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
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As.de
pestsI AT D
a E
11
Nh IR
A f f m.mx ld
lRiHHdlC
mf mrt2I
IIT
Last timelo s G magic thm
p Forms 27
Exact 1 harm 2 hem co norm
11 Ff Has maxllattlpl 101 151
it mad laity ipl.com
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He Festina
HC 3 It
t.EE KEIICHIH Hoo
in lieii
IF ii a HEN
wmax z ru Su
ni Ina
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SAs f y
Akil 191 may 9
AC b 29
ACT a
ACI is
So11 All maxi51 1 41 111 121
Interpolation Tangent Line
e.g Xo 5 X 5 E E small
KayoHi y
sP at ax
µ
Cot 5C Yoco 16 49 4
At bt
c His is
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a Lisa a Ei isf
t
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
I co S c yo
µI co Ste G y
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lie 154 Yo IgEC y Yo bad aso
tfgi.coxsgi.ie