relp fx a condp is maxjf/courses/303.s2020/scans/01_29.pdf · mf mrt2 i iit last time lo s g magic...

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

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

He Festina

HC 3 It

t.EE KEIICHIH Hoo

in lieii

IF ii a HEN

wmax z ru Su

ni Ina

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

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

lie 154 Yo IgEC y Yo bad aso

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