Numerical Analysis

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

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
Naive Gaussian elimination <P style="MARGIN: 0in 0in 0pt; mso-layout-grid-align: none" soNorm
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