- Page 3, (1.4): there is an unwanted right parenthesis in the position.
- Page 4, line 6: replace by .
- Page 10, second paragraph of Section 1.2.6: is the minimum polynomial for but not for , because has a repeated eigenvalue 1.
- Page 27, line -8: replace “it” by “its”.
- Page 31, Problem 1.33: the displayed matrix should have an extra superdiagonal of 1s inserted immediately above the main diagonal, so that

- Page 77, line -10: replace upper limit of sum by .
- Page 80, line 1: should read “, , , …”.
- Page 86: In lines 1 and 2 of Algorithm 4.14, n should be m, where T is block m-by-m.
- Page 97, last displayed equation should read

- Page 101: in the proof of Theorem 4.23 the inequality is used but this inequality is incorrect. The proof can be fixed by making use of a norm for which is arbitrarily close to .
- Page 102: in (4.37), and three lines below it, should be replaced by .
- Page 114, line 6: remove the period inside parentheses and replace “It” by “it” on the following line.
- Page 120, line 5: should read “the are”.
- Page 148: in the last equation of (6.30), the two occurrences of should be .
- Page 160, line -14 should read “if is a nonsingular -matrix with for all then all the iterates (or in the case of iteration (6.19)) have the same properties.
- Page 165, line -3: should read .
- Page 161, Theorem 6.10 should say and the sentence before the theorem should say “real -matrices”.
- Page 196, insert “complete orthogonal decomposition” at the end of line -5.
- Page 217, line -3: the parentheses should read (“Berberian’s trick”).
- Page 224, line 9 of Algorithm 9.4 should read ω_{s+1+r} and on line 10 add, just before “quit”, “F = F_s”.
- Page 222, line 9: should read .
- Page 228, in line 6 of Algorithm 9.6 i should be j; in line 8 of Algorithm 9.6 j should be i.
- Page 234, Table 10.1: formula in (3,2) position should read .
- Page 241, second line of Sec. 10.3: “” should read “for integer ”.
- Page 246, line 7: the first right parenthesis after should be deleted.
- Page 247, third line above Theorem 10.21: “scaling” should read “squaring”.
- Page 253, line 2: “larger” should read “smaller”.
- Page 261, in the first line of Section 10.7.3 a space is needed after “single shift”.
- Page 265, Problem 10.6 should read “cond_abs(exp,A)”.
- Page 266, Problem 10.16 should read “rounding errors in the squaring phase”.
- Page 272, second display from bottom: on left-hand side, should read .
- Page 274, line 8 should read “-point Gauss-Legendre quadrature rule”
- Page 275, line -10: extra right parenthesis needed before the final “|”.
- Page 280, line 1: the U should be in the mathcal font.
- Page 280: in (11.28), the conditions for the second case should be replaced by for some suitable that depends on the unit roundoff.
- Page 283, line 11 of Algorithm 11.12: should read .
- Page 283, 7 lines before Section 11.9: should read “Algorithm 11.2 can be combined”.
- Page 330, line 5: should read “on Hermitian matrices”.
- Page 332, 9 lines before Section B.16: should read “a complex addition requires 2 real additions”.
- Page 333, in equation (B.25) a right parenthesis should be added after .
- Page 336:
- delete the “LU” line (appears in Table C.2).
- HM line should read ““.
- TY = B line should read ““.
- HY = B line should read ““.

- Page 370, in solution to Problem 8.26, in (b) the operation count for (8.37) should be .