9. Iterative methods for the solution of an N × N system of simultaneous equations
(a) solve the equations in K × O(N<sup>2</sup>) floating point operations, where K=number of iterations to convergence.
(b) solve the equations in K × O(N<sup>3</sup>) floating point operations, where K=number of iterations to convergence.
(c) solve the problem exactly if there was no round off error.
(d) are characterized as schemes for which the dominant source of numerical error is truncation error.
(e) are characterized as schemes for which the dominant source of numerical error is round-off error.
10. Direct methods for the solution of an N × N system of simultaneous equations
(a) solve the equations in K × O(N<sup>2</sup>) floating point operations, where K=number of iterations to convergence.
(b) solve the equations in K × O(N<sup>3</sup>) floating point operations, where K=number of iterations to convergence.
(c) solve the problem exactly if there was no round off error.
(d) are characterized as schemes for which the dominant source of numerical error is truncation error.
(e) are characterized as schemes for which the dominant source of numerical error is round-off error.