App Linear Equations Solver

ivan gabrovski

Iqukethe izikhangiso

Mayelana nalolu hlelo lokusebenza

Inhloso yohlelo lokusebenza ukuhlinzeka ngezindlela ezilula zokudala nokuxazulula amasistimu wezibalo zomugqa . Uhlelo lokusebenza lusebenzisa indlela edumile nesetshenziswa kakhulu yokususa i-Gauss-Jordan ukuze kuxazululwe amasistimu ezibalo zomugqa.
Ngohlelo lokusebenza, inani lezibalo lilingana nenani lokungaziwa. Uma sibeka lawa matrici ngo-A - coefficients ngaphambi kokungaziwa, x - unknowns, kanye no-b – coefficients ngemva = , ngokulandelana, lapho-ke singangena esikhundleni sohlelo lokuqala lwezibalo zika-m kokuthi n okungaziwa ngesibalo se-matrix eyodwa Ax=b.
I-matrix A kule zibalo ibizwa ngokuthi i-coefficient matrix yesistimu. I-matrix engeziwe yohlelo itholakala ngokuhlanganisa okuthi b ukuya ku-A njengekholomu yokugcina;
Kuhlelo lokusebenza, i-matrix augmented ifakwa etafuleni. Lapho udala ithebula, amapharamitha amabili asethiwe: ubude obukhulu be-coefficient ngayinye ye-matrix engeziwe kanye nenani lezibalo, okungukuthi n. Kukholomu yokugcina yethebula, ama-coefficients b afakiwe.
Uhlelo lokusebenza lunemisebenzi yokudala, ukugcina, ukususa, nokugcina i-matrix engeziwe ngaphansi kwegama elisha. I-matrix ngayinye enjalo igcinwa ngaphansi kwegama layo. Uhlu lwama-matrices angeziwe luboniswa ohlwini olwehliswayo. Ngemva kokukhetha into ethile kuyo, kukhona inkinobho yokubala isisombululo sesistimu yomugqa ohambisanayo, futhi isisombululo siboniswa etafuleni. Ngemva kokubala isisombululo, kukhona nomsebenzi wokubonisa i-matrix yokuqeda i-Gauss-Jordan. Konke - i-matrix yezibalo, isixazululo kanye ne-matrix yokususa ingagcinwa kufayela kuhla lwemibhalo olukhethiwe lwedivayisi.
Uhlelo lokusebenza lunemisebenzi yokuhlaziya isisombululo: noma ngabe Ihlukile; Okungaguquki noma Okungapheli futhi kubonisa isisombululo esijwayelekile(ifomu lepharamitha).