Nonlinear iaaiey - kekahi o na eiiiiiaiou o makemakika iaaiey

Nonlinear iaaiey ka hapa o ka makemakika iaaiey, ma a he pili-laina kuleana pili i ua poe ma kekahi mau nā palena a Pahuhopu kuleana pili i. I ka papa kuhikuhiE mea o ka nonlinear iaaiey mea, e imi i ka kaʻoi loa cia o ka Pahuhopu kuleana pili i haawiia mai i kekahi helu o nā mea kiko'î a me nā palena.

ole-laina iaaiey pilikia mea okoa, mai na pilikia o ka laina maʻiʻo e pono ai hualoaʻa ole wale i loko o ka aina, a ua loaa kekahi hoʻokau ', akā, i kahi e. Kēia mau 'ano o ka pilikia i ka poe o ka makemakika iaaiey hana ana e na poe hiki me nā helu kaulike a me inequalities.

Nonlinear iaaiey ua hoʻolaha e like me ka papa likeʻole ma F (x), kuleana pili i kapu a me ka hanaʻana i ka Ana o ka maʻi lele m. Penei, hilinaʻi nui ma luna o ka helu ana o aiaiiuo i ka inoa o ka mea hana. kekahi ee iaaanu aey nonlinear iaaiey I ka hoʻohana 'ana i hiki ke hana ma nā hoʻokahi-aiao unconstrained kaʻoi loa. Inā o ka helu ana o aiaiiuo oe hiki ke hoʻohana 'oi ma mua o kekahi unconditional nunui-aiao kaʻoi loa.

E hoʻoponopono i ka linearity pilikia ka hoʻohana maʻamau ano o ka laina iaaiey (e laʻa me, simplex iaoia). Akā, me ka mau hana o ka pāʻoihana hakuʻole nonlinear, koho 'ia ma kēlā me kēia kanaka, hihia, a ia mea no hoi kona hilinaʻi nui ma luna o ka papa F (x).

Nonlinear iaaiey ia lŘlŘ ka maʻamau o ke ola mau loa pinepine. No ka laʻana, ka mea, o ka disproportionate mahuahua ma koina nui hua mai ai i ho'ōla pānaʻi ai ka waiwai.

I kekahi manawa, loaa i ka e pono ai ke kākoʻo pāʻoihana ma nonlinear iaaiey pilikia ho'āʻo ana e hana i kokekau i ka laina pilikia. Lakou i mea hoike o ka quadratic iaaiey, ma a ka papa F (x) ua poe ma ka polynomial o ka lua iho me ka pili ana i na DEBFULLNAME, i ka nānāʻana aku i linearity hoʻokau '. A lua kumu hoʻohālike o ka hoʻohana 'ana i ka uku papa hana, i ka hana o ka a ma lalo o kekahi mau kapu ho'ēmi i kā ka makaikai ae la i ka extremum analogous ina hana me ka hoʻokau Wehewehe i nā mea maʻalahi.

Naʻe, i ka wa a ua kālailai like me ka a pau, ai '-laina iaaiey o ka pāʻoihana e māhuahua computational pilikia o ka hana. Loa pinepine mākou hoʻohana i ka He kokekau wale pāʻoihana i kā lākou kaʻoi loa 'ana i kūpono. Kekahi mana mea paahana e hiki ke kaumaha e hoʻoponopono i kēia 'ano o ka pilikia - laulā ki ina hana like, e imi i ka pāʻoihana akau a hiki i ka haawiia mai pololei.

E like me ka olelo ma luna, ai '-laina iaaiey pono i ka kūikawā kēia kokoke loa i kahi, a e lawe i loko no kona specificity.

Aia nō i ke kēia mau ano o nonlinear iaaiey:

-ʻano piʻina ki ina hana like, ma muli o ka waiwai o ooieoeiiaeuiiaiʻano piʻina ma ka wahi. Ma nā hua'ōlelo, ka maʻi lele o ka helehelena nā mea loaʻa ho omaulia i loko o ka wahi ia e like me ka olelo o kā mākou 'inideka hoʻoulu oihana i loko o ka wahi o keia wahi.

- Monte Carlo hana, ma a ka parallelepiped hoʻoholo N-la Ana, me ka ai iiiaanoaa o hoʻolālā no mahope hōʻikeʻia nani kaulele N-kiko huina me kaʻaʻahu o ka makana i loko o ka parallelepiped.

- hana o hōʻeuʻeu iaaiey ua hoemi ia i ka multidimensional kaʻoi loa pilikia hana a hiki i ka uuku Ana.

- convex iaaiey iaoiaeii ua hoʻokō i loko o ka huli 'ana no ka palena iki o ke convex papa ai kekahi i kā mākou o ka concave ma ka convex aoao o ka i kuka. Ma ka hihia ma kahi o ka ai iiiaanoaa o ka manao kuka o ka convex polyhedron, a laila ka mea i e hoopili simplex hana.