Implementation of analytical codifferentiation in MatLab
Numerical methods and programming, Tome 8 (2007) no. 1, pp. 1-5.

Voir la notice de l'article provenant de la source Math-Net.Ru

An approach to the analytical analysis of formulas with nonsmooth functions is developed on the basis of the codifferential calculus proposed by Demyanov and Rubinov. An application program package is implemented in MatLab. Using this package, it is possible to solve the problems in the fields of economics, mathematical diagnostics, the physics of solids and, first of all, to teach students about the theory and methods of multivalued analysis. A friendly user interface allows one to formulate complex expressions for nonsmooth functions and to obtain an exact or approximate codifferential in the form of a vertex set and, in the two-dimensional case, to represent it in a figure. This package also allows one to deal with complex nonsmooth models and to find extremum points when solving optimization problems.
Keywords: nonsmooth analysis, nondifferential optimization, subdifferential, superdifferential, quasidifferential, codifferential.
@article{VMP_2007_8_1_a17,
     author = {M. Yu. Andramonov and G. Sh. Tamasyan},
     title = {Implementation of analytical codifferentiation in {MatLab}},
     journal = {Numerical methods and programming},
     pages = {1--5},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2007_8_1_a17/}
}
TY  - JOUR
AU  - M. Yu. Andramonov
AU  - G. Sh. Tamasyan
TI  - Implementation of analytical codifferentiation in MatLab
JO  - Numerical methods and programming
PY  - 2007
SP  - 1
EP  - 5
VL  - 8
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2007_8_1_a17/
LA  - ru
ID  - VMP_2007_8_1_a17
ER  - 
%0 Journal Article
%A M. Yu. Andramonov
%A G. Sh. Tamasyan
%T Implementation of analytical codifferentiation in MatLab
%J Numerical methods and programming
%D 2007
%P 1-5
%V 8
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2007_8_1_a17/
%G ru
%F VMP_2007_8_1_a17
M. Yu. Andramonov; G. Sh. Tamasyan. Implementation of analytical codifferentiation in MatLab. Numerical methods and programming, Tome 8 (2007) no. 1, pp. 1-5. http://geodesic.mathdoc.fr/item/VMP_2007_8_1_a17/