Master KU - Math 781 Homework Assignment 1 due Thursday Reading 1.1 1.2 2.1 Problems \u00a71.1 14 25 \u00a71.2 7 10 16 Problem Plus 1 Problem Plus 1 Define

Master KU - Math 781 Homework Assignment 1 due Thursday...

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Math 781: Homework Assignment # 1 due Thursday, 9/4/14 Reading 1.1, 1.2, 2.1 Problems § 1.1: 14, 25; § 1.2: 7, 10, 16; Problem Plus 1. Problem Plus 1.Define a sequence byx0= 2;xn+1=12xn+1xnn >0.It is known thatxn2. Prove that the order of the convergence is quadratic. 1
Math 781: Homework Assignment # 2 due Thursday, 9/11/14 Reading 2.2 Problems § 2.1: 1, 4, 9, 13, 14, 16; Problems Plus 1 and 2. Plus 1.Given a general floating point systemσ·(0.a1· · ·an)β·βmwithLmUandβ>1. Find the greatest and smallest positive numbers and the unitroundo. Plus 2.(Challenge !!!) In a typical floating point number system a non-zero numberxisstored in the formx=σ·(.a1a2· · ·at)β·βe,whereσ= +1 or-1, 0aiβ-1,t= 53,β= 2, and-1021e1024.(a) Which of the following are numbers in this typical floating point number system ?Explain.

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