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Problem 2 Assume your computer is capable of solving a 10³ × 10³ system (of 64-bit numbers) in 1 second using Gauss elimination. Solve the following: a) How many floating-point operations per second (FLOPS) is your computer capable of? b) How long will it take to solve a 105 × 10° system using Gauss elimination? c) How long will it take to solve a 10% × 10° system with a banded structure of p = q = 5 using banded Gauss elimination? d) How long will it take to solve a 10³ × 10³ system using Gauss-Seidel with 100 iterations?

Problem 2 Assume your computer is capable of solving a 10³ × 10³ system (of 64-bit numbers) in 1 second using Gauss elimination. Solve the following: a) How many floating-point operations per second (FLOPS) is your computer capable of? b) How long will it take to solve a 105 × 10° system using Gauss elimination? c) How long will it take to solve a 10% × 10° system with a banded structure of p = q = 5 using banded Gauss elimination? d) How long will it take to solve a 10³ × 10³ system using Gauss-Seidel with 100 iterations?

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Problem 2 Assume your computer is capable of solving a 10³ × 10³ system (of 64-bit numbers) in 1 second using Gauss elimination. Solve the following: a) How many floating-point operations per second (FLOPS) is your computer capable of? b) How long will it take to solve a 105 × 10° system using Gauss elimination? c) How long will it take to solve a 10% × 10° system with a banded structure of p = q = 5 using banded Gauss elimination? d) How long will it take to solve a 10³ × 10³ system using Gauss-Seidel with 100 iterations?
Transcribed Image Text:Problem 2 Assume your computer is capable of solving a 10³ × 10³ system (of 64-bit numbers) in 1 second using Gauss elimination. Solve the following: a) How many floating-point operations per second (FLOPS) is your computer capable of? b) How long will it take to solve a 105 × 10° system using Gauss elimination? c) How long will it take to solve a 10% × 10° system with a banded structure of p = q = 5 using banded Gauss elimination? d) How long will it take to solve a 10³ × 10³ system using Gauss-Seidel with 100 iterations?
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