Me pēhea te ki te whakaoti i te pūnaha o ngā whārite rārangi o te momo

Hoki te tino māramatanga o te āhua o ki te whakaoti i te pūnaha o ngā whārite, he mea e tika ana ki te whakaaro he aha te tohu i te reira. Ka rite ki te mea mārama i te wā iho, te "pūnaha" - he kohinga o te maha whārite e pā ana ki ia atu. He pūnaha o taurangi me whārite pārōnaki. I roto i tēnei tuhinga ka utu tatou tokanga ki pehea ki te whakaoti i te pūnaha o ngā whārite o te momo tuatahi.
Na roto i te tatararaa, ka karanga te whārite taurangi te, ai te taurangi runga ake puta ngā mahi pāngarau ohie anake, i.e. tua, wehenga, tangohanga, whakareatanga, taupūtanga , me te kimi i te pakiaka. iti He hātepe papatono mō te whakaoti i te whārite o tenei momo te ki tona panoni ki roto ki te kitea i te reira i te hanga ōrite, engari ohie.
E wehewehea Pūnaha o whārite taurangi ki rārangi me te nonlinear.
Ko te pūnaha o ngā whārite rārangi he rerekē i te pūnaha o te whārite nonlinear e reira e taurangi unknown i roto i te tohu tuatahi (ano whānui whakarāpopototanga SLAE whakamahia). - he momo o ngā āhuatanga mohiotia, x - taurangi, b - he momo o mohiotia ngā mema free Ax = b, te wahi A ko: rite General SLAE Tiro i roto i te puka kopu titiro.

He maha ngā huarahi i runga i te āhua o ki te whakaoti i te pūnaha o ngā whārite o tenei momo, ratou wehea ki ngā tikanga hāngai, me te auau. tukua tikanga Direct ki te kitea tatou nga uara o ngā taurangi mo te maha etahi o panoni pāngarau me te hātepe whitiauau te whakamahi i āwhiwhitanga ngā me te whakamahine.

Kia whakaaro tatou he tauira o te āhua o ki te whakaoti i te pūnaha o whārite rārangi whakamahi i te tikanga tika mō te te kimi i te uara o te taurangi. Ko te tikanga tika ngā tikanga o Gauss, Horano-Gauss, Kramer, tahitahi me etahi atu. Ko tētahi o te kuware tino taea te huaina te tikanga o Cramer, te tikanga i reira ki a ia ia rātau ki te kopu haamata i roto i te marautanga. Kei te hangaia tenei tikanga mō te whakaoti pūnaha rārangi pūrua, arā taua pūnaha i roto i nei te maha o ngā whārite he rite ki te maha o ngā taurangi unknown i roto i te aho. Hoki, i roto i te tikanga ki te whakaoti i te pūnaha o ngā whārite e Cramer, me hanga e koe tino e te ngā noa - e kore te kore (te titauhia).

Hātepe otinga ko e whai ake: 1 i roto i te kopu arā, o te āhuatanga, me ngā pūnaha mohiotia a ko tona tokoingoa matua o Δh. kitea ana te tokoingoa e tango i te hua o te āhuatanga hauroki tuarua o nga mea timatanga hua matua.

I tua atu haaputuhia 2 kopu i reira te tīwae tuatahi o ngā uara whakakapi e wātea ana huānga b, rite ki te tauira o mua e tokoingoa Δh _1.

hanga tatou i te kopu 3, nga uara o nga tau whakarea whakakapi e wātea ana mo te tīwae tuarua, kitea tatou e te tokoingoa o te kopu Δh _2. A pera i runga i noa, tae noa ki te tatau koe te tokoingoa o te kopu, kei hea i roto i te tīwae whakamutunga nga tau whakarea b.

Hei kitea te uara o te tāupe ngā, me wewete e koe te tau whakarea i whiwhi e qualifiers whakauru wehea ki te tokoingoa matua, arā ₁ = x Δh ₁ / Δh, ₂ x ₂ = Δh / Δh etc.
Ki te whai koe i ngā pātai e pā ana ki te pehea, ki te whakaoti i te pūnaha o ngā whārite i roto i etahi ara whakatenatena koe ki te tohutoro me ngā rauemi whakangungu, i ngā nga kaupae taketake katoa.