✐ ✐
ERRATA
The Matrix Eigenvalue Problem:
GR and Krylov Subspace Methods
David S. Watkins
SIAM, 2007
ISBN 978-0-898716-41-2
August 9, 2017
This list does not include minor spelling and grammatical errors that the reader can easily diagnose. I have tried to restrict the list mainly to mathemat-ical typos and other items that could cause confusion.
p. 71 On the second line of the second paragraph, U2 = R(U)2 should be
U2=R(U2). (corrected in 2nd printing)
p. 83 On line 10, ˆS=R(S1) should be ˆS=R(S1). (corrected in 2nd printing)
p. 93 On line 17, B(t) should beBt. (corrected in 2nd printing)
p. 209 On line 8,T2=−D− 1
should beT1=−D− 1
.
p. 210 In Exercise 4.9.6, replace symbol QbyT as follows: “Notice thatT is orthogonal. What are the eigenvalues ofT?”
p. 223 Just before Corollary 5.2.4, ˆρ→0 should be ˆρi→
0. (corrected in 2nd printing)
p. 240 In the third line of Exercise 6.2.3, “bottom row ofR.” should be “bot-tom row ofB.”
p. 267 In the seventh line of the proof of Theorem 7.1.2,x= (A−ρBz) should
bex= (A−ρiBz).
p. 342 On line 8,U1=Q∗1AQ1 should beU1=Q∗1U Q1.
p. 343 On line -3,Q∗
3W2 should beQ∗3U2.
p. 366 On lines 17 and 18, “introduce zeros in rowsm−1,m−2, . . . , 3” should
be “introduce zeros in rowsm,m−1, . . . , 3”.
p. 432 In reference [155], the author is “Miminis”.