Errata

Errata

Second Printing -- the following errata appear only in the first two printings, and will be corrected in the third and subsequent printings:
page 86: In Algorithm 2.7, last (innermost) for loop should read "for i = j to n".
page 249: In Exercise 5.7, "0.75" should read "1.5".
page 429: Example 10.6 is correct, but is unnecessarily difficult to follow because the step size h = 0.5 is absorbed into the k_i values rather than being factored out as in Section 9.3.6. For correction, see accompanying lecture notes.
page 445: In Computer Problem 10.5, the values specified for the first two components of y (i.e., y₁ and y₂) at each endpoint are the only boundary conditions that should be imposed. The values specified for the other two components of y (i.e., y₃ and y₄), should be taken merely as reasonable starting guesses for "missing" conditions needed for some solution methods, with the true values for y₃ and y₄ at the endpoints being determined by the final computed solution.
page 468: In first sentence of Section 11.5.1, "equation x = G x + c" should read "function g(x) = G x + c".

First Printing -- the following errata appear only in the first printing, and have been corrected in the second and subsequent printings:
page 35: Near end of first complete paragraph, in sentence beginning "If MATLAB is not available", delete "are" and comma after "Web".
page 40: Review Question 1.11 should read "True or false", not "True of false".
page 62: In fourth line after first displayed equation, doubled word "the the" should read just "the".
page 102: Computer Problem 2.7 should cite Section 2.4.5 instead of Section 2.3.5.
page 115: In fourth line after first set of displayed equations, "residual small" should read "residual is small".
page 135: First displayed equation, in middle of page, should end with a period rather than a comma.
page 151: Exercise 3.23 should cite Section 3.4.1 instead of Section 3.2.1.
page 154: Computer Problem 3.7 should cite Section 3.6 instead of Section 3.6.1.
page 166: First cross-reference in last paragraph should cite Section 4.2.2 instead of Section 4.2.1.
page 189: First cross-reference should cite Section 4.2.1 instead of Section 4.3.
page 189: Just below middle of page, "Equating the jth column on each side" should read "Equating the kth columns on each side".
page 190: The best approximation property of Ritz values and Ritz vectors stated in middle of page does not necessarily hold if matrix is not Hermitian.
page 211: In Computer Problem 4.6, "first two computer exercises" should read "Computer Problems 4.2 and 4.3".
page 225: In line six, "normally the case" should read "normally be the case".
page 323: In first displayed equation, "x" should be replaced by "t".
page 323: In third line after Fig. 7.5, doubled word "the the" should read just "the".
page 339: In second sentence, "the calculation" should read "calculating".
page 341: In first sentence of Section 8.2, the phrase "which is a set containing no open subinterval" is not (nor was it intended to be) the definition of a set of measure zero, but is merely a fact about such a set. To avoid any confusion, the phrase in question should be replaced by "which is a set that can be contained in the union of a countable number of open intervals of arbitrarily small total length", which is the definition of a set of measure zero.
page 354: In fifth line of next to last paragraph, doubled word "for for" should read just "for".
page 372: In Table 8.1, the second MATLAB function for one-dimensional quadrature should read "quadl", not "quad1" (quad-ell, not quad-one).
page 374: In Review Question 8.24, "meant" should read "mean".
page 379: In Computer Problem 8.7, "area an ellipsoid" should read "area of an ellipsoid".
page 405: In second line after first displayed equation, doubled word "the the" should read just "the".
page 422: In second line of Example 10.1, doubled word "the the" should read just "the".
page 442: In first line of Section 10.9, doubled word "the the" should read just "the".
page 474: In third line after Algorithm 11.2, "preconditioners of have" should read "preconditioners have".
page 496: In caption of Figure 12.1, a minus sign should precede the exponent of the exponential function.

Additional minor typsetting glitches in punctuation or font occurred in the first printing on the following pages:
11, 16, 51, 55, 56, 97, 101, 104, 143, 150, 169, 182, 208, 209, 249, 265, 305, 306, 318, 375, 421, 465, 489, 493
These have been corrected in the second and subsequent printings, along with other minor polishing.

Please report any additional errata to the author at the following email address: heath@cs.uiuc.edu

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