On the entrywise powers of matrices

Communications in Algebra

Volumn 32, Issue 2, 2004, Pages 495-520

  Gorni, Gianluca ^a   Tutaj Gasińska, Halszka ^b  

^a UNIVERSITY OF UDINE   (Italy)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

Cubic linear maps; Jacobian conjecture; Kronecker product

Indexed keywords

EID: 22544469150     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1081/AGB-120027908     Document Type: Article

References (7)

1. Drużkowski, L. M. (1983). An effective approach to the Jacobian conjecture. Math. Ann. 264:303-313.
2. Drużkowski, L. M. (2001). New reduction in the Jacobian conjecture. Univ. lagel. Acta Math. 39:203-206.
3. Gorni, G., Tutaj-Gasińska, H. (2001). On the span invariant for cubic similarity. Ann. Polonici Math. 76(1-2)::113-119.
4. Horn, R. A., Johnson, Ch. R. (1992). Topics in Matrix Analysis. Cambridge: Cambridge University Press.
5. Hubbers, E.-M. G. M. (1998). Nilpotent Jacobians. Ph.D. thesis, Univ. of Nijmegen, The Netherlands.
6. Meisters, G. H. (1994). Invariants of cubic similarity. In: Recent Results on the Global Asymptotic Stability Jacobian Conjecture, Proceedings of the Workshop, Trento, Italy, September, 1993, Sabatini, M., ed. Trento, Italy: Trento Univ., UTM 429.
7. van den Essen, A. (2000). Polynomial Automorphisms and the Jacobian Conjecture. Vol. 190. Basel, Boston, Berlin: Birkhäuser, Progress in Mathematics.