Revision date: 3 March 2000.
Errors in the APS text
===========================================================================
Second Printing
===============
p. 13 In lines 21 and 24 the delta[i] should be delta[i-1]
In line 26 iu should be (i-1)u
p. 16 In example 1.13 the final equation should be
= S[n-1] (not = S[n])
p. 39 In line 15, the final a[i,j], after m[i,1], should be a[1,j]
p. 56 The Greek letter Kappa should be replaced by cond
p. 63 In the output for Example 2.14, the condition number should
be 113.7857142857143
p. 68 4th line from the bottom:
m d should be m e
k+1 k k+1 k
p. 69 In line 23, Exercise (2.15) should be Exercise (2.19)
p. 79 Last line: bfx should be x (in bold face)
p. 134 In line 17, change function to f(x) = x sqrt(abs(x-1))
pp. 171-2 All occurrences of ln(x) should be ln x
p. 190 Figure 5.6: the reference to Example 5.8 should be
Example 5.7
p. 226 In the next-to-last equation K_3 = F should have a
boldface F, not underlined.
p. 244 First paragraph: twice ODE/STEP/INTRP should be
ODE/STEP,INTRP.
p. 250 In Exercise 6.28 the final differential equation should
be
epsilon n' = -nE + epsilon.
p. 256 (2.11) COND is 7.
p. 256 (2.13) COND = 14370.07
p. 256 (2.15) COND = 118.94
p. 257 (2.17) COND = 6.061
p. 257 (2.21) COND = 32.35
p. 258 (3.21) should be c_1 = f"(x_1) / 2
c_N = f"(x_N) / 2
First Printing
==============
p. iv order of authors' names
p. 14-5 all occurrences of 0.123456E-4 and 0.120000E-6 should be
0.123456E-3 and 0.120000E-5, respectively
p. 18 missing x (after the -(x1+x2) term)
p. 20 limits on sums should be n = 1 to N, not 0 to N (5 places)
p. 29 In Exercise 1.17 the formulas for hat s_m and hat c_m have
the wrong sign when first introduced; the text should read
"... are computed incorrectly as ... = ... - ... and
... = ... - ...".
p. 34 The superscript (k) on b_i in the last line should be (2).
p. 35 The first term in the first equation of (2.9) is missing
an x_1 factor.
p. 37 27 should be 2 in first line of "one step of elimination"
p. 38 In the final displayed equation there should be an x_j
factor in the summation just ahead of the ).
p. 61 Exercise 2.9a, the unit roundoff should be 10^{-8}
p. 66 incomplete brackets on matrix
p. 79 incomplete brackets on matrix (2 places)
p. 80 incomplete brackets on matrix (4 places)
p. 87 at bottom, Figure 3.6 and Figure 3.7 should be 3.5 and 3.6.
p. 114 in Example 3.11 reference to Figure 3.2 should be Figure 3.5
p. 150 in Exercise 4.8 "approximation to x" should be "... y"
Figure 5.4 label should be
a (a+b)/2 b
not
a b c d e f
pp. 252 - 254 Numbers (1 - 10) are missing on the respective Theorems.
p. 255 (1.5) final equality should be
approximately = 2 epsilon x / (x - 1)
+ epsilon^2 x^2 / (x-1)^2
The last quantity becomes infinite as x approaches 1
from the positive side.
p. 256 (2.4c) x_1 = 38 or 39 depending on assumptions made.
p. 256 (2.9a) that is, +- 0.00126
p. 256 (2.13) COND = 14370.07
_ _
| 98.333 -198.667 100.000 |
-1 | |
A = | -199.333 399.666 -200.000 |
| |
|_ 100.000 -200.000 100.000 _|
Errors in the Solution Manual
===========================================================================
First Printing
==============
1.5 as on p. 255 above
2.4c as on p. 256 above
2.9a as on p. 256 above
2.9b +- 0.122
2.11 as on p. 256 above
2.12 COND = 10.43
2.13 as on p. 256 above
2.14a COND = 748
2.14b COND = 5053.28
2.15 as on p. 256 above
2.16 COND = 6.69E+16
2.17 as on p. 257 above
2.18 COND = 4940.90
2.20 COND = 72.78
x[2] = 0.9312E-7
x[4] = 0.1581E-4
x[6] = 0.4647E-5
2.21 as on p. 257 above
3.4 COND = 1.15E+11
3.6 COND = 1.32E+24
3.12 N = 15 0.04660
N = 21 0.01533
N = 27 0.00463
3.20 equation reference (3.32) should be (3.40)
equation reference (3.33) should be (3.41)
equation reference (3.36) should be (3.44)
3.21 see p. 258 above
3.24 condition numbers drop from 10^36 to 10^13 to 10^3