Results 11 to 20 of about 237 (22)

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

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

An algorithm for discrete fractional Hadamard transform

, 2015
We present a novel algorithm for calculating the discrete fractional Hadamard transform for data vectors whose size N is a power of two. A direct method for calculation of the discrete fractional Hadamard transform requires $N^2$ multiplications, while ...
Cariow, Aleksandr, Majorkowska-Mech, Dorota   +1 more
core   +1 more source

Counting Semilinear Endomorphisms Over Finite Fields [PDF]

, 2011
For a finite field k and a triple of integers g \ge r \ge s \ge 0, we count the number of semilinear endomorphisms of a g-dimensional k-vector space which have rank r and stable rank s. Such endomorphisms show up naturally in the classification of finite
Holland, Timothy
core  

On the Gibson Bounds over Finite Fields [PDF]

, 2012
2010 Mathematics Subject Classification: 15A15, 15A04.We investigate the Pólya problem on the sign conversion between the permanent and the determinant over finite fields.
E. Guterman, Alexander, V. Budrevich, Mikhail   +1 more
core  

Dvoosne rotacijske plohe [PDF]

, 2005
Special class of surfaces, two-axial surfaces of revolution created by the Euclidean metric transformation of a simultaneous revolution about two different axes, is presented in the paper. Three specific subclasses of surfaces are classified with respect
Daniela Velichová
core  

Neotropical ostracode oxygen and carbon isotope signatures: implications for calcification conditions. [PDF]

Biogeochemistry, 2022
Wrozyna C, Meyer J, Dietzel M, Piller WE.   +3 more
europepmc   +1 more source

Sequencing Analysis and Identification of the Primary Peptide Component of the Dialyzable Leukocyte Extract "Transferon Oral": The Starting Point to Understand Its Mechanism of Action. [PDF]

Front Pharmacol, 2020
Vallejo-Castillo L, Favari L, Vázquez-Leyva S, Mellado-Sánchez G, Macías-Palacios Z, López-Juárez LE, Valencia-Flores L, Medina-Rivero E, Chacón-Salinas R, Pavón L, Pérez-Tapia SM.   +10 more
europepmc   +1 more source

Distinct dopamine neurons mediate reward signals for short- and long-term memories. [PDF]

Proc Natl Acad Sci U S A, 2015
Yamagata N, Ichinose T, Aso Y, Plaçais PY, Friedrich AB, Sima RJ, Preat T, Rubin GM, Tanimoto H.   +8 more
europepmc   +1 more source