Seidel-GAUSS. indlela jikelele

Seidel indlela (igama yesibini - GAUSS-Seidel) - yenye yeendlela classic ngamazwe apho kunokwenzeka ukusombulula iinkqubo ezahlukeneyo kwizibalo yomgama. Ngoku siza kuthetha ngakumbi.

Kakuhle eli

Le ndlela yeyona uhlobo ukuguqulwa lula indlela Jacobi. I ezintsha siyifumana lomba wokuba ixabiso elitsha ⁽ⁱ⁾ kusetyenziswa ngoko nangoko yakuba ifikile, kwaye hayi emva uniko lomyalelo olandelayo. Ukongeza, ichazwe ngokucacileyo ngokwemigaqo ukuhlangabezana kunye nesiphelo, nokuhluthwa leyo eya kukhokelela ukuba impendulo engeyiyo lenxaki. Seidel indlela, umzekelo apho siye sikunike kulo mfanekiso, hayi nje lula inkqubo isigqibo, kodwa ibalekisa kuyo. Ngoko ke, oku ngenkuthalo isetyenziswa badwelisi benkqubo ukwenza izisombululo kunye neenkqubo ezintsonkothileyo.

indlela Seidel. "Pascal"

Akukho namnye wenkqubo ayikho ngaphandle iifomyula zemathematika kunye zibalo. Oku kuthetha ukuba indlela Seidel aza kusetyenziswa kwi "Pascal 'ukuze bafumane amava kunye izinto ezingundoqo robots. Likhangeleka pretty elula: inkqubo uyila iphepha elitsha iphepha imeko ekuqaleni ngegalelo lenxaki kunye nommandla wayo, futhi echaza izinto ezongezelelweyo elisusekayo (kuxhomekeke kubukho), uvavanyo ngoko kumiselwe uphawulo. Ukuba lowo unesi sifo, algorithm isigqibo imveliso ngokwayo, yaye kuphela emva kokugqitywa kwale kweengcambu. Zibalo kungahlanganisa izisombululo eziliqela izigaba, nganye eneyazo indlela yayo, amacandelo afunekayo, izinto interchangeable kunye nefomula esisiseko. Konke oku kubhalwe kuphela IsiNgesi, ngaphandle analogs kunokwenzeka. Isisombululo lenxaki ziya kuboniswa ngohlobo olungumgubo esele zenziwe okanye inombolo emva kokuba ugcine yonke idatha.

"C ++"

indlela Seidel lendlele ikwasetyenziswa ngokubanzi "C ++", kodwa apha yonke into eyahlukileyo kakhulu ngaphezu i "Pascal". Inxaki kwi "C ++" awuqali nemiqathango yonke ngxaki, kodwa ekupheleni iimeko, nto leyo kumiselwe ngezigaba ezithathu okanye ezine, kunye result imveliso yokugqibela. Okulandelayo, ikhondo emiselweyo yokusombulula ngokwawo kusetyenziswa le ndlela, ukuchaza ngokweenkcukacha zonke zendawo angayaziyo, uze ukwaneliseka ifomula ukungqina ukulingana phakathi iziphumo omabini alenxaki. Le meko kukuba ixabiso ngalinye edlulileyo kuyimfuneko ukujongana elizayo. Akhawunti nabo kuqhutywa e IsiNgesi, ongayi kuba nako indawo. "C ++" nzima "Pascal" kakhulu, ngoko ngaphandle kokuba ulwazi olusisiseko, oko kufuneka ingasetyenziswa ekuqaleni.

Ngamafuphi

Ngoko ke indlela Seidel - yindlela ikhethekileyo apho ukusombulula inkqubo quadratic linear nawuphi xaka. Amaninzi kuba sisiseko iinkqubo ezifana "Pascal" yaye "C ++". Olu hlobo ukuguqulwa kwaphucula indlela Jacobi, leyo ishenxisa ukhetho ngokusebenzisa ifomula ezongezelelweyo, kodwa iimeko ukuhlangabezana kunye nokuvalwa ecacileyo. Iikhrayitheriya ngokungqongqo kuchazwa lula yonke le nkqubo isebenza, njengoko kwimeko non-inzaliseko omnye wemiqathango zenkqubo, enoba okanye "Pascal" okanye "C ++", lungafuni kulungisa ingxaki.