4. The "divide and average" method, an old-time mthod for approximating the square root of any positive number a, can be formulated as x+a/x x = 2 Prove that this is equivalent to the Newton-Raphson Algorithm.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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4. The "divide and average" method, an old-time mthod for approximating the square root of any positive
number a, can be formulated as
x+a/x
x =
Prove that this is equivalent to the Newton-Raphson Algorithm.
Transcribed Image Text:4. The "divide and average" method, an old-time mthod for approximating the square root of any positive number a, can be formulated as x+a/x x = Prove that this is equivalent to the Newton-Raphson Algorithm.
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