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Cornell University

Charles Van Loan

GVL4_Errata

PageThe Mistake
xiiIn the Acknowledgements, Terkelsen not Terkelson, Balzano not Bolzano  and there are 2 “through” ‘s
xixhttp://www.cs.cornell.edu/cv/GVL4/golubandvanloan.htm   is better than http://www.cs.cornell.edu/cv/GVL4/
11At the beginning of section 1.1.14, should be Consider the kji variant…
204th line from bottom, v = [n 1:n-1].
28In the middle, X is n2-by-n1 , not n1-by-m2
29In line 3, should be   … can be computed …    instead of   … can computed …                               At the very end of section 1.3.8, should be “section 12.3” not “section 13.1”
41In P1.4.2, the subscript ranges should go up to n, not n-1
41Algorithm 1.4.4, should have y(1:2:n) and y(2:2:n)
97 It should be -q in the numerator in the Method 2 recipe for rmin
120Algorithm 3.2.4, it should be stated that   n= Nr  is assumed.
1613rd line in Cor 4.2.4 proof: An L^{-1} should be an L^{-T}
181Algorithm 4.3.6, 2nd loop, should be  b(k) = b(k) – beta(k-1) * b(k-1)
236In Alg 5.1.1, beta should be set to +2 (not -2) in the elseif part.
237Missing right paren in th erecipe for \beta in (5.14)
238Should be 2pn(2m-n) in first line at the top of the page.
261In equation (5.3.3), upper limit in the summation is “m”, not  “2”.
266In (5.3.11) at the top, should be “x_{LS}” in the lhs denominator, not just “x”
399In Algorithm 7.6.3, replace the k=j+1:q loop with                                                                       for k=j:q, T{i,k} = T{i,k} – Z*T{j,k}; end                                                                               for k=i:q, T{k,j} = T{k,j} + T{k,i}*Z; end
402Trailing 3×3 in the displayed matrix at the top should be [lambda 0 a; 0 lambda b; 0 0 lambda].
455Missing sqrt in last equation in proof. Should have \sqrt{1 – d_{0}^2}
458So that A is overwritten by Q’AQ = T, must set A(k+2:n,k) and A(k,k+2:n) to zero each step
493Should be (4m^2)n + 8m(n^2) in line 3 of the table.
517(9.1.8) should have    X^{-1}f(A) X     not    X f(A) X^{-1}
534Top line: (7.9.8) not (7.8.8). And in  P9.3.4, solution should be F_{22}^TF_{12}.
537Near the bottom: S^2 = I  not S^2 = S
538Missing right paren in (9.4.5)
542In P9.4.1, should be X^{-1} = A  not  X^{-1} – A
558In the recipe for R_{G} at the bottom, should be “2k” not “2n”
560 The recipe for sigma in step 3 should be multiplied by || u ||^2 . (because \int p_{i}(lambda)p_{i}(lambda) = || u ||^2 )
561Last line of \S10.2.5: Should be \beta_{k}^{2} not \beta{k+1}^2.
575In equation (10.4.18), should be beta_{n} and \beta_{n+1} in the last two rows.
583In the displayed equation AQ_{+} = … , add the term H_{+}(j+1,j)*Q_{+}(:,j+1) to the rhs. Modify “Replace r_{c}” line in the loop below accordingly.
685In Alg 12.1.1, should be \alpha = a_{1} not \alpha = a_{11}
728Table at the bottom. Line 3: I_{m1} for  I_n1. Line 4. I_m2 and I_m1 for I_n2 and I_n1. Line 5: I_m3, I_m2 and I_m1 for I_n3, I_n2, and I_n1.
735in section 12.5.4, the “\dotcircle” operator is the Khatri-Rao product operator based on column-partitionings, e.g. [a1 a2 a3] \dotcircle [b1 b2 b3] = [kron(a1,b1)  kron(a2,b2)  kron(a3,b3)].
738At the top, the multiple Hadamard product inside the norm should be transposed.
743In (12.5.29), G_1 = U_1 just before the loop.