Numerical Analysis

Name: Numerical Analysis
Price: 51.21 USD
Availability: InStock
ISBN: 9780321268983

ISBN-10: 0321268989

ISBN-13: 9780321268983

Edition: 2006

Authors: Timothy Sauer

List price: $148.67

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Book details

List price: $148.67
Copyright year: 2006
Publisher: Addison Wesley
Publication date: 12/7/2005
Binding: Mixed Media
Pages: 688
Size: 7.75" wide x 9.50" long x 1.00" tall
Weight: 2.794
Language: English




Fundamentals



Evaluating a polynomial



Binary numbers



Decimal to binary



Binary to decimal



Floating point representation of real numbers



Floating point formats



Machine representation



Addition of floating point numbers



Loss of significance



Review of calculus



Software and Further Reading



Solving Equations



The Bisection Method



Bracketing a root



How accurate and how fast?



Fixed point iteration



Fixed points of a function



Geometry of Fixed Point Iteration



Linear Convergence of Fixed Point Iteration



Stopping criteria



Limits of accuracy



Forward and backward error



The Wilkinson polynomial



Sensitivity and error magnification



Newtonrsquo;s Method



Quadratic convergence of Newtonrsquo;s method



Linear convergence of Newtonrsquo;s method



Root-finding without derivatives



Secant method and variants



Brentrsquo;s Method



Kinematics of the Stewart platform



Software and Further Reading



Systems of Equations



Gaussian elimination



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