Lets assume we have a computer that can solve a 100 100 system in 1 second

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Let’s assume we have a computer that can solve a 100 × 100 system in 1 second using Gauss elimination. Estimate the time required to solve the following problems on the same computer. You must indicate the scaling as well as the time.

(a) 1000 × 1000 system using Gauss elimination

(b) 1000 × 1000 system with a band structure p = q = 2 using banded Gauss elimination

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Numerical Methods With Chemical Engineering Applications

ISBN: 9781107135116

1st Edition

Authors: Kevin D. Dorfman, Prodromos Daoutidis

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Question Posted: Oct 22, 2023 05:31 AM

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Lets assume we have a computer that can solve a 100 100 system in 1 second

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a 1000 1000 system using Gauss elimination Gauss elimination scales cubically with the matrix size s...View the full answer

Numerical Methods With Chemical Engineering Applications

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