Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices
In the paper, the authors establish some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices and modify shortcomings of some known inequalities for generalized eigenvalues in the related literature.
Yan Hong, Dongkyu Lim, Feng Qi
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On nonlinear perturbations of the eigenvalues of a compact self-adjoint operator [PDF]
Melvyn S. Berger
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AGORA: Adaptive Generation of Orthogonal Rational Approximations for Frequency‐Response Data
This paper introduces the adaptive generation of orthogonal rational approximations (AGORA) method for rational function approximation of measured or simulated microwave network parameters. AGORA allows estimating the model order for a given error tolerance and does not require any initial estimates or adjustment of hyperparameters. ABSTRACT This paper
Andria Lemus, Arif Ege Engin
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Studies in Perturbation Theory. XI. Lower Bounds to Energy Eigenvalues, Ground State, and Excited States [PDF]
Per‐Olov Löwdin
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Nongeneric eigenvalue perturbations of Jordan blocks
AbstractWe show that if an n × n Jordan block is perturbed by an O(ε) upper k-Hessenberg matrix (k subdiagonals including the main diagonal), then generically the eigenvalues split into p rings of size k and one of size r (if r ≠ 0), where n = pk + r. This generalizes the familiar result (k = n, p = 1, r = 0) that generically the eigenvalues split into
Yanyuan Ma, Alan Edelman
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Fine‐Tuning Gramicidin S: How δ‐Phenylproline Affects Turns and Interaction with Membrane
Introducing a phenyl group at the 5‐cis position of proline in gramicidin S markedly alters its conformation. This substitution induces a double γ‐turn that disrupts the native β‐sheet and hinders membrane insertion. The incorporation of a phenyl ring at the 5‐position of proline markedly influences the conformation and membrane interactions of ...
Irene Sánchez‐Burillo+3 more
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A Simple Matrix Approach to Determination of the Helium Atom Energies
Calculation of He atomic energy levels using the first order perturbation theory taught in the Basic Quantum Mechanics course has led to relatively large errors.
Redi Kristian Pingak+2 more
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Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems
We show that a multiple eigenvalue has different sensitivities under perturbations in a generalized Hermitian eigenvalue problem. Our result provides a solution to a question raised by Stewart and Sun.
Y. Nakatsukasa
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ABSTRACT Objective Social media use can negatively impact both physical and mental well‐being by influencing aspects like body image and potentially leading to eating disorders. This issue is particularly significant during pregnancy, a time when maternal and foetal health are heavily influenced by nutrition. This study aims to examine how social media
Ebru Dığrak+2 more
wiley +1 more source
Thermoelastic Cylinder Subjected to Suddenly Applied Radial Symmetric Pressure
Stresses, temperature and oscillations of a thermoelastic cylinder suddenly cxposed to the radial symmetric pressure are analyzed in the paper. Solution of the corresponding eigenvalue problem is obtained by means of the perturbation technique, so that
M.M. Marjanov
doaj