Hurwitz muyezo. Bata i Wald, Hurwitz molapitsa

Nkhaniyi ikuchita ndi mfundo monga muyezo Hurwitz, molapitsa ndi Wald. Cholinga makamaka pa choyamba. Hurwitz muyezo limafotokoza mwatsatanetsatane zochokera mfundo algebraic maganizo ndi ku nsonga ya kupanga zisankho pansi njakata.

Iwo ayenera kuyamba ndi tanthauzo la mfundo zisathe. N'zimenenso kutha kubwerera mgwirizano ndi mapeto a chisokonezo, amene anaphwanya bwino alipo kale.

Tikumbukenso kuti Goliyati - wosakhazikika dongosolo - atachotsedwa mosalekeza kuchokera uliri mgwirizano (oscillates mozungulira icho) ndi matalikidwe akubwerera.

i polojekiti: tanthauzo, mitundu

Izi malamulo amene amalora ife kuweruza zizindikiro zilipo khalidwe aone kuti pali popanda kufufuza maganizo ake. Ndiyeno iwowa, nayenso mpata kuweruza zopezera dongosolo makamaka.

Monga ulamuliro, ali:

• Algebraic (yokonza yeniyeni mawu khalidwe aone kuti pali algebraic ntchito malamulo apadera zomwe mtendere wa ACS);
• pafupipafupi (chinthu kuphunzira - makhalidwe pafupipafupi).

Hurwitz bata muyezo ku mfundo algebraic maganizo

Iwo mtima ndi muyezo algebraic, kuonetsanso zochita za makamaka khalidwe aone kuti pali mu mawonekedwe a mtundu muyezo:

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

Kudzera koefishienti ake masanjidwewo anapanga Hurwitz.

Rule buku Hurwitz masanjidwewo

Motsogozedwa kunsi mu dongosolo ndawalemba koefishienti onse lolingana aone kuti pali khalidwe ku aᵥ₋₁ kuti a0. mizati onse m'munsimu waukulu opendekera koefishienti amasonyeza Chikukula madigiri a woyendetsa tsa, ndiye - ikuchepa. Akusowa zinthu m'malo ndi maziro.

Akukhulupirira kuti dziko ndi wolimba pamene ana onse opendekera ankaona masanjidwewo positive. Ngati determinant chachikulu ndi wofanana ndi ziro, ndiye ife tikhoza kulankhula za kupeza ake pa mtendere malire, ndi aᵥ = 0. Pa nkhani ya kugwilizana ndi zinthu zina dongosolo mu funso ili m'malire a latsopano aperiodic kukhazikika (penultimate Minor wofanana ziro). Pamene zabwino otsala ana - kale pa malire a mtendere vibrational.

Kusankha kupanga pansi njakata: Wald mayeso, Hurwitz molapitsa

Iwo ndi muyezo chifukwa kusankha yoyenera kwambiri njira yofanana. Muyezo molapitsa (Hurwitz, Wald) umagwiritsidwa ntchito mu vuto pamene pali CHOSADZIWIKA chikhalidwe zolemba ziyerekezo wa mayiko. maziko awo - ndi kusanthula ndi masanjidwewo chiopsezo kapena n'kothandiza masanjidwewo. Pankhani ya kufalitsidwa osadziwika wa limati tsogolo la ziyerekezo onse mfundo zomwe zilipo zochepa kuti mndandanda kusankhapo ake.

Choncho, tiyenera kuyamba ndi muyezo maximin Wald. Iye ndi muyeso wotaya kwambiri (samalani amatsata). muyezo izi zikhoza kupangidwa ndi wangwiro ndi kusakaniza njira.

Iwo nalo dzina lake zochokera mfundo za zowonjezera chikhalidwe mutha kuzindikira kuti boma lomwe apeze phindu ukugwira pa mtengo wotsikitsitsa.

muyezo Ichi ndi zofanana kwa sizikuyenda bwino, amene ntchito mu njira yothetsera masewera masanjidwewo, kawirikawiri njira koyera. Choncho, choyamba sankhani ndi aliyense mzere kufunika osachepera mchitidwe wa. strategy chisankho wopanga kenako anamasulidwa Chofanana amafotokozera pazipita mwa kale anasankha osachepera.

Amasankhidwa ndi muyezo ankaona mungachite popanda chiopsezo, monga wopanga kusankha chifukwa palibe choipa kwambiri kuposa amene akutumikira ndi miyeso yolinganizira.

Choncho, n'zofunika kwambiri, malinga ndi muyezo wa Wald, anazindikira njira ukonde, monga zikhalidwe kwambiri, zipangitsa apamwamba mmphepete n'kothandiza.

Komanso, ndi bwino kuganizira muyezo molapitsa. Apa kusankha 1st njira zilipo kuchita, amakonda kusiya pa icho, chimene chingandithandize zo kochepa ngati kusankha akanakhalabe cholakwika.

Malinga ndi mfundo imeneyi, njira iliyonse amakhala ndi kuchuluka zina zomvetsa zina akuwuka mu njira zace, poyerekeza ndi kupezeka kwambiri pa chikhalidwe cha chilengedwe. Zikuonekeratu kuti zochita mwanzeru angathe sukhala zomvetsa zina, nchifukwa chake phindu ndi nil. Choncho monga njira yoyenera kwambiri kutengera kuchuluka kwa imfa yomwe ndi kochepa pa zikachitika anapereka kwa zinthu.

Muyeso wotaya-chidaliro

Zosiyana amatchedwa Hurwitz muyezo. Kusankha njira zothetsera, ndi kufufuza zinthu m'malo mbali ziwiri kutsatira otchedwa wapakatikati malo, amene amaganizira Mwina yabwino ndipo choyipitsitsa onse mlandu makhalidwe a chilengedwe.

Izi anena kuti kukondera Hurwitz. Malinga ndi iye, chifukwa njira iliyonse ayenera kukhazikitsa osakaniza liniya wa Mph ndi Max, ndiye kusankha njira n'zogwirizana phindu apamwamba.

Pamene wolungama mwa ntchito muyezo izi?

Hurwitz muyezo ntchito advantageously zinthu yodziwika ndi zinthu zotsatirazi:

1. Pali kusowa kutenga nkhani njira koipa.
2. Chosadziwa za ziyerekezo wa limati zachilengedwe.
3. Enaake chiopsezo.
4. Zagwiridwa ndi chiwerengero mokwanira ka njira.

Pomaliza

Potsiriza ndi ponena kuti m'nkhani ankatengedwa i Hurwitz, molapitsa ndi Wald ofunika. Hurwitz muyezo anafotokoza ndi maganizo osiyana.