'Multiple roots' presentation slideshows

The Tale of Polynomials

The Tale of Polynomials. Zhonggang Zeng. Nov. 11, 2003 --- Northeastern Illinois University. Can you solve ( x - 1.0 ) 100 = 0. Can you solve x 100 - 100 x 99 + 4950 x 98 - 161700 x 97 + 3921225 x 96 - ... - 100 x + 1 = 0. Exact roots

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SECOND ORDER CIRCUITS

SECOND ORDER CIRCUITS. Prepared by: Ertu?rul Eri? Reference book: Electric Circuits, Nielsson, Riedel Pearson, Prentence Hall,2007. Update 1: October 2011. RLC CIRCUITS. Second order circuits Two inductors, two capacitors, one inductor one capacitor DC Independent source /AC later

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Perfidious Polynomials and Elusive Roots

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Computing ill-Conditioned Eigenvalues and Polynomial Roots

Computing ill-Conditioned Eigenvalues and Polynomial Roots. Zhonggang Zeng. Northeastern Illinois University. International Conference on Matrix Theory and its Applications -- Shanghai. Can you solve ( x - 1.0 ) 100 = 0. Can you solve

343 views • 24 slides

What are roots of the Wilkinson polynomial?

What are roots of the Wilkinson polynomial?. Zhonggang Zeng. Northeastern Illinois University. May 12, 2001. Can you solve ( x - 1.0 ) 100 = 0. Can you solve x 100 - 100 x 99 + 4950 x 98 - 161700 x 97 + 3921225 x 96 - ... - 100 x + 1 = 0. The Wilkinson polynomial

468 views • 21 slides

Root-Fu ; Rise of the Ninjas

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Computers in Civil Engineering 53:081 Spring 2003

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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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Computers in Civil Engineering 53:081 Spring 2003

Computers in Civil Engineering 53:081 Spring 2003. Lecture #7. Roots of Equations: Open Methods. Lecture Outline. Open Methods The Newton-Raphson Algorithm The Secant Algorithm. Newton-Raphson Algorithm Graphical Derivation. ?. 0. x i+ 1. x i. From figure:. (Newton-Raphson Formula).

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New and Multilingual Names Andrew Duff Director of Mktg and Policy, New

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Lecture 4II

Lecture 4II. fzero Multiple roots. Inline Function. fstr='x.^2-2*x-4'; fx=inline(fstr). Function evaluation. fstr='x.^2-2*x-4'; fx=inline(fstr). x = -5:1:5; y = fx(x). y = [ 31 20 11 4 -1 -4 -5 -4 -1 4 11]. >> fstr='x.^2-2*x-4'; >> fx=inline(fstr);

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The Rational Root Theorem

The Rational Root Theorem. The Rational Root Theorem. Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial. THIS IS JUST A TEST NOT ANSWER. Example. Now. Check with division. Ex. Y = 2x 3 + 3x - 5. Try. y = x 3 +x 2 -17x+15.

422 views • 10 slides