Nediferencējamu funkciju optimizācijas problēmas

6533b859fe1ef96bd12b71b9

RESEARCH PRODUCT

Nediferencējamu funkciju optimizācijas problēmas

Kristaps Feikners

subject

Nediferncējamu funkciju aizstāšana ar diferencējamu Gradienta metode Saišķa metode Matemātika Funkciju optimizācija Nediferencējama funkcija

description

Bakalaura darba nolūks ir izpētīt optimizācijas metodes nediferencējamām funkcijām, lai veiksmīgi spētu tās pielietot dažādu problēmu risināšanā. Lielākoties darbs tiek balstīts uz trīs optimizācijas metodēm, tas ir, gradienta metodi, saišķa metodi un metodi, kuras pamatā nediferncējamu funkciju aizstāj ar diferencējamu. Darba gaitā apskatītās risināšanas tehnikas tiks aprakstītas gan teorētiski, gan arī parādīti prakstiski piemēri ar programmā Wolfram Mathamatica veidotiem grafikiem. Ir aprakstītas metožu pielietošanas iespējas un arī to trūkumi. Bakalaura darbā tiks iepazīstināts ar optimizācijas metožu vēsturi, minēti to pielietojumi dažādās profesionālajās sfērās, kā arī aprakstīti optimizācijas metožu pamatjēdzieni. Pēc paveiktā darba tiks doti ieteikumi metožu izvēlē, kā arī tiks ie- skicēti iespējamie darba turpinājuma virzieni. Iegūtie secinājumi ļauj labāk izprast nediferencējamu funkciju optimizācijas metožu pielietošanas iespējas un to īpatnības. Bakalaura darbs ir metodiska rakstura, to var izmantot optimizācijas metožu kursā.

year	journal	country	edition	language
2021-01-01

https://dspace.lu.lv/dspace/handle/7/55978

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