Geodesic
A method for the inverse numerical range problem
The electronic journal of linear algebra, Tome 20 (2010), pp. 198-206.

Voir la notice de l'article provenant de la source 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
Keywords: numerical range, inverse problem, field of values, geometric computing, generating vector 
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Chorianopoulos, Christos; Psarrakos, Panayiotis; Uhlig, Frank. A method for the inverse numerical range problem. The electronic journal of linear algebra, Tome 20 (2010), pp. 198-206. http://geodesic.mathdoc.fr/item/ELA_2010__20__a39/