Download

1 / 6

Newton’s Method

Jul 30, 2014

90 likes | 354 Vues

Newton’s Method . Solving for Higher Degree Polynomials. How can you solve for the zero’s of higher degree polynomials such as ? - Could plot a graph and estimate the zeors. Newton’s Method. Used to find a more accurate approximation of zeros Newtons Method.

Share Presentation

Embed Code

Link

nellie

Télécharger la présentation

Newton’s Method

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

Newton’s Method
Solving for Higher Degree Polynomials How can you solve for the zero’s of higher degree polynomials such as ? - Could plot a graph and estimate the zeors
Newton’s Method Used to find a more accurate approximation of zeros Newtons Method
Equation
Example Starting with x1=1, find the zeros of
Example Use Newton’s method to find the zeros of

Kinetics of Particles

Lecture Goals. EnergyWorkExamples. Work and Energy Methods. Work /Energy method is an alternative method of solving the equations of motion of particles. It combines the kinematics with Newton's 2nd Law, by integrating Newton's law with respect to position. (force as a function of position).

1.27k views • 38 slides

Finding the Minimum Using Newton’s Method

Finding the Minimum Using Newton’s Method. Lecture I. Many problems encountered in agricultural and applied economics are posed as optimization problems.

469 views • 28 slides

Newton Method for the ICA Mixture Model

Newton Method for the ICA Mixture Model. Jason A. Palmer 1 Scott Makeig 1 Ken Kreutz-Delgado 2 Bhaskar D. Rao 2 1 Swartz Center for Computational Neuroscience 2 Dept of Electrical and Computer Engineering University of California San Diego, La Jolla, CA. Introduction.

445 views • 21 slides

A brief history of Newton’s method

A brief history of Newton’s method. Luiza Bondar. CASA seminar 8 February 2006. What is Newton’s method? . where is a real valued function. . Suppose is a function on a given interval and x is a guess for the solution. We want to find a better approximation x + h .

352 views • 14 slides

Secant Method

Secant Method. Civil Engineering Majors Authors: Autar Kaw, Jai Paul http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates. Secant Method http://numericalmethods.eng.usf.edu. Secant Method – Derivation. Newton’s Method. (1).

813 views • 24 slides

Newton’s Laws of Motion

Newton’s Laws of Motion . Sir Isaac Newton. Born Jan. 4, 1643 in England. As a young student, Newton didn’t do well in school. He worked hard and continued his education. Later in life, Newton contributed ideas that became law in the worlds of science and math. Newton’s First Law of Motion.

263 views • 6 slides

Newton’s Second Law of Motion

Newton’s Second Law of Motion. BY: Kate Oberneder Science class 6 th period. What is Newton’s Second Law of Motion?. The formula for Newton’s Second Law of Motion is A(acceleration)= F net(net force) divided by M(Mass). An Example of Newton’s second Law of Motion!!.

254 views • 0 slides

Introduction to Numerical Analysis I

Introduction to Numerical Analysis I. Root Finding without Derivatives . MATH/CMPSC 455. Newton’s Method. Give . No. Converge?. Yes. Out put . Quadratic convergence of Newton’s method. Definition: The iteration is quadratically convergent if .

424 views • 9 slides

Newton’s Law

Newton’s Law. Students Social Perla Hernandez Lisbeth Saldana. Newton’s First Law . Newton's First Law

312 views • 6 slides

Secant Method

Secant Method. Secant Method – Derivation. Newton’s Method. (1). Approximate the derivative. (2). Substituting Equation (2) into Equation (1) gives the Secant method. Figure 1 Geometrical illustration of the Newton-Raphson method. Secant Method – Derivation.

908 views • 21 slides

Newton’s Third Law

Newton’s Third Law. Newton’s Laws of Motion. Newton’s first law: NL1 - A body will remain at rest or will continue to move with a constant velocity unless external forces cause it to do otherwise.

268 views • 5 slides

Newton’s Method for Functions of Several Variables

Newton’s Method for Functions of Several Variables. By: Kelly Martin. One Variable : Converges to the root of the function. Several Variables: Find solution for systems of equations of nonlinear and “more than one equation.” Will find where the equations intersect.

428 views • 9 slides

Isaac Newton

Isaac Newton. Day 2. Portrait of Newton. This is Actually Descartes’ Illustration of Magnetism. But it does an even better job of illustrating Newton’s early, mechanical account of gravity. Centripetal Force.

360 views • 5 slides

MATH 175: Numerical Analysis II

MATH 175: Numerical Analysis II. Lecturer: Jomar Fajardo Rabajante IMSP, UPLB 2 nd Sem AY 2012-2013. 5 th Method: Newton’s Method/Newton- Raphson Iteration. http://www.youtube.com/watch?v=hhT25CO6wDI ____________________________________________

646 views • 42 slides

Newton’s Three Laws By Leo Avalos

Newton’s Three Laws By Leo Avalos. Newton’s third law. Newton’s second law. Sir Issac Newton . History: Issac was an English physicist, mathatican , astronomer, natural philosopher, alchemist, and theologican . Born in 4 th of January 1643 – 31 March 1727 .

178 views • 4 slides

Section 3.8 Newton’s Method:

Section 3.8 Newton’s Method: . A technique for approximating the real zeros of a Function. What is the derivative of a function? . What is the derivative of a function? f’(x 1 ) = m of the tangent line at some x 1 . Using the point slope formula: y-y 1 =m(x-x 1 ).

373 views • 18 slides

Newton’s first law. Newton’s second law. Particular forces:

Chapter 5 – Force and Motion I. Newton’s first law. Newton’s second law. Particular forces: - Gravitational - Weight - Normal - Tension IV. Newton’s third law.

348 views • 14 slides

Newton’s 3 rd Law

Newton’s 3 rd Law. For every action…. Newton’s Third Law. 3. Action and Reaction. Newton’s third law describes something else that happens when one object exerts a force on another object. According to Newton’s third law of motion , forces always act in equal but opposite pairs.

299 views • 16 slides

Lecture 11

Lecture 11. More root finding methods Newton’s method Very fast way to find roots Requires taking the derivative of f(x) Can be unstable if ‘unattended’ Secant method Similar to Newton’s method, but derivative is numerical not analytical. Newton’s method. X old = 5.318

290 views • 10 slides

Newton’s Method applied to a scalar function Newton’s method for minimizing f(x):

Newton’s Method applied to a scalar function Newton’s method for minimizing f(x): Twice differentiable function f(x), initial solution x 0 . Generate a sequence of solutions x 1 , x 2 , …and stop if the sequence converges to a solution with  f(x)=0. Solve -  f(x k ) ≈  2 f(x k )  x

378 views • 23 slides

Newton’s Method

Newton’s Method. Other Recursive Methods Modified Fixed Point Method. Tangential Roots

300 views • 7 slides

Newton and the

Newton and the. His 3464. Spring 2007. Newton at 83 Portrait by Enoch Seeman. Sir James Thronhill’s portrait of Newton at 67. Newton in 1701 (at 59). Newton at 46. The Problem :. ?. ?. ?. ?. ?. Why does the moon orbit the earth?. Complicating the Problem.

642 views • 39 slides

More Related