Lecture3 - Lecture 3 Manipulating Arrays Cinna(see-na Wu...

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Unformatted text preview: Lecture 3: Manipulating Arrays Cinna (see-na) Wu [email protected] Modified from slides by Ryan Hynd Department of Mathematics University of California, Berkeley Math 98 Introduction to MATLAB programming Arrays are important! Three fundamental contexts in which arrays arise... Saving a sequence of values of a runtime variable for subsequent retrieval and analysis Representing mathematical functions (scalar and vector-valued) Matrix algebra ...respective examples Using Newton’s method to compute √ 5 Numerical solution of ODE/PDE Solving linear systems, finding eigenvalues, etc. Computing √ 5 with Newton’s method Last time We approximated the √ 5 by computing the n th iterate of the Newton’s method: x n +1 = x n 2 + 5 2 x n ,x given. However we didn’t save the iterates as we calculated. (SEE http://math.berkeley.edu/ ryanhynd/NewtonAlg2.m) This time We want to save the iterates x 1 ,x 2 ,...,x n so we can analyze | x 1- x | , | x 2- x 1 | ,..., | x n- x n- 1 | and | x 2 1- 5 | , | x 2 2- 5 |...
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This note was uploaded on 01/21/2012 for the course MATH 98 taught by Professor Instuctor during the Spring '08 term at Berkeley.

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Lecture3 - Lecture 3 Manipulating Arrays Cinna(see-na Wu...

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