Accuracy and Stability of Numerical Algorithms, Second edition

Errors

In the list below, line numbers do not include tables.

First Printing

• Page 585, in the second table "mmsmax" should be "nmsmax".
• Page 519, line -5: the MATLAB statement "charpoly(P)" is not valid in current versions of MATLAB and should be replaced by "poly(sym(P))".
• Page 198, line -3: change abs(\rhat_i^T \rhat_j) to abs(\rhat_i^T)abs(\rhat_j).
• Page 517, Theorem 28.1 should read as follows:
  Let the independent vectors $x_i \in \R^{n-i+1}$ have elements from the normal $\N(0,1)$ distribution for $i=1\colon n$. Let $P_i = \diag(I_{i-1}, \Pbar_i)$, where $\Pbar_i$ is the Householder transformation that reduces $x_i$ to $r_{ii}e_1$, for $i=1\colon n-1$. Then the product $Q = D P_1 P_2 \dots P_{n-1}$ is a random orthogonal matrix from the Haar distribution, where $D = \diag(\sign(r_{ii}))$ and $r_{nn} = \sign(x_n)$.
• Page 499, first line of Section 27.8: replace "it estimated" by "is estimated".

Second Printing

• Page 106, line -4 should read "$\overline{x}_i y_i$ lies on the same ray".
• On page 123, in (7.1) and several other places "(|E" should be "(E".
• On page 127, in the last line of Theorem 7.8 there is a missing x: the parenthesized equation should read $|A||A^{-1}|x = \rho(|A||A^{-1}|) x$.
• On page 128, the second displayed equation should begin $\rho_0(A) =$.
• The curve for complete pivoting in Figure 9.2 on page 169 is incorrect. It should grow more rapidly and reach about 10^6 at the right-hand end point.

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