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CISE301: Numerical Methods Topic 2: Solution of Nonlinear Equations Lectures 5-11:

CISE301: Numerical Methods Topic 2: Solution of Nonlinear Equations Lectures 5-11:

CISE301: Numerical Methods Topic 2: Solution of Nonlinear Equations Lectures 5-11:. KFUPM Read Chapters 5 and 6 of the textbook. Lecture 5 Solution of Nonlinear Equations ( Root Finding Problems ). Definitions Classification of Methods Analytical Solutions Graphical Methods

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1.35k views • 90 slides
Root finding Methods

Root finding Methods

Root finding Methods. Solving Non-Linear Equations (Root Finding). Root finding Methods. What are root finding methods? Methods for determining a solution of an equation. Essentially finding a root of a function, that is, a zero of the function. Root finding Methods. Where are they used?

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2.19k views • 67 slides
Lecture 4 Solution of Nonlinear Equations ( Root finding Problems )

Lecture 4 Solution of Nonlinear Equations ( Root finding Problems )

Lecture 4 Solution of Nonlinear Equations ( Root finding Problems ). Definitions Examples Classification of methods Analytical solutions Graphical methods Numerical methods Bracketing methods Open methods Convergence Notations Reading Assignment: Sections 5.1 and 5.2.

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515 views • 49 slides
The Bisection Method

The Bisection Method

The Bisection Method. Introduction. Bisection Method:. Bisection Method = a numerical method in Mathematics to find a root of a given function. Introduction (cont.). Root of a function:. Root of a function f(x) = a value a such that:. f(a) = 0. Introduction (cont.).

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624 views • 33 slides
Optimization

Optimization

Optimization. ???. Unconstrained Minimization. Def : f(x), x is said to be differentiable at a point x*, if it is defined in a neighborhood N around x* and if x* +h a vector n independent of h that where the vector a is called the gradient of f(x) evaluated at x*,

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487 views • 28 slides
Testing Convergence At Endpoints

Testing Convergence At Endpoints

Testing Convergence At Endpoints. Section 11.5. Integrate. converges if , diverges if . p-series Test.

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530 views • 28 slides
Golden section method

Golden section method

Golden section method. Professor: Dr. Sahand Daneshvar Presented by: Mahdi banar. Problem Statement. Basic Definitions. The function f (x ) is usually called the objective function. gi (x ) ? 0, I = 1 ;:::; n g, is called an inequality constraint .

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368 views • 14 slides
Golden Section Search Method

Golden Section Search Method

Golden Section Search Method. Major: All Engineering Majors Authors: Autar Kaw, Ali Yalcin http://nm.mathforcollege.com Transforming Numerical Methods Education for STEM Undergraduates. Golden Section Search Method http://nm.mathforcollege.com. f(x). x. a. b. Equal Interval Search Method.

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1.46k views • 13 slides

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