Question

In which of the following calculations should you be concerned about potential for round-off error?  Select all that apply.

  

A bisection method iteration that requires 1000 iterations to converge.

  

Use of Gauss Elimination to solve a linear system with a condition number on the order of 10^20.

Finite difference derivative approximations used to calculate a Jacobian matrix for Newton-Raphson iteration.

  

Use of MATLAB left division to solve an ill-conditioned 100 x 100 linear system.

   

None of these

Answer 1

Answer:

a.  A bisection method iteration that requires 1000 iterations to converge.
b.  Use of Gauss Elimination to solve a linear system with a condition number on the order of 10^20.
c.  Finite difference derivative approximations used to calculate a Jacobian matrix for Newton-Raphson iteration.