EE103 Section 2 - EE103 Lecture Notes Winter 2009 Prof S...

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EE103 Lecture Notes, Winter 2009, Prof S. Jacobsen Section 2 SECTION 2: AN INTRODUCTION TO FLOATING POINT ARITHMETIC AND RATES OF CONVERGENCE ...................................................................................................................................... 16 Floating Point Arithmetic ...................................................................................................................... 16 A Bound on the Relative Error .......................................................................................................... 18 Significant Digits: ............................................................................................................................... 21 Sequences, Big “O”, Little “o”, Rates of Convergence ........................................................................ 22 Big O and little o notation: ................................................................................................................. 23 Rates of Convergence ......................................................................................................................... 25 Geometric Sums ...................................................................................................................................... 29 Back to Floating Point Arithmetic ........................................................................................................ 29
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