Zobrazeno 1 - 10
of 381
pro vyhledávání: '"15b99"'
V.I. Kopeiko proved that over a euclidean ring, the symplectic group defined with respect to the standard skew-symmetric matrix is same as the elementary symplectic group. Here we generalise the result of Kopeiko for a symplectic group defined with r
Externí odkaz:
http://arxiv.org/abs/2412.10696
Autor:
Benhida, Chafiq, Budzyński, Piotr
Unbounded complex symmetric weighted shifts are studied. Complex symmetric unilateral weighted shifts whose $C^\infty$ vectors contain the image of the canonical orthonormal basis under the conjugation are shown to be decomposable into an orthogonal
Externí odkaz:
http://arxiv.org/abs/2411.17664
We study and solve several problems in two closely related settings: set families in $2^{[n]}$ with many disjoint pairs of sets and low rank matrices with many zero entries. - More than 40 years ago, Daykin and Erd\H{o}s asked for the maximum number
Externí odkaz:
http://arxiv.org/abs/2411.13510
Positive spanning sets (PSSs) are families of vectors that span a given linear space through non-negative linear combinations. Despite certain classes of PSSs being well understood, a complete characterization of PSSs remains elusive. In this paper,
Externí odkaz:
http://arxiv.org/abs/2411.08994
Autor:
Hurley, Ted
Unit derived schemes applied to Hadamard matrices are used to construct and analyse linear block and convolutional codes. Codes are constructed to prescribed types, lengths and rates and multiple series of self-dual, dual-containing, linear complemen
Externí odkaz:
http://arxiv.org/abs/2410.24027
A commutator of unipotent matrices of index 2 is a matrix of the form $XYX^{-1}Y^{-1}$, where $X$ and $Y$ are unipotent matrices of index 2, that is, $X\ne I_n$, $Y\ne I_n$, and $(X-I_n)^2=(Y-I_n)^2=0_n$. If $n>2$ and $\mathbb F$ is a field with $|\m
Externí odkaz:
http://arxiv.org/abs/2409.13339
Autor:
Respondek, Jerzy S
The author was encouraged to write this review by numerous enquiries from researchers all over the world, who needed a ready-to-use algorithm for the inversion of confluent Vandermonde matrices which works in quadratic time for any values of the para
Externí odkaz:
http://arxiv.org/abs/2407.15696
Autor:
Chatterjee, Tapas, Laha, Ayantika
In symmetric cryptography, maximum distance separable (MDS) matrices with computationally simple inverses have wide applications. Many block ciphers like AES, SQUARE, SHARK, and hash functions like PHOTON use an MDS matrix in the diffusion layer. In
Externí odkaz:
http://arxiv.org/abs/2406.12842
High-dimensional real-world systems can often be well characterized by a small number of simultaneous low-complexity interactions. The analysis of variance (ANOVA) decomposition and the anchored decomposition are typical techniques to find sparse add
Externí odkaz:
http://arxiv.org/abs/2403.15563
Autor:
Vassena, Nicola
We state two sufficient criteria for periodic oscillations in mass action systems. Neither criterion requires a computation of the Hurwitz determinants. Instead, both criteria exploit the linear algebra concepts of $D$-stability and $P$-matrices. The
Externí odkaz:
http://arxiv.org/abs/2402.18188