A method for the inverse numerical range problem
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 198-206.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: For a given complex square matrix A, we develop, implement and test a fast geometric algorithm to find a unit vector that generates a given point in the complex plane if this point lies inside the numerical range of A, and if not, the method determines that the given point lies outside the numerical range.
Classification : 15A29, 15A60, 15A24, 65F30, 65J22
Mots-clés : numerical range, inverse problem, field of values, geometric computing, generating vector 
@article{EEJLA_2010__20__a39,
     author = {Chorianopoulos, Christos and Psarrakos, Panayiotis and Uhlig, Frank},
     title = {A method for the inverse numerical range problem},
     journal = {ELA. The Electronic Journal of Linear Algebra},
     pages = {198--206},
     publisher = {mathdoc},
     volume = {20},
     year = {2010},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a39/}
}
TY  - JOUR
AU  - Chorianopoulos, Christos
AU  - Psarrakos, Panayiotis
AU  - Uhlig, Frank
TI  - A method for the inverse numerical range problem
JO  - ELA. The Electronic Journal of Linear Algebra
PY  - 2010
SP  - 198
EP  - 206
VL  - 20
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a39/
LA  - en
ID  - EEJLA_2010__20__a39
ER  - 
%0 Journal Article
%A Chorianopoulos, Christos
%A Psarrakos, Panayiotis
%A Uhlig, Frank
%T A method for the inverse numerical range problem
%J ELA. The Electronic Journal of Linear Algebra
%D 2010
%P 198-206
%V 20
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a39/
%G en
%F EEJLA_2010__20__a39
Chorianopoulos, Christos; Psarrakos, Panayiotis; Uhlig, Frank. A method for the inverse numerical range problem. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 198-206. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a39/