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Hurwitz yokuhlola. Uzinzo Iinqobo Wald, Hurwitz Savage

Eli nqaku lijongana izinto ezifana Hurwitz njengenqobo, Savage kunye Wald. Ujoliso olungundoqo ngosuku lokuqala. Hurwitz bemfuno ichazwe ngokwenkcukacha zombini ukusuka kwindawo aljibra ngayo kwaye ukusuka kwindawo isigqibo phantsi ukungaqiniseki.

Kufuneka uqale kwenkcazo ingqikelelo yozinzo. It ephawula ukukwazi kwenkqubo ukubuyela kuvuselele ekupheleni kudambe, leyo yayikukwaphula eseleyo ekhoyo ngaphambili.

Kufuneka kuqatshelwe ukuba umdlali yakhe - inkqubo ezingazinzanga - isuswa rhoqo kwimeko yayo lizama (oscillates ngeenxa) kunye namandla awo abuyela.

Indlela Uzinzo: definition, iintlobo

Le iseti yemithetho ukuvumela ukuba agwebe iimpawu ezikhoyo equation uphawu ngaphandle efuna isigqibo sakhe. Nevuthisayo, ke, zinike ithuba bagwebe uzinzo inkqubo ethile.

Njengomgaqo, zezi:

  • Aljibra (kokulungiselela amabinzana ezithile iimpawu equation aljibra usebenzisa imithetho ezizodwa okuluphawu uzinzo ACS);
  • njalo (into yokufunda - iimpawu njalo).

Hurwitz uzinzo bemfuno ukusuka kwindawo aljibra ngayo

Abayikhethayo i njengenqobo aljibra, okuthetha ukuba nokuqwalaselwa i'quadratic kuphawu kwi ekwimo ifomu:

A (p) = aᵥpᵛ + aᵥ₋₁pᵛ¯¹ + ... + a₁p + a₀ = 0.

Ngokusebenzisa okuza matrix yayo wabumba Hurwitz.

Umthetho Compilation Hurwitz matrix

Kwicala kokuhla indlela yonke okuza ehambelana ukuya equation uphawu ukusuka aᵥ₋₁ ukuya A0 ebhalwe ngaphandle. Zonke iintsika ezantsi okuza eziphambili oxwesileyo zibonisa izidanga ayenyuka mqhubi p ngoko phezulu, - ukuhla. izinto ezingekhoyo kufakwe amaqanda.

Kukholelwa ukuba le nkqubo uzinzile xa bonke abantwana oxwesileyo ingqalelo matrix positive. Ukuba onefuthe iphambili ilingana zero, ngoko ke sithethe ukufumana naye kumda kuzinzo, yaye aᵥ = 0. Kwimeko ukuthotyelwa kunye nezinye iimeko inkqubo ekuthethwa imi kumda uzinzo omtsha aperiodic (ongamphambi kokugqibela koKuhlala Minor ilingana zero). Xa abantwana ezakhayo aseleyo - sele umda uzinzo vibrational.

kwezigqibo phantsi ukungaqiniseki: Wald test, Hurwitz Savage

Zezona iikhrayitheriya ngokukhetha variations qhinga kakhulu efanelekileyo. Ikhrayitheriya Savage (Hurwitz, Wald) lisetyenziswa kwi imeko apho kukho baphicothwa uhlobo priori licaciswe ithi. nesiseko - uhlalutyo matrix okanye into onokuyizuza ngokwenza matrix. Kwimeko lonikezelo ezingaziwayo amazwe elizayo le baphicothwa lonke ulwazi olukhoyo umda kuluhlu ongakhetha zayo.

Ngoko ke, simele uqale yokuhlola maximin Wald. Yena i header engenakuncedakala obukhulu (mkhanya ngenyameko). Le bemfuno nga kuyilwa kunye nezicwangciso esulungekileyo egalelwe ukuba.

Got igama layo ezisekelwe kuqikelelo malunga Windows RT uhlobo ungaziphumeza urhulumente apho abazuzi kubalwe ngexabiso eliphantsi.

Le bemfuno iyafana kusini na ongenathemba esetyenziswa ngethuba yokusombulula imidlalo matrix, ngokufuthi kwizicwangciso ehlambulukileyo. Ngoko ke, qala ukhethe ukusuka kumgca ngamnye ixabiso elincinane le element. qhinga isigqibo maker ngoko bakhululwa, okuhambelana element ubuninzi phakathi ubuncinane sele ekhethiweyo.

Ezikhethwe umbandela iinketho kuqwalaselwa ngaphandle umngcipheko, njengoko umyili isinqumo japan mbi akukho kunalowo upha benchmark.

Ngoko ke, ezifaneleke kakhulu, ngokutsho kwingongoma nganye Wald, waqonda icebo ngomnatha, njengokuba isenziwa ezimbi kakhulu, iqinisekisa Kumncede aphezulu abekelwe.

Ngaphezu koko, kubalulekile ukuqwalasela le kwingongoma nganye Savage. Apha ezikhethiweyo 1st sezisombululo ezikhoyo practice, bakholisa ukuba ayeke ngelo, nto leyo eya kubangela ukuba kungasetyenziswa mali ukuba ukhetho bekuya kuba ephosakeleyo.

Ngokwalo mgaqo, nayiphi na isisombululo lubonakala ngokuba ubuninzi ethile ilahleko ezongezelelweyo ezithe zavela kule khosi kwayo, xa kuthelekiswa ne ekhoyo okungcono kurhulumente wendalo. Kucacile ukuba isigqibo lungelo akakwazi ungene iilahleko ezongezelelweyo, nto leyo esisizathu sokuba ixabiso yabo nil. Ngoko ke, njengoko wamkelwe isicwangciso efanelekileyo, isixa ilahleko apho oluncinane umandundu isethi iimeko.

Isibaluli ithemba-themba

Ngoko ezahlukeneyo kuthiwa Hurwitz njengekhrayitheriya. Le izisombululo Inkqubo yokhetho, ukuvavanywa imeko endaweni ukuzibaxa izinto ezimbini ngqo kwisigxina eliphakathi ebizwa ngokuba yi-, nto leyo ethatha ingqalelo amathuba zombini elilungileyo futhi okubi ukuziphatha kwimeko yendalo.

Oku wacebisa ukuba ukusilela Hurwitz. Ngokutsho kwakhe, ngenxa yaso nasiphi na isisombululo kuya kufuneka ukuba ufake umdibaniso linear le min and max, uze ukhethe icebo into elingana nexabiso lawo aphezulu.

Xa sigwetyelwe isicelo kwalo njengenqobo yokugweba?

Hurwitz bemfuno ukusebenzisa advantageously kwimeko kubalulwa mpawu zilandelayo:

  1. Kukho imfuneko yokuba kuthathelwa ingqalelo inketho okubi.
  2. Ukunqongophala kolwazi malunga baphicothwa, ithi endalo.
  3. Zicingele ingozi ethile.
  4. Uphunyezwe inani elincinane ngokwaneleyo izisombululo.

isiphelo

Okokugqibela kufanelekile ukuba sikhankanye ukuba esi sihloko ingqalelo imiqathango Hurwitz, Savage kunye Wald. Hurwitz bemfuno ichazwe ngokwenkcukacha kunye neembono ezahlukeneyo.

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