Results 71 to 80 of about 23,326 (218)
A note on the eigenvalue free intervals of some classes of signed threshold graphs
Special Matrices, 2019 We consider a particular class of signed threshold graphs and their eigenvalues. If Ġ is such a threshold graph and Q(Ġ ) is a quotient matrix that arises from the equitable partition of Ġ , then we use a sequence of elementary matrix operations to prove
Anđelić Milica +2 more
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On the Coulomb-Sturmian matrix elements of the Coulomb Green's operator
, 2006 The two-body Coulomb Hamiltonian, when calculated in Coulomb-Sturmian basis, has an infinite symmetric tridiagonal form, also known as Jacobi matrix form.
F. Demir +6 more
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Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.This paper presents an efficient numerical scheme for the space–time tempered fractional convection–diffusion equation, where the time derivative is the Caputo‐tempered fractional derivative and the space derivatives are the normalized left and right Riemann–Liouville tempered fractional derivatives.
Dechao Gao +4 more
wiley +1 more source
Sampling expansions associated with quaternion difference equations
, 2020 Starting with a quaternion difference equation with boundary conditions, a parameterized sequence which is complete in finite dimensional quaternion Hilbert space is derived. By employing the parameterized sequence as the kernel of discrete transform, we
Cheng, Dong +3 more
core
Matrix methods for Pad\'e approximation: numerical calculation of poles, zeros and residues
, 2018 A representation of the Pad\'e approximation of the $Z$-transform of a signal as a resolvent of a tridiagonal matrix $J$ is given. Several formulas for the poles, zeros and residues of the Pad\'e approximation in terms of the matrix $J$ are proposed ...
Perotti, Luca, Wojtylak, Michal
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A Uniformly Convergent Scheme for Singularly Perturbed Unsteady Reaction–Diffusion Problems
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In the present work, a class of singularly perturbed unsteady reaction–diffusion problem is considered. With the existence of a small parameter ε, (0 < ε ≪ 1) as a coefficient of the diffusion term in the proposed model problem, there exist twin boundary layer regions near the left end point x = 0 and right end point x = 1 of the spatial domain.
Amare Worku Demsie +3 more
wiley +1 more source
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries.
Gusein Sh. Guseinov
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Polynomial sequences generated by infinite Hessenberg matrices
Special Matrices, 2017 We show that an infinite lower Hessenberg matrix generates polynomial sequences that correspond to the rows of infinite lower triangular invertible matrices. Orthogonal polynomial sequences are obtained when the Hessenberg matrix is tridiagonal. We study
Verde-Star Luis
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A New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we define a new type of number sequence called biperiodic Leonardo sequence by the recurrence relation Lena,b=aLen−1+Len−2+1 (for even n) and Lena,b=bLen−1+Len−2+1 (for odd n) with the initial conditions Le0a,b=Le1a,b=1. We obtained the characteristic function, generating function, and Binet’s formula for this sequence and propose a ...
Hasan Gökbaş, Mohammad W. Alomari
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Journal of Mathematics, Volume 2025, Issue 1, 2025.The present investigation proposes a unique strategy for the establishment of a controllable queuing system using Markovian modeling. In comparison to conventional models, this approach combines customer impatience, feedback procedure, and working vacation into the statistical modeling of queues in a novel manner.
Shreekant Varshney +6 more
wiley +1 more source