Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Sanjo Zlobec"'
Autor:
Sanjo Zlobec
Publikováno v:
Croatian Operational Research Review, Vol 8, Iss 1, Pp 351-356 (2017)
A set of sufficient conditions which guarantee the existence of a point x⋆ such that f(x⋆) = x⋆ is called a "fixed point theorem". Many such theorems are named after well-known mathematicians and economists. Fixed point theorems are among most
Externí odkaz:
https://doaj.org/article/ea3acb5b9da941718744f0d446ad3350
Autor:
Sanjo Zlobec
Publikováno v:
Croatian Operational Research Review, Vol 5, Iss 1, Pp 1-13 (2014)
Many real life situations can be described using twice continuously differentiable functions over convex sets with interior points. Such functions have an interesting separation property: At every interior point of the set they separate particular cl
Externí odkaz:
https://doaj.org/article/2c23c3152a994c409c4a2996de9e1d57
Autor:
Sanjo Zlobec
Publikováno v:
Croatian Operational Research Review, Vol 2, Iss 1, Pp 3-3 (2011)
The derivative of a function f in n variables at a point x* is one of the most important tools in mathematical modelling. If this object exists, it is represented by the row n-tuple f(x*) = [∂f/∂xi(x*)] called the gradient of f at x*, abbrevia
Externí odkaz:
https://doaj.org/article/9ac735506b6f456c94b6bdecb2761a81
Autor:
Luka Neralić, Sanjo Zlobec
Publikováno v:
Matematičko fizički list
Volume 68
Issue 270
Volume 68
Issue 270
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______951::c938908bd8c04b099c51bd2d781f95cf
https://hrcak.srce.hr/file/324423
https://hrcak.srce.hr/file/324423
Autor:
R. Trujillo-Cortez, Sanjo Zlobec
Publikováno v:
Optimization. 58:1009-1028
Bilevel convex models are studied after being cast into a parametric programming form. This form has a lexicographic inner-outer structure where the optimal value of the outer model is optimized on the set of optimal solutions of the inner model. Opt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd8474d07faa249ffecb08ed257b984f
https://doi.org/10.1080/02331930701763330
https://doi.org/10.1080/02331930701763330
Autor:
Sanjo Zlobec
Publikováno v:
Journal of Global Optimization. 46:155-161
We study smooth functions in several variables with a Lipschitz derivative. It is shown that these functions have the "envelope property": Around zero-derivative points, and only around such points, the functions are envelopes of a quadratic paraboll
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d850e7f8a9ea67311572543a24eb2a2d
https://doi.org/10.1007/s10898-009-9457-4
https://doi.org/10.1007/s10898-009-9457-4
Autor:
Sanjo Zlobec
Publikováno v:
Optimization. 57:249-261
Every continuous Lipschitz function, when considered on a compact convex set, is a plane away from the set of coordinate-wise monotone functions. If a function is smooth, and if its derivative is Lipschitz, then the function is a strictly convex quad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c54dcbc360f29111ca016fb086231d0
https://doi.org/10.1080/02331930701779880
https://doi.org/10.1080/02331930701779880
Autor:
Sanjo Zlobec
Publikováno v:
Optimization. 55:251-261
A necessary and sufficient condition is given for a continuous function to be convexified, i.e., decomposed into the sum of a convex and a quadratic concave function. The class of smooth convexifiable functions is large. It includes all the continuou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ee655853561cc6b3055ebbaad137b75
https://doi.org/10.1080/02331930600711968
https://doi.org/10.1080/02331930600711968