Analysis Proofs and Examples

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Felix Otto - 23 September 2016

Otto, Felix "The thresholding scheme for mean curvature flow"

From playlist A Mathematical Tribute to Ennio De Giorgi

Related pages

Limit of a sequence | Iterative method | Numerical analysis | Approximation | Newton's method