Inverse interval matrix: a survey
The electronic journal of linear algebra, Tome 22 (2011), pp. 704-719.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Results on the inverse interval matrix, both theoretical and computational, are surveyed. Described are, among others, formulae for the inverse interval matrix, NP-hardness of its computation, various classes of interval matrices for which the inverse can be given explicitly, and closed-form formulae for an enclosure of the inverse.
Classification : 15A09, 65G20, 65G40
Keywords: interval matrix, inverse interval matrix, NP-hardness, enclosure, unit midpoint, inverse sign stability, nonnegative invertibility, absolute value equation, algorithm
@article{ELA_2011__22__a31,
     author = {Rohn, Jiri and Farhadsefat, Raena},
     title = {Inverse interval matrix: a survey},
     journal = {The electronic journal of linear algebra},
     pages = {704--719},
     publisher = {mathdoc},
     volume = {22},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2011__22__a31/}
}
TY  - JOUR
AU  - Rohn, Jiri
AU  - Farhadsefat, Raena
TI  - Inverse interval matrix: a survey
JO  - The electronic journal of linear algebra
PY  - 2011
SP  - 704
EP  - 719
VL  - 22
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ELA_2011__22__a31/
LA  - en
ID  - ELA_2011__22__a31
ER  - 
%0 Journal Article
%A Rohn, Jiri
%A Farhadsefat, Raena
%T Inverse interval matrix: a survey
%J The electronic journal of linear algebra
%D 2011
%P 704-719
%V 22
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ELA_2011__22__a31/
%G en
%F ELA_2011__22__a31
Rohn, Jiri; Farhadsefat, Raena. Inverse interval matrix: a survey. The electronic journal of linear algebra, Tome 22 (2011), pp. 704-719. http://geodesic.mathdoc.fr/item/ELA_2011__22__a31/