Exercise 6.10.5

Answers

Use Theorem 6.44. Thus we get

\frac{∥ δx ∥}{∥ x ∥} \leq cond (A) \frac{∥ δb ∥}{∥ b ∥} = 100 \times \frac{0.1}{1} = 10

and

\frac{∥ δx ∥}{∥ x ∥} \geq \frac{1}{cond (A)} \frac{∥ δb ∥}{∥ b ∥} = \frac{1}{100} \times \frac{0.1}{1} = 0.001 .

jephianlin

2011-06-27 00:00