Errata for first printing of
Parameter Estimation and Inverse Problems,
2e
February 28, 2013
On page 285 in Equation A.11 the second Equation is supposed to be x2 + x3 = 0 rather than x1 + x3 =0.
On Page 162, just before Equation 6.94:
Specifically, to solve for the kth product $\by = \bR_m$...
Should be
Specifically, to solve for the kth product $\by = \bR_m \bv_k$..
(the vector v_k) is missing.
In Exercise 6.2:
a. Implement the Landweber iteration and apply it to the Shaw problem from Example 4.3.
Should read
...from Example 3.3
In Exercise 6.3b, Equation 6.99:
The x should be bold.
In Exercise 6.3c, Equation 6.102 should be:
\rho_k = \sqrt{ \| x_k \|_2}
In Exercise 6.6:
n x n" should be "n by n...
Exercise 7.4 should read:
Returning to the problem from Example 5.1 and Exercise 5.1, solve for the density profile of the Earth using total variation regularization. How does your optimal solution compare to that obtained in Exercise 5.1?
In Exercise 8.4 (a):
Approximately what water level do you believe is best for this data set? Why
Should read
Approximately what value of $\alpha$ do you believe is best for this data set? Why?
In Exercise
8.4b:
Delete the self-referential See... sentence in part (b) (bold below):
(b) Perform second-order ( p = 2), frequency-domain Tikhonov deconvolution to
solve this problem. See Exercise
8.4(b).
On p. 269, Equation 11.37 is missing a leading parenthesis (after "min").
Figures 3.11, 3.13, 3.14, 3.15 in Example 3.2 (pp. 78-80) are missing a square on their y-axis labels( they should all read "Acceleration (m/s^2)" ).
On page 120, in Theorem 4.1, it should be noted that the theorem also requires that 0<= alpha <= 1. In practice we can always rescale G and d to move alpha into this range.
On page 66, in the line between Equations 3.87 and 3.88, V_.,1 should be U_.,1
On page 116, in the line below Equation 4.69 in right hand side of second Equation , the "~dk" should not be bold.
On page 135, the second line below Equation 5.39 should read "Combining (5.38) and (5.39) gives"
On page 62, in (3.58), the V_.,i terms in the numerator should each have a bold V.
On page 220, in the second paragraph of Section 9.3, the first sentence should read "constrained by an m-length data vector, ..."
On page 76, it is stated that example problem 3.2 is mildly ill-posed. It would be more accurate to state that it is "moderately" ill-posed. Plotting log(s(i)) vs. log(i) shows a slope of about -2 (alpha=+2), indicating that the problem is indeed moderately ill-posed.
On page 257, in Equation 11.8, d_n should be d_m.
On page 238, in Equation 2.58, in the third line, there should be a transpose on the last m_L2 on that line.
On page 238, in the text preceding Equation 2.59, G_2^T should be G_w^T.
On page 244, where Equation 10.9 defines the Jacobian, the lower part the second term (upper right of the matrix) is missing its partial derivative sign.
On page 145, Example 6.1 refers to Exercise 4.4, but should refer to Exercise 3.4.