Relevant bibliographies by topics / Eigenvalue separation

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers
  5. Reports

Academic literature on the topic 'Eigenvalue separation'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 February 2022

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Journal articles on the topic "Eigenvalue separation"

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Meirovitch, L. "A Separation Principle for Gyroscopic Conservative Systems." Journal of Vibration and Acoustics 119, no. 1 (1997): 110–19. http://dx.doi.org/10.1115/1.2889678.

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Closed-form solutions to differential eigenvalue problems associated with natural conservative systems, albeit self-adjoint, can be obtained in only a limited number of cases. Approximate solutions generally require spatial discretization, which amounts to approximating the differential eigenvalue problem by an algebraic eigenvalue problem. If the discretization process is carried out by the Rayleigh-Ritz method in conjunction with the variational approach, then the approximate eigenvalues can be characterized by means of the Courant and Fischer maximin theorem and the separation theorem. The
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Bassler, K. E., P. J. Forrester, and N. E. Frankel. "Eigenvalue separation in some random matrix models." Journal of Mathematical Physics 50, no. 3 (2009): 033302. http://dx.doi.org/10.1063/1.3081391.

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Quadrelli, Roberta, Christopher S. Bretherton, and John M. Wallace. "On Sampling Errors in Empirical Orthogonal Functions." Journal of Climate 18, no. 17 (2005): 3704–10. http://dx.doi.org/10.1175/jcli3500.1.

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Abstract A perturbation analysis is carried out to quantify the eigenvector errors due to the mixing with other eigenvectors that occur when empirical orthogonal functions (EOFs) are computed for a finite-size data sample. Explicit forms are provided for the second-order eigenvalue error and first-order eigenvector error. The eigenvector sampling error depends monotonically on the ratio of the lower to the higher eigenvalues that mix. The relationship to the eigenvalue separation criterion of North et al. is discussed. The eigenvector error formula is applied to quantify sampling errors for th
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CHANU, CLAUDIA, and GIOVANNI RASTELLI. "FIXED ENERGY R-SEPARATION FOR SCHRÖDINGER EQUATION." International Journal of Geometric Methods in Modern Physics 03, no. 03 (2006): 489–508. http://dx.doi.org/10.1142/s021988780600120x.

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We extend the classical approach of the R-separation of the Laplace equation Δψ = 0 (as a null eigenvalue problem) to the general steady state Schrödinger equation including cases where a scalar potential V is present and the energy is a fixed constant.
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KITADA, Takanori, and Toshikazu TAKEDA. "Evaluation of Eigenvalue Separation by the Monte Carlo Method." Journal of Nuclear Science and Technology 39, no. 2 (2002): 129–37. http://dx.doi.org/10.1080/18811248.2002.9715166.

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Hews, Joshua, and Leo Livshits. "Groups of Matrices That Act Monopotently." Electronic Journal of Linear Algebra 32 (February 6, 2017): 423–37. http://dx.doi.org/10.13001/1081-3810.3479.

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In the present article, the authors continue the line of inquiry started by Cigler and Jerman, who studied the separation of eigenvalues of a matrix under an action of a matrix group. The authors consider groups \Fam{G} of matrices of the form $\left[\small{\begin{smallmatrix} G & 0\\ 0& z \end{smallmatrix}}\right]$, where $z$ is a complex number, and the matrices $G$ form an irreducible subgroup of $\GL(\C)$. When \Fam{G} is not essentially finite, the authors prove that for each invertible $A$ the set $\Fam{G}A$ contains a matrix with more than one eigenvalue. The authors also consid
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Lin, Kai, Wei-Liang Qian, Alan B. Pavan, and Elcio Abdalla. "A matrix method for quasinormal modes: Kerr and Kerr–Sen black holes." Modern Physics Letters A 32, no. 25 (2017): 1750134. http://dx.doi.org/10.1142/s0217732317501346.

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In this paper, a matrix method is employed to study the scalar quasinormal modes of Kerr as well as Kerr–Sen black holes. Discretization is applied to transfer the scalar perturbation equation into a matrix form eigenvalue problem, where the resulting radial and angular equations are derived by the method of separation of variables. The eigenvalues, quasinormal frequencies [Formula: see text] and angular quantum numbers [Formula: see text], are then obtained by numerically solving the resultant homogeneous matrix equation. This work shows that the present approach is an accurate, as well as ef
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Fernández, Francisco M., and R. H. Tipping. "The Riccati–Padé quantization method for one-dimensional quantum-mechanical models." Canadian Journal of Physics 74, no. 9-10 (1996): 697–700. http://dx.doi.org/10.1139/p96-100.

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We improve on a previously developed method for the calculation of accurate eigenvalues and eigenfunctions of separable models in quantum mechanics. It consists of the approximation of the logarithmic derivative of the eigenfunction by means of a rational function or Padé approximant. Here we modify the approach by the separation of the function just mentioned into its odd and even parts, thus making the procedure more efficient for treating asymmetric one-dimensional potentials. We obtain the ground-state eigenvalue of anharmonic oscillators with one and two wells and the lowest resonances of
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Redif, S. "Convolutive blind signal separation via polynomial matrix generalised eigenvalue decomposition." Electronics Letters 53, no. 2 (2017): 87–89. http://dx.doi.org/10.1049/el.2016.3200.

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Ishitani, Kazuki, Yoshihiro Yamane, Akira Uritani, Testuo Iguchi, and Seiji Shiroya. "Measurement of eigenvalue separation by using position sensitive proportional counter." Annals of Nuclear Energy 25, no. 10 (1998): 721–32. http://dx.doi.org/10.1016/s0306-4549(97)00042-x.

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Dissertations / Theses on the topic "Eigenvalue separation"

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Hàn, Hiêp. "Extremal hypergraph theory and algorithmic regularity lemma for sparse graphs." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2011. http://dx.doi.org/10.18452/16402.

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Einst als Hilfssatz für Szemerédis Theorem entwickelt, hat sich das Regularitätslemma in den vergangenen drei Jahrzehnten als eines der wichtigsten Werkzeuge der Graphentheorie etabliert. Im Wesentlichen hat das Lemma zum Inhalt, dass dichte Graphen durch eine konstante Anzahl quasizufälliger, bipartiter Graphen approximiert werden können, wodurch zwischen deterministischen und zufälligen Graphen eine Brücke geschlagen wird. Da letztere viel einfacher zu handhaben sind, stellt diese Verbindung oftmals eine wertvolle Zusatzinformation dar. Vom Regularitätslemma ausgehend gliedert sich
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Martínez, Barona Berenice. "(1, ≤ ℓ)-identifying codes in digraphs and graphs". Doctoral thesis, Universitat Politècnica de Catalunya, 2020. http://hdl.handle.net/10803/669726.

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The main subject of this PhD thesis is the study of (1,=l)-identifying codes in digraphs. The results presented in this work are divided into three parts. The first one focusses on the structural properties of digraphs admitting a (1,=l)-identifying code for l=2. In the second part, we deal with the study of (1,=l)-identifying codes in line digraphs. Finally, in the third part we approach the problem from an algebraic perspective.A (1,=l)-identifying code in a digraph D is a dominating subset C of vertices of D such that all distinct subsets of vertices of cardinality at most l have distinct c
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Book chapters on the topic "Eigenvalue separation"

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Luciani, Xavier, and Laurent Albera. "Joint Eigenvalue Decomposition Using Polar Matrix Factorization." In Latent Variable Analysis and Signal Separation. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15995-4_69.

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Usevich, Konstantin, Souleymen Sahnoun, and Pierre Comon. "High-Resolution Subspace-Based Methods: Eigenvalue- or Eigenvector-Based Estimation?" In Latent Variable Analysis and Signal Separation. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53547-0_5.

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Pérez-Iglesias, Héctor J., Daniel Iglesia, Adriana Dapena, and Vicente Zarzoso. "Blind Channel Identification in (2 ×1) Alamouti Coded Systems Based on Maximizing the Eigenvalue Spread of Cumulant Matrices." In Independent Component Analysis and Signal Separation. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00599-2_87.

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Liu, Hailin, and Yiuming Cheung. "A Learning Framework for Blind Source Separation Using Generalized Eigenvalues." In Advances in Neural Networks – ISNN 2005. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11427445_77.

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Conference papers on the topic "Eigenvalue separation"

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Aoufi, Tarik, M'hamed Bakrim, and Driss Aboutajdine. "Blind Separation of Cyclo-stationary Signals using Generalized Eigenvalue Approach." In 2007 14th IEEE International Conference on Electronics, Circuits and Systems (ICECS '07). IEEE, 2007. http://dx.doi.org/10.1109/icecs.2007.4511085.

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Lee, Heewook. "Influence of In-Plane Modes of a Rotor to Brake Noise." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62324.

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In the effort of improving brake noise, recent studies showed increasing encounters with in-plane modes of a rotor for a root cause of a brake noise. Although studies about in-plane modes of a rotor or a disc have been done a lot, a study about the influence of in-plane modes to brake noise has rarely been done. This paper explored the relationship between unstable eigenvalues and rotor mode shapes, focusing on explaining why unstable eigenvalue excited by in-plane modes behaved differently from one caused by out-of-plane modes. Complex eigenvalue analysis was used to assess the instability of
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Al-Jazzar, S. O. "Angle of arrival estimation using eigenvalue decomposition for high resolution at small angular separation." In IET International Communication Conference on Wireless Mobile & Computing (CCWMC 2009). IET, 2009. http://dx.doi.org/10.1049/cp.2009.1994.

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Xing, Xing, and Brian F. Feeny. "Complex Modal Analysis of a Non-Modally Damped Continuous Beam." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12078.

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This work represents an investigation of the complex modes of continuous vibration systems with nonmodal damping. As an example, a cantilevered beam with damping at the free end is studied. Traditional separation of variables for this problem leads to a differential eigenvalue problem which requires a numerical solution. In this paper, assumed modes are applied to discretize the eigenvalue problem in state-variable form, to then obtain estimates of the frequencies and modes. The finite-element method (FEM) is also utilized to get the mass, stiffness, and damping matrices and further to solve a
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Pontes, Péricles C., Anderson P. Almeida, Carolina Palma Naveira-Cotta, and Renato M. Cotta. "NONLINEAR EIGENVALUE PROBLEM APPROACH IN THE INTEGRAL TRANSFORMS ANALYSIS OF METAL SEPARATION BY POLYMERIC DIFFUSIVE MEMBRANES." In ICHMT International Symposium on Advances in Computational Heat Transfer. Begellhouse, 2017. http://dx.doi.org/10.1615/ichmt.2017.1390.

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Pontes, Péricles C., Anderson P. Almeida, Carolina Palma Naveira-Cotta, and Renato M. Cotta. "NONLINEAR EIGENVALUE PROBLEM APPROACH IN THE INTEGRAL TRANSFORMS ANALYSIS OF METAL SEPARATION BY POLYMERIC DIFFUSIVE MEMBRANES." In ICHMT International Symposium on Advances in Computational Heat Transfer. Begellhouse, 2017. http://dx.doi.org/10.1615/ichmt.2017.650.

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Pontes, Péricles C., Anderson P. Almeida, Carolina Palma Naveira-Cotta, and Renato M. Cotta. "NONLINEAR EIGENVALUE PROBLEM APPROACH IN THE INTEGRAL TRANSFORMS ANALYSIS OF METAL SEPARATION BY POLYMERIC DIFFUSIVE MEMBRANES." In ICHMT International Symposium on Advances in Computational Heat Transfer. Begellhouse, 2017. http://dx.doi.org/10.1615/ichmt.2017.cht-7.1390.

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Pontes, Péricles C., Anderson P. Almeida, Carolina Palma Naveira-Cotta, and Renato M. Cotta. "NONLINEAR EIGENVALUE PROBLEM APPROACH IN THE INTEGRAL TRANSFORMS ANALYSIS OF METAL SEPARATION BY POLYMERIC DIFFUSIVE MEMBRANES." In ICHMT International Symposium on Advances in Computational Heat Transfer. Begellhouse, 2017. http://dx.doi.org/10.1615/ichmt.2017.cht-7.650.

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Xie, Zhe, Yangwei Liu, Xiaohua Liu, Lipeng Lu, and Xiaofeng Sun. "Effect of RANS Method on Stall Inception Eigenvalue Approach." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64708.

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The effect of mesh, turbulence model and discretization scheme in Reynolds-averaged Navier-Stokes method (RANS) on a stall inception eigenvalue approach is investigated in a transonic compressor rotor. The most influencing flow structures on the result of eigenvalue approach are also identified. The compressor stall point is calculated by a recently developed eigenvalue model. Based on the 3D Navier-Stokes equations, the body-force term and small disturbance were used to transform the original equations into the eigenvalue approach. Because the eigenvalue mainly relies on the results from RANS
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Chung, Moon-Sun, Youn-Gyu Jung, and Sung-Jae Yi. "On the Analysis of Two-Phase Channel Flow With Flow Regime Transitions for Energy System." In ASME 2011 5th International Conference on Energy Sustainability. ASMEDC, 2011. http://dx.doi.org/10.1115/es2011-54133.

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Numerical test and eigenvalue analysis for a two-phase channel flows for energy conversion systems like fuel cells or water electrolysers with flow regime transitions are performed by using the well-posed system of equation that takes into account the pressure jump at the phasic interface. The interfacial pressure jump terms derived from the definition of surface tension which is based on the surface physics make the conventional two-fluid model hyperbolic without any additive terms, i.e., virtual mass or artificial viscosity terms. The four-equation system has three sets of eigenvalues; each
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Reports on the topic "Eigenvalue separation"

1

Parlett, Beresford, and Tzon-Tzer Lu. Minimum Eigenvalue Separation. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada256570.

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