Slides12-Faster Matrix Multiplication-after-class

Slides12-Faster Matrix Multiplication-after-class - Maui'th...

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Unformatted text preview: Maui'th qu an. at; " ' " an 6L2.1 ~ ' A: as?» \ \ l O \ l .. l “ML " " " ‘ “mm 0L9“ chevs' {0 #9. W I}: 7/49. [7% Row and MJWq Coax/WV. row 51% afiways 2432.: firsé. Far- +odaflz ASS ume. «5%UOPL mach-Lats. Fas‘tr MOA’EIX MMH’.\~Pll'CO\"’i0/l Note Title 10/29/2007 Wc Com clere. a J—‘a‘sJ—cr form 09- WIOL'I'r‘lX WIMH'iPhCOCHOfl in -l-e,rvn.s 0‘]?- MM 4— MA 1‘ 1‘ 3” Ban M, Mal-:1): Mulhrlmh... MM"- LQ'FLS S-Fo-r" w.t+h "IDA-fix AQUA-«on, MCcFrfx “3401- on (M A) Note Title 10/29/2007 A? C=A+B, +hen mud“ M=n Adah/13 +wo mac-Irma: Qn Qu- + bu bu. adverb“ Qu"b-z 02.: 02.2. baa bu, : Gui-bu au‘rb‘b + ‘3 = C. Exqmplc 2 (‘ 3H" W43 7 5- '7 c ? H Is In smem‘: (Q1; an.) + bu Em. C“ C”. 02.1 022. baa Ln. : Cal C22.) + 3 = Q Where. CLJ=GLJ +b1j . 01-?- ‘H’lc ImoAnx 13 mm, MA ts an h” 0‘ ori—Hnm (one, oddthon ‘Por conch F08! ton m The C, mod-rue), lb Oil: addchan Hm“ nzPOsl-Iwns g "a 50 -For «1X1, 'H'Ierc are, 40th-Hons, MOA’nx Mu\"\';P\\ca\-"lon (MM) I—P C=é*§,+hen Leigh“ Mt“ nxp mtnsf MuH-nplymj ‘HUO ma+rtce3: (an an) I,“ 5‘. (an-bu+a.z-bu)(au-bn+a.gglg 02.: 32;, b3! b2; : (Qu'bn *‘O‘n' ban (Q2..' 514—012sz ' B C Emeple i z 3 ). 2 4 = 2m M24 _ 2.0 1% .5. -, c 9 lawn. 101,56 - S). 76 In gmem‘ 1 (an an.) . bu bu) (cu cu 02.: 02:. ba: \Du. : Cal C12.) A ' 1 '3 = c Where. Cid = (“k 'b'é) 50 L? 'H/Ic Mot—VHK ls nxn, MM t3 an h3 a‘dor‘H‘l—‘m (n muH-{PlicoJ-[M Rar- eatk FosH-lon In ‘Hne C. maul-ax). U n. MMH'IPlaca-l-tons (and 0-! aJJanns> Hmes I!“ Post-Hons .—. n3 (me!) 50 —For .211, H’Icn'. owe ‘l'-(2M+IA) = 8 mul+lf>llcm+lon5 4- ‘l-aJJd'uns. Who} '19 we 1’10th a pair: 01‘» 8X 8‘ Mod-nee: +0 muH—tply? an a.9_ .... an} bu biz, .. . . . bl! a3: bu : . I Gm 57: Could we. subdwlcle +haproblem? i C_‘_‘. : an ‘bu4’au 4924+ . . .441"! '54: Clem +- Qw°b5n+ . --. -.+Qog‘b?| Which ms Whal— we, o-l-al as 4x(2M/~4 + JMA> wl/wd— ts +he overall run-H'me :7 Us'm bru+c Rance dgori-SMMS +Fso+ we. sow) ember, we <3er Pun-Hm OP : MMcn) = ow) MACn) .: ow) we, use, CIR/162 +00 uer a (Dado abovc, Wha-l- do giggle-P3) (nxn3.(nxn) -—__-> (Jinxén) ( ) (ikdh)( ) ( > ( ) ( N > 5c: ... MM(n) : Lf[2MM(£) + MA 6%)] :: 8MM + HMA TIN-cont. we so 0M Hue wwj down +0 +he base—f ‘33.?“ ...; Ac Instr. Casc= MM(&)=8M +'+A. mme + «Add-m. Le-Ps assume. MA Can”)- be. done in beH—er WA 0019') Mme. 4 9;»):0 ‘ MMCn)=9MM (9;).L0Cn1) ( (h) We can apply mm'l—cr MW. (1 =2 M33: n3 baa ‘Fofiznz Whudq case. \{L QPPllcS :7 Hm): N e OOA’) “‘3”- So MM(n\:@(!\’) Theomm 4‘— Wc had CL W003 4'0 mulJ’t'Fly Me an: modn'cca using only 7 mul-J-leiccd-lon — U ‘rhen we. 02>le t'mPr‘ove. +242, hum-Fume o“— +he general YWCA—{:06 muI-l—“Phiai-zor) Problem —Prom 0013) . ASSMMWI 4—w9 3X1 mm+r1c<3 con be . ULH—tPlieal using 7 mul +? p L cod- {on Tau-Fions anal \/ add L-Hon Opera cons: MMCrfl : 7-MM(%:) + y~MP<(—';-) = 7- MM(-'a’-.) 4- 001°“) we con apply Whfl—cr MW. 0 =7 n‘°3*7-— n“— bsz 'Fcnknz Whuch case. Whlch 15 WP "H’bn Y‘s mn-Hme, ugwa GDufiéJima) .ZE§_-+hewc a.ww%,+hm%w0¢,aw1 mul—hpl -\-—wo 2.5:. moA—wiw Lei-Ha om mul—l—xPlecod—wrx opera-Hons an a Cona‘J-ow} mum by 04‘— Odom-ton OperahOAS? 2. Do 3m}; “Hm/1k +hovl— fire/Lbs 0mg (Agog wt can do moH—nx mul+lpltcodwv m bc+—I—cr 1140.0 1’)2 +tme? Who): C m 9 Muflh‘fléf": c: KL Noah/ix 9% “fl MWQJH‘O ucad'fcns I? Q ~ Cu Cu. g aubu+alzb2| N‘bw" qlz‘Lu Ca, Ca ambumulou «album L 33 2:.- PL 2 (“u 4’ C‘LL)(b|( 4 1’24.) PL: (“LL+G\LL)bH 36 P3: (alocth-sz) y {7‘1 : (“2.2.7 (L2,, — bu) PS’ : (an + C‘u—XL‘LL) $0 31 mwh‘puc—«b‘onr [8 addih‘uvq a1 sdahquh‘ons‘ So TOO = 7 T 4- {,8 (9099) m? VMH\$ (3". H. Law“ Baud ‘Cw- Math/ix Muflx‘ph'cah'on If C‘AB, WWAMAB am mm ma:l~rt°c¢.s Than C has n" ¢lemw+s. 50 ‘owor bound is M- luwé n1. ...
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This note was uploaded on 01/13/2012 for the course CMSC 351 taught by Professor Staff during the Fall '11 term at University of Louisville.

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Slides12-Faster Matrix Multiplication-after-class - Maui'th...

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