Results 41 to 50 of about 60,212 (199)
CMV matrices in random matrix theory and integrable systems: a survey
, 2005 We present a survey of recent results concerning a remarkable class of unitary matrices, the CMV matrices. We are particularly interested in the role they play in the theory of random matrices and integrable systems.
Ammar G S +21 more
core +2 more sources
Jacobi matrices with lacunary spectrum [PDF]
Journal of Mathematical Analysis and Applications, 2021 We find asymptotics of entries of Jacobi matrices with lacunary spectral data under some additional growth conditions. We also prove the inverse results. In addition, we study connections between Jacobi matrices, canonical systems and de Branges spaces for lacunary spectral ...
openaire +3 more sources
Performance Comparison of GPU-Based Jacobi Solvers Using CUDA Provided Synchronization Methods
IEEE Access, 2020 In this manuscript, variants of Jacobi solver implementation on general purpose graphical processing units (GPGPU) have been purposed and compared. During this work, parallel implementation of finite element method (FEM) using Poisson's equation on ...
Maria Aslam +3 more
doaj +1 more source
Journal of Computational and Applied Mathematics, 2001 This paper surveys and extends recent work on the connections between formal orthogonal polynomials, complex Jacobi continued fractions (\(J\)-fractions) and spectral properties of the underlying infinite complex symmetric tridiagonal (Jacobi) matrix. Special emphasis is given to unbounded recurrence coefficients.
openaire +1 more source
Finite gap Jacobi matrices: An announcement
Journal of Computational and Applied Mathematics, 2009 17 pages, 2 ...
Christiansen, Jacob S. +2 more
openaire +4 more sources
Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser
Advanced Science, EarlyView.An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu +9 more
wiley +1 more source
On the Fourier expansions of Jacobi forms
International Journal of Mathematics and Mathematical Sciences, 2004 We use the relationship between Jacobi forms and vector-valued modular forms to study the Fourier expansions of Jacobi forms of indexes p, p2, and pq for distinct odd primes p, q.
Howard Skogman
doaj +1 more source
Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective
Advanced Electronic Materials, EarlyView.Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe +4 more
wiley +1 more source
Four-body bound states in momentum space: the Yakubovsky approach without two-body t − matrices
Frontiers in Physics, 2023 This study presents a solution to the Yakubovsky equations for four-body bound states in momentum space, bypassing the common use of two-body t − matrices.
M. Mohammadzadeh +4 more
doaj +1 more source
Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices [PDF]
Opuscula Mathematica, 2020 We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.
Ayoub Harrat +2 more
doaj +1 more source