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Get Full Access to Numerical Analysis - 10 Edition - Chapter 7.6 - Problem 11
Get Full Access to Numerical Analysis - 10 Edition - Chapter 7.6 - Problem 11

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# Let A i 4 -1 0 0 -1 4 -1 0 0 -1 4 -1 0 0 -1 4 0 0 0 0 " 0 0 0 0 0 0 0 0 0 0 0 0 -/ = -1

ISBN: 9781305253667 457

## Solution for problem 11 Chapter 7.6

Numerical Analysis | 10th Edition

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Problem 11

Let A i 4 -1 0 0 -1 4 -1 0 0 -1 4 -1 0 0 -1 4 0 0 0 0 " 0 0 0 0 0 0 0 0 0 0 0 0 -/ = -1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 -1 and O = Form the 16 x 16 matrix A in partitioned form. A = A\ -I O 0 -I A\ -/ 0 0 -1 A\ -I 0 o -/ Ai Let b = (1,2,3,4,5,6,7,8,9,0, 1,2,3.4.5,6)'.a. Solve Ax = b using the conjugate gradient method with tolerance 0.05. b. Solve Ax = b using the preconditioned conjugate gradient method with C _l = Z)_1T 2 and tolerance 0.05. c. Is there any tolerance for which the methods of part (a) and part (b) require a different number of iterations?

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Syllabus IS 380: GEOGRAPHIC INFORMATION SYSTEMS PROFESSOR BRADLEY GARDENER BRADLEY.GARDENER@SPS.CUNY.EDU OFFICE HOURS – MONDAY AND FRIDAYON SKYPE BY APPOINTMENT Information Systems No pre­ or co­requisites COURSE DESCRIPTION Course Description from Bulletin: Modern Geographic Information Systems (GIS) have found their way into many aspects of everyday life, nested as they are on smartphonesand PDAs and installed in automobiles. GIS applications are broad, from operations and logistics to marketing and sales. In our personal lives, GIS is. These technologies allow users, from individuals to organizations, to visualize, question, analyze, and interpret th

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