Results 11 to 20 of about 3,155 (225)
On the completely indeterminate case for block Jacobi matrices [PDF]
Concrete Operators, 2017 We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal.
Osipov Andrey
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A spectral equivalence for Jacobi matrices [PDF]
Journal of Approximation Theory, 2007 We use the classical results of Baxter and Gollinski-Ibragimov to prove a new spectral equivalence 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=n}
Ryckman, E.
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Spectral representations for a class of banded Jacobi-type matrices [PDF]
Opuscula Mathematica, 2014 We describe some spectral representations for a class of non-self-adjoint banded Jacobi-type matrices. Our results extend those obtained by P.B. NaΓ―man for (two-sided infinite) periodic tridiagonal Jacobi matrices.
Ewelina Zalot, Witold Majdak
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On the calculation of Jacobi Matrices [PDF]
Linear Algebra and its Applications, 1983 AbstractGiven a Jacobi matrix, the problem in question is to find the Jacobi matrix corresponding to the weight function modified by a polynomial r. Galant and Gautschi derived algorithms, based on the generalized Christoffel theorem of Uvarov, applicable when the roots of r are known.
Kautsky, J, Golub, G.H
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Asymptotics of the discrete spectrum for complex Jacobi matrices [PDF]
Opuscula Mathematica, 2014 The spectral properties and the asymptotic behaviour of the discrete spectrum for a special class of infinite tridiagonal matrices are given. We derive the asymptotic formulae for eigenvalues of unbounded complex Jacobi matrices acting in \(l^2(\mathbb{N}
Maria Malejki
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Darboux transformation of symmetric Jacobi matrices and Toda lattices [PDF]
Frontiers in Applied Mathematics and StatisticsLet J be a symmetric Jacobi matrix associated with some Toda lattice. We find conditions for Jacobi matrix J to admit factorization J = LU (or J = ππ) with L (or π) and U (or π) being lower and upper triangular two-diagonal matrices, respectively.
Ivan Kovalyov, Oleksandra Levina
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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.
Beckermann, Bernhard
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Finite gap Jacobi matrices: An announcement [PDF]
Journal of Computational and Applied Mathematics, 2009 17 pages, 2 ...
Jacob S. Christiansen +2 more
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Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm. [PDF]
PLoS ONEThis paper focuses on modeling Resistor-Inductor (RL) electric circuits using a fractional Riccati initial value problem (IVP) framework. Conventional models frequently neglect the complex dynamics and memory effects intrinsic to actual RL circuits. This
Mahmoud Abd El-Hady +3 more
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Periodic Jacobi matrices on trees [PDF]
Advances in Mathematics, 2020 appeared as Adv. Math.
Avni, Nir +2 more
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