Results 11 to 20 of about 38 (38)

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

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 63, Page 3409-3417, 2004., 2004
Denote by 𝒦n(F) the linear space of all n × n alternate matrices over a field F. We first characterize all linear bijective maps on 𝒦n(F)(n ≥ 4) preserving rank 2 when F is any field, and thereby the characterization of all linear bijective maps on 𝒦n(F) preserving the max‐rank is done when F is any field except for {0, 1} .
Chongguang Cao, Xiaomin Tang
wiley   +1 more source

The Cayley transform of Banach algebras

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 427-428, 2002., 2002
The main result of Haynes (1991) is that a square matrix is convergent (limn→∞Dn = 0) if and only if it is the Cayley transform CA = (I−A)−1(I + A) of a stable matrix A. In this note, we show, with a simple proof, that the above is true in a much more general setting of complex Banach algebras.
Zhidong Pan
wiley   +1 more source

Stabilization of nonlinear systems by similarity transformations

International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 519-526, 1998., 1997
For a system x˙=A(x)+b(x)u, u(x) = s∗(x)x, x ∈ ℝn, where the pair (A(x), b(x)) is given, we obtain the feedback vector s(x) to stabilize the corresponding closed loop system. For an arbitrarily chosen constant vector g, a sufficient condition of the existence and an explicit form of a similarity transformation T(A(x), b(x), g) is established.
Irina E. Zuber
wiley   +1 more source

Stable matrices, the Cayley transform, and convergent matrices

International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 77-81, 1991., 1991
The main result is that a square matrix D is convergent () if and only if it is the Cayley transform CA = (I − A) −1(I + A) of a stable matrix A, where a stable matrix is one whose characteristic values all have negative real parts. In passing, the concept of Cayley transform is generalized, and the generalized version is shown closely related to the ...
Tyler Haynes
wiley   +1 more source

Listeria monocytogenes associated with New Zealand seafood production and clinical cases: unique sequence types, truncated InlA, and attenuated invasiveness. [PDF]

Appl Environ Microbiol, 2014
Cruz CD, Pitman AR, Harrow SA, Fletcher GC.   +3 more
europepmc   +1 more source

Genomic characterization of a MAGIC population containing introgressions from four tetraploid Gossypium species. [PDF]

Plant Genome
Pinnika G, Li P, McCarty JC, Jenkins JN, Fang DD.   +4 more
europepmc   +1 more source

Octopamine regulates neural circuits in the mushroom body and central complex, influencing sleep and arousal. [PDF]

iScience
Reyes M, Lee YS, Ali MM, Sundaramurthi P, Dhungana N, Nguyen A, Zimmerman T, Capponi S, Sitaraman D.   +8 more
europepmc   +1 more source

Longitudinal performance development in PRO and ELITE HYROX competitions across the first seven competitive seasons. [PDF]

Front Physiol
Rappelt L, Wiedenmann T, Held S, Heinke L, Micke F, Wicker P, Donath L.   +6 more
europepmc   +1 more source

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On Tate's trace

Linear and Multilinear Algebra, 2007
Martin Argerami
exaly  

Linear preservers of matrices of rank-2

Linear and Multilinear Algebra, 2001
LeRoy B. Beasley, Thomas J Laffey
exaly