Results 111 to 120 of about 6,302 (292)
Perturbation theory of multiparameter eigenvalue problems
Journal of Mathematical Analysis and Applications, 1988 Let \(T_ r\) and \(V_{rs}\) be linear selfadjoint operators in Hilbert spaces \({\mathfrak H}_ r\). Let \(\lambda_ s\) be complex parameters. Then it is considered the multiparameter system \[ (T_ r+\sum^{k}_{s=1}\lambda_ sV_{rs})u_ r=0,\quad r=1,...,k. \] The main objective is to study the influence of perturbations for the operators \(T_ r\).
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Civil Engineering Design, EarlyView.Abstract The German Research Foundation has established the priority program SPP 100+. Its subject is monitoring bridge structures in civil engineering. The data‐driven methods cluster deals with the use of measurements and their special global and local analysis methods, which complement each other in an overall multi‐scale concept in order to realize
Maximilian Rohrer +13 more
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, EarlyView.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
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Civil and Environmental Engineering, 2014 The paper presents the perturbation method which was used for computation of eigenvalues and eigenvectors for the assumed homogeneous state of strain in the hyperelastic Murnaghan material.
Major Izabela, Major Maciej
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Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver
Communications on Pure and Applied Mathematics, EarlyView.Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
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Fixing two eigenvalues by a minimal perturbation
Linear Algebra and its Applications, 2005 The author presents a generalization of the optimal perturbation \(\Delta M\) to a given matrix \(M\) (in the sense that \(\|\Delta M\|_2\) is minimal such that \(M-\Delta M\) has a given eigenvalue \(\lambda_0\)), namely: finding \(\|\Delta M\|_2\) optimal perturbation of \(M\) such that \(M-\Delta M\) has two given eigenvalues \(\lambda_0\) and ...
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ChemPhysChem, Volume 26, Issue 6, March 15, 2025.Linear infrared spectroscopy combined with isotope labeling and density functional theory unravels the origin of a Fermi triad in a multifunctional vibrational chromophore. Ultrafast 2DIR‐spectroscopy reports directly on the dynamics and the intramolecular vibrational energy flow pathways in the isotopically deperturbed system. Abstract Infrared probes
Claudia Gräve +4 more
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Perturbations of symmetric constraints in eigenvalue problems for variational inequalities [PDF]
, 1996 Sergio Lancelotti
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Perturbation in eigenvalues of a symmetric tridiagonal matrix
Linear Algebra and its Applications, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Revisiting CN− Formation Mechanisms in Electron Collisions with Benzonitrile
ChemPhysChem, EarlyView.This study explores negative ion formation via electron attachment, revealing CN− formation at 3.0 and 7–10 eV. Dissociation pathways are analyzed using G4(MP2) and CASPT2 calculations, highlighting the coupling between the π4* and σ* resonances critical for interstellar chemistry. Radiation‐induced processes in the aromatic cyano compound benzonitrile
Rodrigo Rodrigues +8 more
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