Item request has been placed!
×
Item request cannot be made.
×

Processing Request
Proširena Lagrangeova metoda ; Augmented Lagrange method
Item request has been placed!
×
Item request cannot be made.
×

Processing Request
- معلومة اضافية
- Contributors:
Vrdoljak, Marko
- بيانات النشر:
Sveučilište u Zagrebu. Prirodoslovno-matematički fakultet. Matematički odsjek.
University of Zagreb. Faculty of Science. Department of Mathematics.
- الموضوع:
2022
- Collection:
Croatian Digital Theses Repository (National and University Library in Zagreb)
- نبذة مختصرة :
U radu se proučava proširena Lagrangeova funkcija. Za zadaće minimizacije uz uvjete tipa nejednakosti i jednakosti uvodi se pojam kaznene funkcije. Dokazuju se osnovni teoremi o svođenju zadaće uvjetne minimizacije metodom kaznene funkcije na zadaću bezuvjetne minimizacije. Proširena Lagrangeova funkcija se predstavlja u vidu kaznene funkcije. Ustanovljuje se veza bezuvjetne minimizacije ove funkcije s klasičnim rezultatom o Lagrangeovim množiteljima. Prikazana je i praktična primjena proširene Lagrangeove funkcije u numeričkom rješavanju zadaće uvjetne minimizacije. ; The thesis studies the augmented Lagrange function. For minimization problems with presence of equality and inequality constraints the concept of penalty function is introduced. The basic results on the reduction of constrained minimization problem to the unconditional minimization problem by the method of penalty function are proved. The augmented Lagrangian function is represented as a penalty function. The relation of the unconstrained minimization of this function with the classical results on Lagrange multipliers is established. The practical application of the augmented Lagrangian function for the numerical solution of the constrained minimization problem is also presented.
- File Description:
application/pdf
- Relation:
https://zir.nsk.hr/islandora/object/pmf:10498; https://urn.nsk.hr/urn:nbn:hr:217:231782; https://repozitorij.unizg.hr/islandora/object/pmf:10498; https://repozitorij.unizg.hr/islandora/object/pmf:10498/datastream/PDF
- الدخول الالكتروني :
https://zir.nsk.hr/islandora/object/pmf:10498
https://urn.nsk.hr/urn:nbn:hr:217:231782
https://repozitorij.unizg.hr/islandora/object/pmf:10498
https://repozitorij.unizg.hr/islandora/object/pmf:10498/datastream/PDF
- Rights:
http://rightsstatements.org/vocab/InC/1.0/ ; info:eu-repo/semantics/openAccess
- الرقم المعرف:
edsbas.BFD4D300
No Comments.