On the span invariant for cubic similarity

Gianluca Gorni, and Halszka Tutaj-Gasińska. "On the span invariant for cubic similarity." Annales Polonici Mathematici 76.1-2 (2001): 113-119. <http://eudml.org/doc/280729>.

@article{GianlucaGorni2001,
abstract = {Given a real n×n matrix A, we make some conjectures and prove partial results about the range of the function that maps the n-tuple x into the entrywise kth power of the n-tuple Ax. This is of interest in the study of the Jacobian Conjecture.},
author = {Gianluca Gorni, Halszka Tutaj-Gasińska},
journal = {Annales Polonici Mathematici},
keywords = {Drużkowski matrix; cubic similarity; matrices with real entries; positive semidefinite matrices; Hadamard product},
language = {eng},
number = {1-2},
pages = {113-119},
title = {On the span invariant for cubic similarity},
url = {http://eudml.org/doc/280729},
volume = {76},
year = {2001},
}

TY - JOUR
AU - Gianluca Gorni
AU - Halszka Tutaj-Gasińska
TI - On the span invariant for cubic similarity
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 1-2
SP - 113
EP - 119
AB - Given a real n×n matrix A, we make some conjectures and prove partial results about the range of the function that maps the n-tuple x into the entrywise kth power of the n-tuple Ax. This is of interest in the study of the Jacobian Conjecture.
LA - eng
KW - Drużkowski matrix; cubic similarity; matrices with real entries; positive semidefinite matrices; Hadamard product
UR - http://eudml.org/doc/280729
ER -