Senkqubo Nonlinear - njengenye yeekhomponenti iinkqubo zezibalo

kweenkqubo Nonlinear yinxalenye iinkqubo zemathematika, apho umsebenzi non-linear imelwe nezinyanzelo ezithile okanye umsebenzi njongo. Injongo ephambili ye-kweenkqubo nonlinear kukuba ukufumana ixabiso kangangoko umsebenzi njongo enikwe inani elithile yemida kunye nezithintelo.

non-linear ingxaki iinkqubo ezahlukileyo iingxaki umxholo iziphumo linear eliphezulu kuphela ngaphakathi kummandla, nto leyo eye ezinye iintsilelo, kodwa phesheya. Ezi ntlobo zeengxaki zezo lwemisebenzi iinkqubo zezibalo angamelwa njengoko zibalo kunye nokungalingani.

Programming Nonlinear ihlelwa ngokungqinelana umsebenzi ezahlukeneyo F (x), imiqathango umsebenzi nokwenza nenkalo ye kumda wesangqa x. Ngenxa yoko, igama msebenzi ixhomekeke kwinani variables. Xa usebenzisa enye iprogram nonlinear eziguquguqukayo inokwenziwa nge-nye parameter noun unconstrained. Ukuba inani variables ungasebenzisa ngaphezu kwesinye olungenamiqathango-multi parameter noun.

Ukusombulula iingxaki linearity usebenzisa iindlela umgangatho lwenkqubo yomgama (umz, indlela simplex). Kodwa indlela jikelele isisombululo ayisekho nonlinear, okhethiweyo kwimeko nganye kwaye kwakhona kuxhomekeke yayo umsebenzi F (x).

iinkqubo Nonlinear kwenzeka kubomi bemihla ngemihla kaninzi. Umzekelo, ukuba ukunyuka elibi kwamaxabiso ubuninzi eziveliswa okanye athenge impahla.

Ngamanye amaxesha ukufumana izisombululo kangangoko kwiingxaki kweenkqubo nonlinear ukuzama ukwenza uqi kelelo iingxaki yomgama. Umzekelo iinkqubo equation, apho umsebenzi F (x) imelwe polynomial of yesibini ngokumalunga yezahlukileyo, iintsilelo linearity waphawula. Umzekelo yesibini ukusetyenziswa indlela umsebenzi isohlwayo, ukusetyenziswa apho phantsi kwemiqathango ethile kunciphisa ukusetshwa for extremum inkqubo nelo ngaphandle ezinjalo imida isonjululwe lula kakhulu.

Noko ke, xa kuhlalutywa xa lulonke, iinkqubo non-linear isicombululo nokwanda ubunzima azo lo msebenzi. Amaxesha amaninzi sisebenzisa izisombululo uqikelelo ngexesha zabo iindlela kahle. Esinye isixhobo esinamandla ezinokufundiswa ukusombulula olu hlobo ingxaki - iindlela ngamanani ukufumana isisombululo ekunene ukuya ukuchana elinikiweyo.

Njengoko kukhankanyiwe ngasentla, iinkqubo non-linear kufuna indlela ekhethekileyo ngamnye, nto leyo kufuneka ithathele ingqalelo Okukodwa yayo.

Kukho iindlela zilandelayo iinkqubo nonlinear:

- iindlela Gradient, ngokusekelwe iimpawu ithambeka ukusebenza kwezi ngongoma. Ngamanye amazwi, kumda wesangqa avela buso kubalwa kwindawo kuthathwe kwicala kwisalathisi eliphezulu ukwandisa imisebenzi endhawini ya le ngongoma.

- Monte Carlo ndlela, apho parallelepiped wagqiba ledayimenshini n-th, kuquka ezininzi izicwangciso modeling elandelayo random N-amachaphaza nge unikezelo efanayo kwi parallelepiped.

- indlela iinkqubo olutshintshayo kuyehla kube imisebenzi ingxaki noun yoyilo ukuze kudlale elincinci.

- indlela iinkqubo khaxa iphunyeziwe ukhangelo ubuncinane umsebenzi khaxa okanye ubuninzi kukho phakathi kwi inxalenye khaxa izicwangciso ezibekiweyo. Kwimeko apho kukho ezininzi izicwangciso yi emacala khaxa, ngoko oko kusetyenziswa indlela engapheliyo.