Indlela yeSeidel-Gauss. Indlela yamazwe ngamazwe

Indlela yeSeidel (igama lesibili yi-Gauss-Seidel) yindlela yamazwe ngamazwe ahlukahlukene lapho izinhlelo ezihlukahlukene zokulingana okulinganayo zingasombululwa . Manje sizoxoxa ngalokhu ngokuningiliziwe.

Okuyinhloko yomsebenzi

Le ndlela yindlela yokwenza ushintsho olulula ngendlela ye-Jacobi. Imishini entsha ukuthi inani elisha ^{( i)} Isetshenziselwa ngokushesha ngemuva kokuthola, hhayi ngemuva kwe-iteration elandelayo. Ngaphezu kwalokho, izimo zokuguqulwa nokuqedwa zichazwe ngokucacile, ukwephulwa okuholela ekuphenduleni okungalungile kwe-equation. Indlela yeSeidel, isibonelo esasinikeze esithombeni, hhayi nje kuphela elula inqubo yesinqumo, kodwa futhi siyasheshisa. Ngakho-ke, kusetshenziswe ngentshisekelo ngabalandeli ukudala nokuxazulula izinhlelo eziyinkimbinkimbi.

Indlela kaSeidel. "Pascal"

Akekho uhlelo lokusebenza olungenza ngaphandle kwamafomula nama-equation. Futhi lokhu kusho ukuthi indlela kaSeidel isetshenziselwa ngentshiseko ohlelweni elithi "Pascal" ukuthola ulwazi ngama robot ngezinsimbi eziyisisekelo. Kubonakala kulula kakhulu: idokhumenti entsha idalwe kushidi lohlelo, kusukela ekuqaleni, isimo se-equation nemingcele yaso senziwa, kanti izakhi ezengeziwe ezikhishwayo zichazwa (ngokuya kokutholakala), khona-ke ukuhlolwa kokuhambisana kunqunyelwe. Uma kulungile, i-algorithm yesisombululo ngokwayo iphuma, futhi kuphela lapho kuvela khona izimpande. Ukulinganisa kungabandakanya izinyathelo eziningana zokwenza izinqumo, ingxenye ngayinye ene-algorithm yayo, izingxenye ezigunyazayo, izakhi ezingaguquguqukayo kanye namafomula ayisisekelo. Konke lokhu kubhaliwe kuphela ngesiNgisi, ngaphandle kokufaniswa okufanayo. Isixazululo se-equation sizokhipha njengoba ifomula noma inombolo ephelile ngemuva kokulondoloza yonke idatha.

"Nge ++"

Indlela kaSeidel nayo isetshenziselwa kabanzi ohlelweni lwe- "C ++", kodwa lapha konke kuhluke kakhulu kune "Pascal". I-equation ku-"C ++" ayifuni ngesimo somsebenzi wonke, kodwa ngesimo sokuphela, esinqunywe ngezigaba ezintathu noma ezine ezineziphumo zokugcina zomphumela. Ngaphezu kwalokho, inkambo yesisombululo ngokwayo inqunyiwe isebenzisa le ndlela, ichaza ngokuningiliziwe yonke into engaziwa, emva kwalokho ifomula itholakala ukuze kuqinisekiswe ukulingana phakathi kwemiphumela emibili ye-equation. Isimo ukuthi inani ngalinye langaphambilini liyadingeka ukuxazulula elilandelayo. Ama-akhawunti agcinwa futhi ngesiNgisi, angeke ashintshwe. "I-C ++" ilukhuni kakhulu kunokuthi "Pascal", ngakho-ke, ngaphandle kolwazi oluyisisekelo, akufanele lisetshenziswe ekuqaleni.

Ake sibambe imiphumela

Ngakho, indlela kaSeidel iyindlela ekhethekile, ngenxa yokuthi kungenzeka ukuthi ukuxazulula izinhlelo zokulingana okulingana kwanoma yikuphi ukubunzima. Ngokuvamile kuyisisekelo sezinhlelo ezinjenge- "Pascal" ne "C ++". Lolu uhlobo lokuguqulwa okuthuthukisiwe kohlelo lwe-Jacobi, oluqeda ukusebenzisa amafomula engeziwe, kodwa lunezimo ezicacile zokuguqulwa nokuqedwa. Izindlela ezisemthethweni zenziwe lula ukwenza yonke inqubo yomsebenzi, ngoba uma omunye wemibandela engahlangatshezwanga, uhlelo, noma "Pascal" noma "C ++", lula nje ukuxazulula le nkinga ngokuqhubekayo.