relp fx a condp is maxjf/courses/303.s2020/scans/01_29.pdf · mf mrt2 i iit last time lo s g magic...
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CPSC 303 pet especially p 1,2asAtsb
definition Relp Fx A 3condp A is Max
5 5Relpkbn.by
iii iii iiMagic maximum loss of relative p norm
error in solving A I
theorem condp A HAH HA Hp From.IT s
fairly easy to approximate
Sector 5.8 of A G i n lo too or 104,105
Us n 2,3 CCL111 4
Fact condp A HA Ilp IIA Hp 31
We fix p l pics 1,2 A is nxn
HATHHAHp Max TWPhow much
T to A streoles avector in p norm
As.de
pestsI AT D
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Last timelo s G magic thm
p Forms 27
Exact 1 harm 2 hem co norm
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AC b 29
ACT a
ACI is
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Interpolation Tangent Line
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cmdplm.lk Hp 11 I 7 Hpmax entry bemasks5 6 I normS 15 4W E f mastssadmat 5,5 4 E norm E 2 meals Stc
As e o and f e roughly conest one
within factor of 4OL E d al it
5 E firearm E 2 5 a sq e FEL E 2 SEI
G E cand CA E 44 5.01
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