RT Journal Article
T1 Generic symmetric matrix pencils with bounded rank
A1 Terán Vergara, Fernando de
A1 Dmytryshyn, Andrii
A1 Martínez Dopico, Froilán César
AB We show that the set of n × n complex symmetric matrix pencils of rank at most r is the union of the closures of [r/2] + 1 sets of matrix pencils with some, explicitly described,complete eigenstructures. As a consequence, these are the generic complete eigenstructures of n × n complex symmetric matrix pencils of rank at most r. We also show that these closures correspondto the irreducible components of the set of n × n symmetric matrix pencils with rank at most r when considered as an algebraic set.
PB European Mathematical Society (EMS)
SN 1664-039X
YR 2020
FD 2020-09-15
LK https://hdl.handle.net/10016/32292
UL https://hdl.handle.net/10016/32292
LA eng
DS e-Archivo
RD 23 may. 2024