Jl. HR. Soebrantas No. 155 Simpang Baru, Panam, Pekanbaru,

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1 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN 6-5 Metode Guss-Sedel d Geerlss Guss-Sedel utuk Meyelesk Sste Pers Ler Kopleks Cotoh Ksus: SPL Kopleks deg pers d vrel tr ry, Le Tr Lestr, Jurus Mtetk, kults Ss d Tekolog UIN Sult Syrf Ks Ru Jl. HR. Soerts No. 55 Spg Bru, P, Pekru, 89 l : khodjh_ftr@u-susk.c.d, letr_lestr@yhoo.co BSTRK Sste Pers Ler SPL erupk sste pers yg terdr dr du tu leh pers ler. SPL d eerp etuk, SPL rl d SPL kopleks. Tuju dr SPL utuk edptk solus yg eeuh pers yg derk. Metode Guss-Sedel d geerlss Guss-Sedel erupk slh stu etode yg yk dguk utuk eechk slh pd sste pers ler. Peelt eyelesk SPL kopleks yg erukur ept pers d ept vrel deg egguk etode Guss-Sedel d geerlss Guss-Sedel. Syrt SPL dpt dselesk oleh etode terseut eeuh Strctlly golly ot S, ersft setrs d deft postf. Berdsrk hsl yg dperoleh hw SPL kopleks dpt dselesk deg etode Guss-Sedel d geerlss Guss-Sedel. Ktkuc : Geerlss Guss-Sedel, Metode Guss-Sedel, Sste Pers Ler Kopleks, Strctlly golly ot. BSTRCT The Syste of ler qutos SPL s equto syste cosstg of two or ore ler equtos. Guss-Sedel ethod d geerlzed Guss-Sedel s oe of y ethods used to solve proles the syste of ler equtos. I ths fl tsk, the uthor copleted cople syste of ler equto of four equto d four vrle usg Guss-Sedel ethod d geerlzed Guss-Sedel. The ters of SPL c e solved y such ethods s Strctlly golly ot S, postve syetrc d postve defte. Bsed o the results tht SPL cople c e solved y the Guss-Sedel ethods d geerlzed Guss-Sedel. Keywords: Geerlzed Guss-Sedel, Guss-Sedel Methods, Cople Systes of Ler qutos, Strctlly golly ot. Pedhulu Peelt vod Khojsteh slkuyeh pd Thu 7 deg judul Geerlzed Jco d Guss-Sedel ethods for Solvg Ler Syste of qutos yg ehs tetg sste pers ler deg, deg trks o sgulr d etr dgoly tdk ol k trks der pesh ytu: deg dlh trks dgol dr, trks segtg wh dr, d dlh trks segtg ts dr Mk defs dr etode Guss-Sedel k k eg syrt dlh trks setrs. Ls Mrle eyelesk tulsy Pd Thu deg judul Perdg Solus Sste Pers No Ler Megguk Metode Ttk Tetp d Metode Guss-Sedel.

2 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN 6-5 Seljuty, pd Thu dr Rdh, dkk elkuk kj ulg dr peeltpeelt seeluy deg judul Geerlss Metode Guss-Sedel utuk Meyelesk Sste Pers Ler. Kj yg dlkuk oleh dr Rdh hy fokus utuk eyelesk perslh sste pers ler dl etuk rl deg egguk etode Guss-Sedel sert geerlssy yg k derk cotoh. dpu etuk geerlss etode Guss-Sedel yg dksud peuls dlh : deg,,,,,, d,,,,,, deg utuk Geerlss Guss-Sedel utuk Pers dpt ddefsk seg erkut : k k Berdsrk tuls-tuls terseut yg ehs pd sste pers ler deg lg rl, sste pers o ler, k peuls tertrk utuk eut eerp cotoh ksus egguk etode yg s deg egguk sste pers ler kopleks. Bh d Metode Peelt Berkut lgkh-lgkh etodolog peelt utuk peyeles sste pers ler kopleks deg vers trks egguk etode ddeev dlh seg erkut:. erk sste pers ler kopleks.. Meguh sste pers ler kopleks dl etuk pers trks. Meerks pkh trks eeuh syrt utuk dselesk deg egguk etode Guss-Sdel d geerlss Guss-Sdel, ytu trks ersft o sgulr, Strctly oglly ot S d ersft setrs. Jk tdk eeuh syrt sesu defs k SPL tdk dpt dselesk deg etode Guss-Sedel d geerlss Guss-Sedel.. Peyeles SPL kopleks deg etode Guss-Sedel

3 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN 6-5. Mejrk trks,, pd etode Guss-Sedel.. Keud edptk etuk trks, d. Sert derk tek wl T ] [,,,. c. Megguk pers etode Guss-Sedel k k utuk elkuk ters. d. Setelh dlkuk ters hgg,, k ters dhetk. 5. Peyeles SPL kopleks deg Geerlss Guss-Sedel dpu lgkh-lgkh yg hrus dlkuk utuk eyelesk SPL kopleks pd geerlss Guss-Sedel utuk,,... ytu :. Mejrk trks,,,pd geerlss Guss-Sedel.. Keud edptk etuk trks, d. Sert derk tek wl. [,,,] T c. Megguk pers geerlss Guss-Sedel k k utuk elkuk ters. d. Setelh dlkuk ters hgg,, k ters dhetk. Hsl d Pehs Pehs yg dlkuk pd peelt dlh eerk cotoh ksus utuk peyeles SPL kopleks yg sesu deg etodolog peelt. Cotoh: erk ste pers ler kopleks ept pers d ept vrel seg erkut d k dselesk deg etode Guss-Sedel d geerlss Guss-Sedel Sste pers ler dts dpt dtuls dl etuk k dperks pkh trks eeuh syrt utuk dselesk deg egguk etode Guss-Sedel d geerlss Guss-Sedel.. Mtrks o sgulr k dperks trks ersft sgulr tu o sgulr deg ecr deter trksy.

4 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN det Berdsrk hsl yg dperoleh, k dpt dspulk hw trks ersft o sgulr. Terukt hw. det. Mtrks ersft Strctlly golly ot S k dperks pkh trks ersft S. ersft S jk eeuh j j j,,... Berdsrk trks k dperoleh Berdsrk hsl dts hw trks ersft S.. Mtrks ersft Setrs Mtrks ersft setrs kre T, d j j utuk setp,...,, d j,...,, T

5 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN kre T. Sehgg k trks eeuh seu syrt utuk dselesk deg egguk etode Guss-Sedel d geerlss Guss-Sedel.. Metode Guss-Sedel: Sste pers ler dts dpt dtuls dl etuk deg k djrk trks, d pd etode Guss-Sedel, ytu :,, Seljuty k dcr,,. d. deg egguk progr Mple.,8,86,6,55,85,5,65,8,8,86,97,9,7,68,8,86,9,97,8,86,8565,79,,9,7,9799,6,586.,,8,8,5,5,,.,8,,8,98,7,7..,,75,7,85,,,.,,,,7,,5,.. Berkut hsl ters yg dperoleh egguk progr Mple deg pers

6 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN 6-5 Tel Iters Ksus Megguk Metode Guss-Sedel,,,,,586,6,98,7 -,9, -,7,856,78-,6,999-,9 -,89-, -,57+,77,7997-,577,96-,859 -,85-,95 -,69+,787,78-,5,97-,9 -,-,9 -,655+,7 5,7896-,97,96-,97 -,7-,995 -,687+,798 6,788-,98,966-,97 -,86-,98 -,68+,78 7,788-,99,966-,98 -,8-,98 -,68+,75 8,788-,957,966-,98 -,8-,98 -,68+,76 9,788-,95,966-,98 -,8-,98 -,68+,75 Berdsrk Tel dpt dspulk hw proses ters dhetk setelh ters seyk kl, hw,,,,,. Sehgg l yg dperoleh :,788,95,966,98,8,98,68,75. Geerlss Guss-Sedel Utuk eyelesk sste pers ler deg geerlss Guss-Sedel, dpt dplh l dr preter {,,.., } sedek sehgg : utuk deg, 6

7 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN Seljuty k dcr,, d progr Mple. deg egguk,8,58,5,88,758,5,8,78,57,8,896,59,99,7,57,68,567,7,9,5,7695,58,5,,8,68,68,67,69,759,76,8.,.,..,.,.,.,.,.,6,8,,5,767,87,79,,6,7,697,,78,586,79, ,855,95, ,658,68,79 Berkut hsl ters yg dperoleh egguk progr Mple. Tel Iters Ksus Megguk Metode Guss-Sedel = N,,,,,5868,9,95,99,7,66,68,79,8,56,97,89,,,6,766,796,67,5,9,,8,66,78,796,76,7,9,5,8,665,78 5,797,7,7,9,5,8,665,78 6,797,7,7,9,5,8,665,78 Berdsrk Tel dpt dspulk hw proses ters dhetk setelh ters seyk kl, hw,,,,,. Sehgg l yg dperoleh :,797,7,8,9,5,8,665,78 7

8 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN 6-5 utuk deg k k.,,.. Seljuty k dcr,, d deg egguk progr Mple.,7865,7,8,695,7,878,9,7,787,88,7975,676,7,587,,5,67,57,7,57,78,5,7,9,,8,858,95,6,65,58,78,5..,.,.,.,...,.,.,.,.,.,.,,,9,7,8,,5,6,6.,5866,5978,98,76,65,5,57,786 Berkut hsl ters egguk progr Mple. Tel Iters Ksus Megguk Geerlss Guss-Sedel =,,,,,5866,5978,98,76 65,5,57,786,77,9,,9,,968,6,76,788,5,7,95,,,668,788 8

9 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN 6-5,789,8,6,9,9,,669,78 5,789,6,6,9,9,,669,78 6,789,6,6,9,9,,669,78 Berdsrk Tel dpt dspulk hw proses ters dhetk setelh ters seyk 6 5 kl, hw,,,,,. Sehgg l yg dperoleh :,789,6,6,9,9,,669,78 utuk deg k k.,,.. Seljuty k dcr,, d deg progr Mple., 9

10 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN 6-5,859,6,567,6888,65,7,95,986,567,6888,85,66,897,,885,9,65,7,897,,,76,,65,85,95,986,885,9,65,85,8,.,.,..,.,.,.,.,.,.,.,.,.,.,.,.,.,,798,75,7,9.,,8,665,78 k k k. k.. k kre sehgg l Sehgg l yg dperoleh :,798,75,7,9,,8,665,78 solus dhslk tp proses ters. Kespul Berdsrk pehs seeluy k dpt dperoleh kespul, ytu:. Peyeles SPL kopleks dpt dselesk deg egguk vers trks egguk etode Guss-Sedel d geerlss Guss-Sedel.. Peyeles sste pers ler kopleks d Hert pd peelt erupk cotoh ksus utuk trks ukur solusy erup lg kopleks. ftr Pustk [] to, Howrd. ljr Ler leeter, ds Ketg. Jkrt : Peert rlgg [] to, Howrd, sr-dsr ljr Ler, ds Ketujuh, Bt : Peert Iterksr.. [] to, Howrd. leetry Ler lger, Ne dto. Joh Wley, New York.. [] Hdley, G. ljr Ler, Jkrt : Peert rlgg. 98.

11 Jurl Ss Mtetk d Sttstk, Vol. No. Jul 6 ISSN 6-5 [5] Lpschutz, Seyour. ljr ler, ds ketg. Jkrt : Peert rlgg. 6. [6] Mrle, Ls. Perdg Solus Sste Pers No Ler Megguk Metode Ttk Tetp d Metode Guss-Sedel. Tugs khr Mhssw Uversts Isl Neger Sult Syrf Ks Ru. Pekru.. [7] Ncholso, W. Keth. leetry Ler lger, rst dto McGrw-Hll, Sgpore.. [8] Plours, Joh.. Peuh Kopleks. Sury : Peert rlgg.987. [9] Rdh, dr, dkk. Geerlss Metode Guss-Sedel utuk Meyelesk Sste Pers Ler. JOM MIP Volue No. Oktoer. [] Slkuyeh,.k. Geerlzed Jco d Guss-Sedel Methods for solvg Ler Sste of qutos. Nuercl Mthetcs, jourl of Chese Uverstes, 6 : [] Spegel, Murry G. Peuh Kopleks, Bdug : Peert rlgg. 96.