Results 51 to 60 of about 3,155 (225)
CMV: The unitary analogue of Jacobi matrices [PDF]
Communications on Pure and Applied Mathematics, 2006 AbstractWe discuss a number of properties of CMV matrices, by which we mean the class of unitary matrices studied recently by Cantero, Moral, and Velázquez. We argue that they play an equivalent role among unitary matrices to that of Jacobi matrices among all Hermitian matrices.
Killip, Rowan, Nenciu, Irina
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Characterizations of Jacobi sign regular matrices [PDF]
, 2012 Several characterizations of Jacobi nonsingular sign regular matrices are presented. Moreover, a stable test of O(n) elementary operations is obtained to check if an n×n Jacobi nonsingular matrix is sign ...
Barreras, A. +3 more
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The asymptotical spectrum of Jacobi matrices [PDF]
, 1977 A method to calculate the asymptotical eigenvalue density (asymptotical density of zeros) ρ(x) of Jacobi matrices (orthogonal polynomials) in terms of its moments is presented.
Sánchez-Dehesa, Jesus
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On bounded complex Jacobi matrices and related moment problems in the complex plane [PDF]
Surveys in Mathematics and its Applications, 2023 In this paper we consider the following moment problem: find a positive Borel measure μ on ℂ subject to conditions ∫ zn dμ = sn, n∈ℤ+, where sn are prescribed complex numbers (moments).
Sergey M. Zagorodnyuk
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Explicit inverse of nonsingular Jacobi matrices [PDF]
Discrete Applied Mathematics, 2019 The article will appear in Discrete Applied ...
Encinas Bachiller, Andrés Marcos +1 more
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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
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A Strong Szegő Theorem for Jacobi Matrices [PDF]
Communications in Mathematical Physics, 2007 We use a classical result of Gollinski and Ibragimov to prove an analog of the strong Szego theorem for Jacobi matrices on $l^2(\N)$. In particular, we consider the class of Jacobi matrices with conditionally summable parameter sequences and find necessary and sufficient conditions on the spectral measure such that $\sum_{k=n}^\infty b_k$ and $\sum_{k ...
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Advanced Science, EarlyView.This study presents a human Bone (and Bone Marrow)‐on‐a‐Chip model based on native human bone scaffolds and autologous cells. Dynamic perfusion and sequential cell seeding replicate the physiological bone remodeling process in vitro, enabling the long‐term culture of functional, mature bone marrow immune subpopulations.
Nina Stelzer +17 more
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The construction of Jacobi and periodic Jacobi matrices with prescribed spectra [PDF]
, 1980 The spectral properties of Jacobi and periodic Jacobi matrices are analyzed and algorithms for the construction of Jacobi and periodic Jacobi matrices with prescribed spectra are presented.
Warren E. Ferguson
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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
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