Results 31 to 40 of about 511,937 (269)
On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time [PDF]
Mathematical methods in the applied sciences, 2018 We derive special representation for Weyl functions for finite and semi‐infinite Jacobi matrices with bounded entries based on a relationship between spectral problem for Jacobi matrices and initial‐boundary value problem for auxiliary dynamical systems ...
A. Mikhaylov, V. Mikhaylov, S. Simonov
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On the calculation of Jacobi Matrices
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.
Jaroslav Kautsky, Gene H. Golub
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On Lie algebras of generalized Jacobi matrices [PDF]
Banach Center Publications, 2021 In this lecutre note, we consider infinite dimensional Lie algebras of generalized Jacobi matrices $\mathfrak{g}J(k)$ and $\mathfrak{gl}_\infty(k)$, which are important in soliton theory, and their orthogonal and symplectic subalgebras. In particular, we construct the homology ring of the Lie algebra $\mathfrak{g}J(k)$ and of the orthogonal and ...
Fialowski, Alice, Iohara, Kenji
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A Comparison of Sequential and GPU Implementations of Iterative Methods to Compute Reachability Probabilities [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We consider the problem of computing reachability probabilities: given a Markov chain, an initial state of the Markov chain, and a set of goal states of the Markov chain, what is the probability of reaching any of the goal states from the initial state ...
Elise Cormie-Bowins
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Ballistic Transport for Limit-Periodic Jacobi Matrices with Applications to Quantum Many-Body Problems [PDF]
, 2016 We study Jacobi matrices that are uniformly approximated by periodic operators. We show that if the rate of approximation is sufficiently rapid, then the associated quantum dynamics are ballistic in a rather strong sense; namely, the (normalized ...
J. Fillman
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Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems [PDF]
Revista matemática iberoamericana, 2016 We study the structure of the zeros of optimal polynomial approximants to reciprocals of functions in Hilbert spaces of analytic functions in the unit disk.
Catherine B'en'eteau +4 more
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On the completely indeterminate case for block Jacobi matrices
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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The spectrum of Jacobi matrices
Inventiones mathematicae, 1976 Let L be a periodic symmetric tridiagonal matrix of size N; "periodic" means that L has one extra-entry in the upper right corner and by symmetry in the lower left one. Let b i be the diagonal and ai the subdiagonal entries. The present paper deals with the space ~ ' of such matrices with a given spectrum.
Pierre van Moerbeke, Pierre van Moerbeke
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On a Discrete Inverse Problem for Two Spectra
Discrete Dynamics in Nature and Society, 2012 A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. The problem is to reconstruct the matrix using two sets of eigenvalues: one for the original Jacobi matrix ...
Gusein Sh. Guseinov
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On unbounded commuting Jacobi operators and some related issues
Concrete Operators, 2019 We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute ...
Osipov Andrey
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