Njira ya Seidel-Gauss. Njira yapadziko lonse

Njira ya Seidel (dzina lachiwiri ndi Gauss-Seidel) ndi njira yapadziko lonse yomwe machitidwe osiyanasiyana a equations ofanana angathetsedwe . Tsopano tikambirana za izi mwatsatanetsatane.

Chofunika cha ntchitoyo

Njira iyi ndi mtundu wa kusintha kosavuta kwa njira ya Jacobi. Zatsopano ndikuti mtengo watsopano ^{( i)} Amagwiritsidwira ntchito mwamsanga atalandira, osati pambuyo pazotsatizana. Kuonjezera apo, zikhalidwe zowonongeka ndi kuthetseratu zikufotokozedwa momveka bwino, kuphwanya komwe kumabweretsa yankho lolakwika la equation. Njira ya Seidel, chitsanzo chomwe tinapereka pachithunzichi, sikuti zimangowonjezera ndondomekoyi, komanso imathandizira. Choncho, imagwiritsidwa ntchito mwakhama ndi mapulogalamu kupanga ndi kuthetsa zovuta.

Njira ya Seidel. "Pascal"

Palibe wolemba mapulogalamu angathe kuchita popanda masamu ma formula ndi equation. Ndipo izi zikutanthauza kuti njira ya Seidel imagwiritsidwa ntchito mwakhama pa pulogalamu ya "Pascal" kuti adziwe zambiri ndi makina opangira zinthu. Zikuwoneka zophweka kwambiri: chikalata chatsopano chimakhazikitsidwa pulogalamuyi, kuyambira pachiyambi, chikhalidwe cha equation ndi malire ake akuyambitsidwa, ndiye zinthu zina zowonongeka zimayankhidwa (malinga ndi kupezeka), ndiye kuyesedwa koyenera kumaperekedwa. Ngati ndizowonjezera, ndiye kuti njira yothetsera vutoli imachokera, ndipo pokhapokha ndiye kuti kuchoka kwa mizu. Zofanana zingaphatikizepo masitepe angapo osankha, mbali iliyonse yomwe ili ndi dongosolo lake lokhazikika, zopangidwa ndi zovomerezeka, zigawo zosinthika ndi zofunikira. Zonsezi zalembedwa mu Chingerezi, popanda zotheka analogues. Yankho la equation lidzakhala lopangidwa monga ndondomeko yomaliza kapena chiwerengero pambuyo populumutsa zonsezi.

"Ndi" + "

Njira ya Seidel imagwiritsidwanso ntchito kwambiri mu "C ++" pulogalamu, koma apa zonse ziri zosiyana kusiyana ndi "Pascal". Kugwirizana kwa "C ++" sikuyambira ndi chikhalidwe chonsecho, koma ndi chikhalidwe cha mapeto, chomwe chimayikidwa mu magawo atatu kapena anayi ndi zotsatira zomaliza za zotsatirazo. Komanso, njira yothetsera yokhayo imayankhidwa kugwiritsa ntchito njirayi, kufotokozera mwatsatanetsatane zonse zosadziwika, pambuyo pake pangakhale ndondomeko yotengedwa kuti atsimikizire kulingana pakati pa zotsatira ziwiri za equation. Chikhalidwe ndi chakuti mtengo uliwonse wa wapitayo uli wofunikira kuthetsa wotsatira. Nkhani zimasungidwanso m'Chingelezi, zomwe sizingasinthidwe. "C ++" ndi yovuta kwambiri kuposa "Pascal", choncho, popanda chidziwitso chofunikira, sayenera kugwiritsidwa ntchito poyamba.

Tiyeni tiwone zotsatira

Kotero, njira ya Seidel ndi njira yapadera, chifukwa choti n'zotheka kuthetsa machitidwe ofanana ofanana a zovuta zonse. Nthawi zambiri zimakhala zofunikira pa mapulogalamu monga "Pascal" ndi "C ++". Izi ndizokonzanso kusintha kwa njira ya Jacobi, yomwe imathetsa kugwiritsa ntchito njira zina, koma zimakhala zomveka bwino. Zomwe zimakhazikitsidwa bwino zimachepetsa ntchito yonse, chifukwa ngati chimodzi mwazimene sichikugwirizana, pulogalamuyi, kaya "Pascal" kapena "C ++", imangokana kuthetsa vutoli.