Errata for the book
J. Liesen and Z. Strakos
Krylov Subspace Methods: Principles and Analysis
Oxford University Press, Oxford, 2013
(Last updated on January 5, 2016)
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p. 8, Figure 1.3: "self-adjoint" in the box "Foundations ...".
p. 37, l. 11: The norm should be squared, i.e., $\|V_n z\|_A^2$.
(*) p. 67, l. 15: $v_2 = A v_1$.
p. 129, l. -1: It should be $\theta_{M-1}^{(M-1)}$ in the last bracket.
p. 197, l. 17: It should be {\bf A} (i.e. bold A).
p. 198, l. 18: "the operators $A^\times A$ and $A A^\times$ are equal".
(*) p. 220, l. 22: "degree $n-j$" instead of "degree $j$".
p. 249, l. -17: "with upper and lower triangular matrices"
instead of "with an upper triangular matrix".
p. 250, l. 2: In the brackets it should be
"(for $z_1=b$ and $z_j=Az_{j-1}$, $j=2,\dots,n-1$, this gives ...)".
p. 263, Theorem 5.6.3:
Formula for $\|x-x_n\|^2$: Put $\lambda_j^{2n-2}$ after $\omega_j$.
Formula for $\|x-x_n\|_A^2$: Put $\lambda_j^{n-1}$ after $\omega_j$.
(**) p. 266, equation (5.6.20): $\lambda_j$
instead of $\widehat{\lambda}_j$ on the LHS of the inequality.
p. 281, l. 23: "computed by the MATLAB command {\tt randn}"
instead of "ranging between 0 and 1".
(*) p. 296, l. 10: $\lambda_\min(M)^2$ on the RHS of the inequality.
p. 307, footnote 12: "... are free unit charges on $(-1,1)$ and two
are positive charges at $-1$ and $+1$" instead of
"... are zero and two are given".
p. 308, l. 4: Replace "nonlinearity" by "irregularity".
(*) p. 318, equation (5.8.16): Numerator on RHS should be
$x_p^* A^* b$.
(*) p. 364, reference [307]: Correct page numbers are 1335-1597.
(*) p. 365, reference [324]: Three author names should be corrected
as follows: M. Ple{\v{s}}inger, D. M. Sima, S. Van Huffel
(*) p. 374, reference [489]: Delete "and" in the title.
(*) p. 383, reference [670]: "1965" instead of "1963".
(*) Corrected in the second printing of the book ("Impression: 2", December 2013)
and in the paperback edition (March 2015).
(**) Corrected in the paperback edition (March 2015).