Errata for GVL4

Last Updated: 10/19/2014

 Page The Mistake xii In the Acknowledgements, Terkelsen not Terkelson, Balzano not Bolzano  and there are 2 "through" 's xix 11 At the beginning of section 1.1.14, should be Consider the kji variant... 20 4th line from bottom, v = [n 1:n-1]. 28 In the middle, X is n2-by-n1 , not n1-by-m2 29 In 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" 41 In P1.4.2, the subscript ranges should go up to n, not n-1 41 Algorithm 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 120 Algorithm 3.2.4, it should be stated that   n= Nr  is assumed. 161 3rd line in Cor 4.2.4 proof: An L^{-1} should be an L^{-T} 181 Algorithm 4.3.6, 2nd loop, should be  b(k) = b(k) - beta(k-1) * b(k-1) 236 In Alg 5.1.1, beta should be set to +2 (not -2) in the elseif part. 237 Missing right paren in th erecipe for \beta in (5.14) 238 Should be 2pn(2m-n) in first line at the top of the page. 261 In equation (5.3.3), upper limit in the summation is "m", not  "2". 266 In (5.3.11) at the top, should be "x_{LS}" in the lhs denominator, not just "x" 399 In 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 402 Trailing 3x3 in the displayed matrix at the top should be [lambda 0 a; 0 lambda b; 0 0 lambda]. 455 Missing sqrt in last equation in proof. Should have \sqrt{1 - d_{0}^2} 458 So 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 493 Should 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} 534 Top line: (7.9.8) not (7.8.8). And in  P9.3.4, solution should be F_{22}^TF_{12}. 537 Near the bottom: S^2 = I  not S^2 = S 538 Missing right paren in (9.4.5) 542 In P9.4.1, should be X^{-1} = A  not  X^{-1} - A 558 In 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 ) 561 Last line of \S10.2.5: Should be \beta_{k}^{2} not \beta{k+1}^2. 575 In equation (10.4.18), should be beta_{n} and \beta_{n+1} in the last two rows. 583 In 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. 685 In Alg 12.1.1, should be \alpha = a_{1} not \alpha = a_{11} 728 Table 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. 735 in 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)]. 738 At the top, the multiple Hadamard product inside the norm should be transposed. 743 In (12.5.29), G_1 = U_1 just before the loop.