You've been offered a job at the Dunder Mifflin Paper Company as a Solver of Linear Equations. Your colleague Michael is great at solving systems of linear equations and he offers to give you a demonstration. He finds the LU factorization of a 300 x 300 matrix M in 13 seconds. He then takes another 2 seconds to apply both triangular substitutions (backward and forward) to solve the system of linear equations Mx = c for a given vector c. As Assistant to the Regional Manager, Dwight wants to test your knowledge and asks you to estimate the time t that takes to factorize and efficiently solve the system Ax = b, where A is a square matrix with dimension 1200, given 30 different right-hand side b vectors. Dwight says you should not solve the problem, but instead obtain your estimate using the information from Michael's demonstration. Provide your time estimate t in the answer box below.
You've been offered a job at the Dunder Mifflin Paper Company as a Solver of Linear Equations. Your colleague Michael is great at solving systems of linear equations and he offers to give you a demonstration. He finds the LU factorization of a 300 x 300 matrix M in 13 seconds. He then takes another 2 seconds to apply both triangular substitutions (backward and forward) to solve the system of linear equations Mx = c for a given vector c. As Assistant to the Regional Manager, Dwight wants to test your knowledge and asks you to estimate the time t that takes to factorize and efficiently solve the system Ax = b, where A is a square matrix with dimension 1200, given 30 different right-hand side b vectors. Dwight says you should not solve the problem, but instead obtain your estimate using the information from Michael's demonstration. Provide your time estimate t in the answer box below.
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter5: Repetition Statements
Section5.7: Do While Loops
Problem 6E: (Numerical analysis) Here’s a challenging problem for those who know a little calculus. The...
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