5.25 (Jiang et al. 2001a) let b > 0 and a, ci, 1 i n...
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5.25 (Jiang et al. 2001a) let b > 0 and
a, ci, 1 ≤ i ≤ n be real numbers. Define the following matrix A =
⎛
⎜⎜⎜⎜⎜⎝
1 a 0 · · · 0 a d c1
· · · cn 0 c1 1 · · · 0
...
...
...
. . .
...
0 cn 0 · · · 1
⎞
⎟⎟⎟⎟⎟⎠
, where d = a2 + b +
n i=1 c2 i . Show that λmin(A) ≥ b(1 + d)
−1.
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