Directional derivatives of quasiconvex functionals

1988 ◽  
Vol 41 (6) ◽  
pp. 1425-1428
Author(s):  
A. I. Korablev
Keyword(s):  
Directional Derivatives ◽  
Derivatives Of

On second-order directional derivatives of value functions

Optimization ◽  
2013 ◽  
Vol 64 (2) ◽  
pp. 389-407 ◽  
Author(s):  
L. Minchenko ◽  
A. Tarakanov
Keyword(s):  
Second Order ◽  
Directional Derivatives ◽  
Value Functions ◽  
Derivatives Of

A Method of Solving a Class of CIV Boundary Value Problems

1992 ◽  
Vol 35 (3) ◽  
pp. 371-375
Author(s):  
Nezam Iraniparast
Keyword(s):  
Green’S Function ◽  
Boundary Value Problems ◽  
Green's Function ◽  
Boundary Value ◽  
Directional Derivatives ◽  
Derivatives Of

AbstractA method will be introduced to solve problems utt — uss = h(s, t), u(t,t) - u(1+t,1 - t), u(s,0) = g(s), u(1,1) = 0 and for (s, t) in the characteristic triangle R = {(s,t) : t ≤ s ≤ 2 — t, 0 ≤ t ≤ 1}. Here represent the directional derivatives of u in the characteristic directions e1 = (— 1, — 1) and e2 = (1, — 1), respectively. The method produces the symmetric Green's function of Kreith [1] in both cases.

On Derivatives and Norms of Generalized Matrix Functions and Respective Symmetric Powers

2015 ◽  
Vol 30 ◽  
Author(s):  
Sonia Carvalho ◽  
Pedro Freitas
Keyword(s):  
Symmetric Group ◽  
Symmetric Tensor ◽  
Directional Derivatives ◽  
Matrix Functions ◽  
Tensor Power ◽  
Symmetric Powers ◽  
Generalized Matrix ◽  
Derivatives Of

In recent papers, S. Carvalho and P. J. Freitas obtained formulas for directional derivatives, of all orders, of the immanant and of the m-th $\xi$-symmetric tensor power of an operator and a matrix, when $\xi$ is a character of the full symmetric group. The operator bound norm of these derivatives was also calculated. In this paper similar results are established for generalized matrix functions and for every symmetric tensor power.

The second-order directional derivatives of singular values

2013 ◽  
Vol 43 (2) ◽  
pp. 121-136
Author(s):  
LiWei ZHANG ◽  
XianTao XIAO ◽  
Ning ZHANG
Keyword(s):  
Singular Values ◽  
Second Order ◽  
Directional Derivatives ◽  
Derivatives Of

scholarly journals Nearest points to closed sets and directional derivatives of distance functions

1989 ◽  
Vol 39 (2) ◽  
pp. 233-238 ◽  
Author(s):  
Simon Fitzpatrick
Keyword(s):  
Distance Function ◽  
Directional Derivative ◽  
Distance Functions ◽  
Directional Derivatives ◽  
Closed Set ◽  
Closed Sets ◽  
Set Of Points ◽  
Derivatives Of ◽  
Nearest Points ◽  
Dense Set

We investigate the circumstances under which the distance function to a closed set in a Banach space having a one-sided directional derivative equal to 1 or −1 implies the existence of nearest points. In reflexive spaces we show that at a dense set of points outside a closed set the distance function has a directional derivative equal to 1.

Sign in / Sign up

Export Citation Format

Share Document