Hōtaka nonlinear - tetahi o nga wae o hōtaka pāngarau

hōtaka nonlinear he wahi o hōtaka pāngarau, i roto i nei faahoho'ahia i te mahi kore-rārangi e etahi herenga ranei mahi whāinga. Ko te ahanoa matua o te hōtaka nonlinear ko ki te kitea te uara tino arotau o te mahi whāinga homai he maha etahi o tawhā me ngā herenga.

He rerekē i te raruraru o te ihirangi rārangi hua tino pai e kore anake i roto i te rohe, e kua etahi fakangatangata rārangi-kore hōtaka raruraru, engari ki waho ano hoki. Enei momo o ngā raruraru e te hunga o ngā mahi hōtaka pāngarau e taea te kanohi rite whārite me ngā rerekētanga.

whakarōpūtia Papatonotanga nonlinear te rite ki te momo mahi F (x), here mahi, me te hanga i te taha o te pere x. Ko te kupu, ko te ingoa o te mahi tei runga i te maha o ngā taurangi. A, no te whakamahi i tetahi hōtaka nonlinear tāupe taea te whakamana mā te kotahi-tawhā arotautanga unconstrained. Ki te taea e koe te whakamahi i te maha o ngā taurangi neke atu i te kotahi herekore arotautanga maha-tawhā.

Hei whakaoti i te raruraru linearity mā te whakamahi i ngā tikanga paerewa o te hōtaka rārangi (hei tauira, tikanga ohie). Otiia ki te kore e te tikanga whānui o te otinga te tīariari nonlinear, tīpakohia i roto i te take ia takitahi, me te he ano hoki a reira ona tei runga i te mahi F (x).

puta hōtaka nonlinear i roto i te ora ia rā tino pinepine. Hei tauira, ko reira he hua taikaha i roto i utu rahinga hua hokona taonga ranei.

I te tahi taime te kimi i te rongoā tino pai i roto i ngā raruraru hōtaka nonlinear ngana ana ki te mahi i te āwhiwhitanga ki raruraru rārangi. He tauira ko te hōtaka pūrua, i roto i nei te mahi F (x) kanohi e te pūrau o te tohu tuarua ki te faatura ki te taurangi, te whāititanga linearity kitea. He tauira tuarua ko te whakamahi o te tikanga utu mahi, te whakamahi o nei i raro i etahi here te whakaiti i te rapu mo te extremum tukanga e ngákaunuitia kahore taua fakangatangata kitea nui māmā.

Heoi, ka tātarihia rite te katoa, hōtaka kore-rārangi ko te otinga ki te nui haere fifi tātai o te mahi. Tino maha whakamahi tatou i te rongoā āwhiwhiwhi i roto i o ratou tikanga arotautanga. Ko tētahi atu taputapu kaha e taea te whakaekea ki te whakaoti i tēnei momo o te raruraru - tikanga tau ki te kitea te otinga tika ki te tika i homai.

Ka rite ki whakahuatia i runga ake, titau hōtaka kore-rārangi he huarahi takitahi motuhake, me tango e ki pūkete tona pū.

He nga tikanga e whai ake nei o te hōtaka nonlinear:

- tikanga Rōnaki, e hāngai ana i runga i nga āhuatanga o te rōnaki mahi i roto i te wāhi. I roto i te mau parau te tahi atu, te vector o pārōnaki wāhanga tātai i roto i te ira tangohia rite te aronga o te taupū mōrahi te whakanui ake mahi i roto i te takiwā o tenei wāhi.

- Monte Carlo tikanga, i roto i nei whakaritea te parallelepiped taha n-th, tae atu i te plurality o mahere mō te whakatauira muri tupurangi N-ira ki te tohatoha ōrite i roto i te parallelepiped.

- tikanga o te hōtaka hihiri heke te ki te mahi arotautanga raruraru multidimensional ki te taha iti.

- whakatinana tikanga hōtaka ohu nei te i roto i te rapu mo te iti o te mahi ohu nei ranei te mōrahi o te kōpapa i runga i te wahi ohu nei o te mahere i whakaritea. I roto i te take i reira he plurality o mahere ko te matarau ohu nei, na kia tono reira tikanga ohie.