Results 1 to 10 of about 489,127 (297)
The nonlinear eigenvalue problem * [PDF]
Acta Numerica, 2017 Nonlinear eigenvalue problems arise in a variety of science and engineering applications, and in the past ten years there have been numerous breakthroughs in the development of numerical methods. This article surveys nonlinear eigenvalue problems associated with matrix-valued functions which depend nonlinearly on a single scalar parameter, with a ...
Stefan Güttel, F. Tisseur
semanticscholar +3 more sources
A linear eigenvalue algorithm for the nonlinear eigenvalue problem [PDF]
Numerische Mathematik, 2012 A nonlinear matrix eigenvalue problem (NMEP) \(T(\lambda)x=0\) is transformed without loss of generality into a standard form \(\lambda B(\lambda)x=x\) (\(T\) and \(B\) analytic in \(\Omega\subset\mathbb{C}\)). This is then transformed into a linear operator eigenvalue problem (LOEP) of the form \(\lambda\mathcal{B}\varphi=\varphi\) (\(\varphi\in C_ ...
E. Jarlebring +2 more
semanticscholar +2 more sources
Note on a nonlinear eigenvalue problem [PDF]
Proceedings of the American Mathematical Society, 1963 1. V. F. Cowling, Walter Leighton and W. J. Thron, Twin convergence regions for continued fractions, Bull. Amer. Math. Soc. 50 (1944), 351-357. 2. R. E. Lane, Absolute convergence of continued fractions, Proc. Amer. Math. Soc. 3 (1952), 904-913. 3. R. E. Lane and H. S. Wall, Continued fractions with absolutely convergent even and odd parts, Trans. Amer.
M. Shinbrot
semanticscholar +3 more sources
JSIAM Letters, 2011 The performance of some nonlinear eigenvalue problem solvers can be increased by setting parameters that are based on rough estimates of the desired eigenvalues.
Yasunori Futamura +2 more
exaly +2 more sources
COMPACTNESS OF A NONLINEAR EIGENVALUE PROBLEM WITH A SINGULAR NONLINEARITY [PDF]
Communications in Contemporary Mathematics, 2008 We study the Dirichlet boundary value problem [Formula: see text] on a bounded domain Ω ⊂ ℝN. For 2 ≤ N ≤ 7, we characterize compactness for solutions sequence in terms of spectral informations. As a by-product, we give an uniqueness result for λ close to 0 and λ* in the class of all solutions with finite Morse index, λ* being the extremal value ...
P. Esposito
semanticscholar +3 more sources
International Journal of Numerical Methods for Heat and Fluid Flow, 2016 Carolina P Naveira-Cotta +2 more
exaly +2 more sources
Photonics, 2023 The paper focuses on the problem of a monochromatic terahertz TE-polarized wave propagation in a plane dielectric layer filled with a homogeneous isotropic medium; one of the boundaries of the waveguide is covered with a layer of graphene.
Y. Smirnov, S. Tikhov
semanticscholar +1 more source
IEEE transactions on microwave theory and techniques, 2021 A novel, general circuit-level description of coupled-resonator microwave filters is introduced in this article. Unlike well-established coupling-matrix models based on frequency-invariant couplings or linear frequency-variant couplings (LFVCs), a model ...
Martyna Mul +3 more
semanticscholar +1 more source