'Secant method' presentation slideshows

CS-110 Computational Engineering Part 3

CS-110 Computational Engineering Part 3. A. Avudainayagam Department of Mathematics. Root Finding: f(x)=0. Method 1: The Bisection method Th: If f(x) is continuous in [a,b] and if f(a)f(b)<0, then there is atleast one root of f(x)=0 in (a,b). y. y. f(b) > 0. x 2. a. a. x 4. b.

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Numerical Analysis

Numerical Analysis. EE, NCKU Tien-Hao Chang (Darby Chang). In the previous slide. Rootfinding multiplicity Bisection method Intermediate Value Theorem convergence measures False position yet another simple enclosure method advantage and disadvantage in comparison with bisection method.

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KFUPM

CISE-301: Numerical Methods Topic 1: Introduction to Numerical Methods and Taylor Series Lectures 1-4:. KFUPM. Lecture 1 Introduction to Numerical Methods. What are NUMERICAL METHODS ? Why do we need them? Topics covered in CISE301 . Reading Assignment: Pages 3-10 of textbook .

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ROOTS OF EQUATIONS Student Notes

ROOTS OF EQUATIONS Student Notes. ENGR 351 Numerical Methods for Engineers Southern Illinois University Carbondale College of Engineering Dr. L.R. Chevalier Dr. B.A. DeVantier. Applied Problem. The concentration of pollutant bacteria C in a lake decreases according to:.

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MATH 685/ CSI 700/ OR 682 Lecture Notes

MATH 685/ CSI 700/ OR 682 Lecture Notes. Lecture 8. Nonlinear equations. Nonlinear Equations. Given a function f, we are looking for a value x, s.t. f(x)=0 (a root of the equation, or a zero of the function f). The problem is called root finding or zero finding. Example.

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Nonlinear Regression

Nonlinear Regression. Chemical Engineering Majors Authors: Autar Kaw, Luke Snyder http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates. Nonlinear Regression http://numericalmethods.eng.usf.edu. Nonlinear Regression.

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Numerical Methods

Numerical Methods. Solution of Equation. What computers can’t do. Solve (by reasoning) general mathematical problems  t hey can only repetitively apply arithmetic primitives to input. Solve problems exactly .

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Numerical Methods

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Engineering Optimization

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Solution of Equations by Iteration

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Computational Methods in Physics PHYS 3437

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Secant Method

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Secant Method

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Secant Method ??? ???

Secant Method ??? ???. Major: All Engineering Majors Authors: Autar Kaw, Charlie Barker Presented by: ???? ???????? ????? ???? http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates. Secant Method http://numericalmethods.eng.usf.edu.

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Engineering Computation

Engineering Computation. Lecture 4. Open Methods (Newton-Raphson Method). Error Analysis for N-R : Recall that Taylor Series gives:. where x r ? x ? x i and f(x r ) = 0. Open Methods (Newton-Raphson Method). Dividing through by f '(x i ) yields. OR.

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OR682/Math685/CSI700

OR682/Math685/CSI700. Lecture 5 Fall 2000. Nonlinear Equations. Solving f ( x ) = 0 (1 equation, n equations) Assume that [# of equations] = [# of variables] Closely related to: minimize F ( x ) Solve: ? F ( x ) = 0

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Numerical Analysis - Advanced Topics in Root Finding -

Numerical Analysis - Advanced Topics in Root Finding -. Hanyang University Jong-Il Park. Summary: Root Finding. Error analysis of N-R method. Taylor series:. Newton-Raphson method:. --- (1). At the true solution x r :. --- (2). (1) ? (2) :. Let. Quadratic convergence!.

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Lecture 11

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Chapter 2

Chapter 2. Solution of Nonlinear Equations: Lecture (III). Outline. Numerical methods (3) Secant method. Secant method. Secant method algorithm: An approximation to the derivative: 1. Start with two initial guesses x 1 and x 2 and ?. set i = 2. 2. Find the new approximation, x i+1 .

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Secant Method

Secant Method. Another Recursive Method. Secant Method

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