Results 11 to 20 of about 511,937 (269)
Explicit inverse of nonsingular Jacobi matrices [PDF]
Discrete Applied Mathematics, 2018 We present here the necessary and sufficient conditions for the invertibility of tridiagonal matrices, commonly named Jacobi matrices, and explicitly compute their inverse. The techniques we use are related with the solution of Sturm-Liouville boundary value problems associated to second order linear difference equations.
A.M. Encinas +1 more
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Dynamic inverse problem for Jacobi matrices [PDF]
Inverse Problems & Imaging, 2017 We consider the inverse dynamical problem for the dynamical system with discrete time associated with the semi-infinite Jacobi matrix. We solve the inverse problem for such a system and answer a question on the characterization of the inverse data.
A. Mikhaylov, V. Mikhaylov
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Spectral Properties of Block Jacobi Matrices [PDF]
Constructive Approximation, 2017 We study the spectral properties of bounded and unbounded Jacobi matrices whose entries are bounded operators on a complex Hilbert space. In particular, we formulate conditions assuring that the spectrum of the studied operators is continuous.
Grzegorz Świderski
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Periodic Jacobi matrices on trees [PDF]
Advances in Mathematics, 2019 appeared as Adv. Math.
Nir Avni, Jonathan Breuer, B. Simon
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Journal of Computational and Applied Mathematics, 2001 AbstractComplex Jacobi matrices play an important role in the study of asymptotics and zero distribution of formal orthogonal polynomials (FOPs). The latter are essential tools in several fields of numerical analysis, for instance in the context of iterative methods for solving large systems of linear equations, or in the study of Padé approximation ...
Bernhard Beckermann
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The construction of Jacobi and periodic Jacobi matrices with prescribed spectra [PDF]
Mathematics of Computation, 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. Numerical evidence demonstrates that these algorithms are of practical utility.
Warren E. Ferguson
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Jacobi matrices on trees [PDF]
Colloquium Mathematicum, 2010 Symmetric Jacobi matrices on one sided homogeneous trees are studied. Essential selfadjointness of these matrices turns out to depend on the structure of the tree. If a tree has one end and infinitely many origin points the matrix is always essentially selfadjoint independently of the growth of its coefficients.
Agnieszka M. Kazun, Ryszard Szwarc
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Lieb-Thirring Inequalities for Jacobi Matrices
Journal of Approximation Theory, 2001 21 pages ...
Dirk Hundertmark, Barry Simon
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Spectral Estimates for Periodic Jacobi Matrices [PDF]
Communications in Mathematical Physics, 2003 We obtain bounds for the spectrum and for the total width of the spectral gaps for Jacobi matrices on $\ell^2(\Z)$ of the form $(H )_n= a_{n-1} _{n-1}+b_n _n+a_n _{n+1}$, where $a_n=a_{n+q}$ and $b_n=b_{n+q}$ are periodic sequences of real numbers. The results are based on a study of the quasimomentum $k(z)$ corresponding to $H$. We consider $k(z)$
Evgeny Korotyaev, Igor Krasovsky
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On the location of the eigenvalues of Jacobi matrices
Applied Mathematics Letters, 2006 AbstractUsing some well known concepts on orthogonal polynomials, some recent results on the location of eigenvalues of tridiagonal matrices of very large order are extended. A significant number of important papers are unified.
Carlos M. da Fonseca
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