Results 51 to 60 of about 1,684,687 (171)
Invertibility and Explicit Inverses of Circulant-Type Matrices with k-Fibonacci and k-Lucas Numbers
Circulant matrices have important applications in solving ordinary differential equations. In this paper, we consider circulant-type matrices with the k-Fibonacci and k-Lucas numbers.
Zhaolin Jiang, Yanpeng Gong, Yun Gao
doaj +1 more source
Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers
In this paper, we study norms of circulant and r-circulant matrices involving harmonic Fibonacci and hyperharmonic Fibonacci numbers.
Tuglu, Naim and Kizilates, Can
core +1 more source
At ProvSec 2013, Minematsu presented the circulant hash, an almost-xor universal hash using only the xor and rotation operations. The circulant hash is a variant of Carter and Wegman’s H3 hash as well as Krawczyk’s Toeplitz hash, both of which are hashes
Araujo Filipe, Neves Samuel
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The p-norm of circulant matrices via Fourier analysis
A recent work derived expressions for the induced p-norm of a special class of circulant matrices A(n, a, b) ∈ ℝn×n, with the diagonal entries equal to a ∈ ℝ and the off-diagonal entries equal to b ≥ 0.
Sahasranand K. R.
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On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices
Circulant matrices have important applications in solving various differential equations. The level-k scaled factor circulant matrix over any field is introduced.
Zhaolin Jiang
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Definition and Computation of Tensor‐Based Generalized Function Composition
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley +1 more source
Determinant evaluations for binary circulant matrices
Determinant formulas for special binary circulant matrices are derived and a new open problemregarding the possible determinant values of these specific circulant matrices is stated. The ideas used forthe proofs can be utilized to obtain more determinant
Kravvaritis Christos
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To address the challenges of channel sensitivity and reliability in aircraft cabin environments, this paper proposes a reinforcement learning‐assisted bidirectional communication system utilizing visible light for the downlink and infrared for the uplink. By combining an improved, resource‐efficient LMMSE algorithm for channel estimation with RL‐driven
Lei Xiao +5 more
wiley +1 more source
Range–Doppler Estimation With an EM‐Learned Prior for Pulse‐Agile Waveforms
This letter proposes an expectation–maximisation (EM)‐based range–Doppler (RD) estimator that adaptively learns the clutter and target distributions and adjusts an RD prior map. By optimising the shrinkage strength via prior weighting, the proposed method improves RSM suppression in the region of interest.
Xiaojian Xu +3 more
wiley +1 more source

