Transcription of INTRODUCTION TO COMPUTATIONAL MATHEMATICS
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INTRODUCTION TOCOMPUTATIONALMATHEMATICSC ourse Notes forCM 271 / AM 341 / CS 371H. De SterckP. UllrichDepartment of applied MathematicsUniversity of WaterlooMarch 20th, 2006 These notes have been funded by2 Contents1 Errors and Error Sources of Error .. Floating Point Numbers and Operations .. A Binary Computer .. Standard floating point systems .. Machine Precision .. Floating Point Operations .. Condition of a Mathematical Problem .. Stability of a Numerical Algorithm .. 232 Root INTRODUCTION .. Four Algorithms for Root Finding .. Bisection Method .. Fixed Point Iteration .. Newton s Method .. Secant Method .. Stopping Criteria for Iterative Functions .. Rate of Convergence .. Convergence Theory.
INTRODUCTION TO COMPUTATIONAL MATHEMATICS Course Notes for CM 271 / AM 341 / CS 371 H. De Sterck P. Ullrich Department of Applied Mathematics University of Waterloo March 20th, 2006 These notes have been funded by
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