Filtry
Relation between the propagator matrix of geodesic deviation and the second-order derivatives of the characteristic function
serve to calculate geodesic deviations, amplitudes of waves and the second-order spatial derivatives of the characteristic function or action. The propagator matrix is based on the first-order pa...
DC - Seismologie, vulkanologie a struktura Země
- 2013 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Convexity and generalized second-order derivatives for locally lipschitz functions
We define the generalized second-order directional derivatives by means of the Clarke generalized gradient for locally Lipschitz functions. Then we give characterization of convexity and state a new sufficient opti...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Characterization of strict convexity for locally Lipschitz functions
locally Lipschitz functions by means of the second-order upper (Dini) directional derivative. Using the (Dini) type of generalized second-order directional derivative, we functions
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Generalized directional derivatives
The book is devoted to generalized second-order directioanal derivatives and to the class of functions for which the lower Dini derivative is Lipschitz. The optimality conditions for the problems without c...
BA - Obecná matematika
- 2010 •
- B
Rok uplatnění
B - Odborná kniha
Calculation of the amplitudes of elastic waves in anisotropic media in Cartesian or ray-centred coordinates
-centred coordinates, (e) in terms of the 3x3 matrix of the mixed second-order spatial derivatives of the characteristic function with respect to the source and receiver Cartesian coordinates, and (f) in t...
Earth and related environmental sciences
- 2019 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Fréchet approach to generalized second-order differentiability
The Fréchet approach to generalized second-order differentiability gives new sufficient optimality conditions for locally Lipschitz functions which seem to be useful for C^{1,1} functions and functions pos...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on second-order optimality conditions
In this note we compare second-order sufficient conditions for optimality presented by V.Jeyakumar and D.T. Luc, and D. Bednařík and the author. We show that these results can be jointly generalized using some facts from convex anal...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On second-order conditions in unconstrained optimization
The main purpose of this paper is to establish the second-order nonsmooth sufficient unconstrained optimality condition for so called l-stable at some point functions and in this way to generalize some previous results in t...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
l-stable functions and its applications
The aim of the paper is to present a special class of functions which satisfy l-stable property which is similar to property. We also show some applications in scalar and vector nonsmooth optimization. The class of -stable functions...
BA - Obecná matematika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Fréchet approach in second-order optimization
We state a certain second-order sufficient optimality condition for functions defined in infinite dimensional spaces by means of generalized Fréchet's approach to second-order differentiability. Moreover, ...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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