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Image encryption scheme based on thorp shuffle and pseudo dequeue. [PDF]
Geng S, Guo D, Zhang X, Wang Y, Niu Y.
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Harmonic Rayleigh-Ritz for the multiparameter eigenvalue problem
Hochstenbach, M.E., Plestenjak, Bor
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Nonlinear multiparameter eigenvalue problems: Linearised and nonlinearised solutions
Journal of Differential Equations, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V.Yu. Kurseeva +2 more
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Numerical Solution of Multiparameter Eigenvalue Problems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1982AbstractIn this paper we describe an algorithm for the computation of eigenvalue curves and corresponding eigenvectors of multiparameter eigenvalue problems. After input of an algebraic simple eigenvalue with eigenvector we use continuation methods to compute the eigenvalue curve starting from the given eigenvalue.
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Numerical methods for solving multiparameter eigenvalue problems
International Journal of Computer Mathematics, 1999This paper is concerned with the numerical solution of multiparameter eigenvalue problems for matrices which arise in discretization of multiparameter Sturm-Liouville eigenvalue problems in ordinary differential equations. Based on the trace theorem and the differentiability theory of QR decomposition two new algorithms are proposed.
Hua Dai
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Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems
SIAM Journal on Matrix Analysis and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghosh, Arnab, Alam, Rafikul
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Local bifurcation theory for multiparameter nonlinear eigenvalue problems
Nonlinear Analysis: Theory, Methods & Applications, 2002The multiparameter bifurcation problem for \(\lambda=(\lambda_1,\cdots,\lambda_p)\in \mathbb R^p\) given by \[ F(\lambda,x)\equiv Bx-\sum_{i=1}^{p} \lambda_i Ax+N(\lambda,x)=0, \quad N(\lambda,0)=0, \quad D_x N(\lambda,0)=0, \] is considered in real Banach spaces \(X,Y\). In the case that \(\dim N(D_xF(\lambda^0,0))=n\geq 1\) and \(\text{codim}\,R(D_xF(
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Nonlinear multiparameter eigenvalue problems on general level sets
Nonlinear Analysis: Theory, Methods & Applications, 1997The author considers the following nonlinear multiparameter problem \[ u''(x)+ \sum^n_{k=1} \mu_kf_k \bigl(u(x)\bigr) =\lambda g\bigl(u(x) \bigr),\;u(x)>0,\;x\in I=(0,1) \tag{1} \] \[ u(0)= u(1)=0, \] where \(\mu= (\mu_1,\mu_2, \dots, \mu_n) \in \mathbb{R}^n_+\) \((\mathbb{R}_+: =(0, \infty))\), \(\lambda\in \mathbb{R}_+\) are parameters.
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Nonlinear Multiparameter Eigenvalue Problems in Aeroelasticity
International Journal of Structural Stability and Dynamics, 2019In this work, we devise solution algorithms for nonlinear multiparameter eigenvalue problems arising in the analysis of aeroelastic flutter. Two iterative algorithms are devised, as well as a restriction method for simplifying the system behavior away from the desired flutter points. The algorithms are tested on a sectional model and on the Goland wing.
Pons, Arion, Gutschmidt, Stefanie
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