Results 91 to 100 of about 60,735 (247)

Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians

open access: yesSymmetry, 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
doaj   +1 more source

A first-order spectral phase transition in a class of periodically modulated Hermitian Jacobi matrices [PDF]

open access: yesOpuscula Mathematica, 2008
We consider self-adjoint unbounded Jacobi matrices with diagonal \(q_n = b_{n}n\) and off-diagonal entries \(\lambda_n = n\), where \(b_{n}\) is a \(2\)-periodical sequence of real numbers. The parameter space is decomposed into several separate regions,
Irina Pchelintseva
doaj  

Jost asymptotics for matrix orthogonal polynomials on the real line

open access: yes, 2011
We obtain matrix-valued Jost asymptotics for block Jacobi matrices under an L1-type condition on Jacobi parameters, and give a necessary and sufficient condition for an analytic matrix-valued function to be the Jost function of a block Jacobi matrix with
Kozhan, Rostyslav
core  

An Extended Krylov Subspace Method for Decoding Edge‐Based Compressed Images by Homogeneous Diffusion

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT The heat equation is often used to inpaint dropped data in inpainting‐based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the computation of the solution of the heat equation at large times.
Volker Grimm, Kevin Liang
wiley   +1 more source

On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices

open access: yesBulletin of Mathematical Sciences
Classical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second-order linear recurrence relation.
Misael E. Marriaga   +3 more
doaj   +1 more source

A general approach to the linear stability of viscoelastic shear‐flows

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley   +1 more source

Stabilized Ion Selectivity Corrects Activation Drift in Kalium Channelrhodopsins

open access: yesAdvanced Science, Volume 13, Issue 6, 30 January 2026.
As newly emerged optogenetic tools, potassium channelrhodopsins (KCRs) can drift from inhibition to activation during illumination as K⁺ selectivity declines. It is shown that both the absolute K⁺/Na⁺ permeability ratio and its stability over time govern this drift, identify KCR1‐C29D as a reliably inhibitory variant, and outline design principles for ...
Xiao Duan   +14 more
wiley   +1 more source

A priori estimates and large population limits for some nonsymmetric Nash systems with semimonotonicity

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.
Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley   +1 more source

Numerical Solutions of Odd Order Linear and Nonlinear Initial Value Problems Using a Shifted Jacobi Spectral Approximations

open access: yesAbstract and Applied Analysis, 2012
A shifted Jacobi Galerkin method is introduced to get a direct solution technique for solving the third- and fifth-order differential equations with constant coefficients subject to initial conditions.
A. H. Bhrawy, M. A. Alghamdi
doaj   +1 more source

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