scholarly journals Linear preservers of copositive matrices

2019 ◽  
pp. 1-10 ◽  
Author(s):  
Susana Furtado ◽  
C. R. Johnson ◽  
Yulin Zhang
Keyword(s):  
Copositive Matrices ◽  
Linear Preservers

scholarly journals Criteria for copositive matrices using simplices and barycentric coordinates

1995 ◽  
Vol 220 ◽  
pp. 9-30 ◽  
Author(s):  
Lars-Erik Andersson ◽  
Gengzhe Chang ◽  
Tommy Elfving
Keyword(s):  
Barycentric Coordinates ◽  
Copositive Matrices

scholarly journals Linear preservers on triangular matrices

1998 ◽  
Vol 269 (1-3) ◽  
pp. 241-255 ◽  
Author(s):  
W.L. Chooi ◽  
M.H. Lim
Keyword(s):  
Triangular Matrices ◽  
Linear Preservers

scholarly journals Linear preservers on matrices

1987 ◽  
Vol 93 ◽  
pp. 67-80 ◽  
Author(s):  
Gin-Hor Chan ◽  
Ming-Huat Lim ◽  
Kok-Keong Tan
Keyword(s):  
Linear Preservers

scholarly journals Linear preservers of minimal rank

2000 ◽  
Vol 310 (1-3) ◽  
pp. 73-82 ◽  
Author(s):  
Leiba Rodman ◽  
Peter Šemrl
Keyword(s):  
Minimal Rank ◽  
Linear Preservers

scholarly journals Linear maps preserving rank 2 on the space of alternate matrices and their applications

2004 ◽  
Vol 2004 (63) ◽  
pp. 3409-3417 ◽  
Author(s):  
Chongguang Cao ◽  
Xiaomin Tang
Keyword(s):  
Linear Space ◽  
Linear Preservers ◽  
Linear Maps ◽  
Rank 2

Denote by𝒦n(F)the linear space of alln×nalternate matrices over a fieldF. We first characterize all linear bijective maps on𝒦n(F)(n≥4)preserving rank 2 whenFis any field, and thereby the characterization of all linear bijective maps on𝒦n(F)preserving the max-rank is done whenFis any field except for{0,1}. Furthermore, the linear preservers of the determinant (resp., adjoint) on𝒦n(F)are also characterized by reducing them to the linear preservers of the max-rank whennis even andFis any field except for{0,1}. This paper can be viewed as a supplement version of several related results.

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