Relevant bibliographies by topics / Spectral polytopes

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Spectral polytopes'

Author: Grafiati
Published: 30 June 2021
Last updated: 29 July 2025

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Journal articles on the topic "Spectral polytopes"

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Greenfeld, Rachel, and Nir Lev. "Fuglede’s spectral set conjecture for convex polytopes." Analysis & PDE 10, no. 6 (2017): 1497–538. http://dx.doi.org/10.2140/apde.2017.10.1497.

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KIRAT, IBRAHIM, and ILKER KOCYIGIT. "REMARKS ON SELF-AFFINE FRACTALS WITH POLYTOPE CONVEX HULLS." Fractals 18, no. 04 (2010): 483–98. http://dx.doi.org/10.1142/s0218348x1000510x.

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Suppose that the set [Formula: see text] of real n × n matrices has joint spectral radius less than 1. Then for any digit set D = {d1, …, dq} ⊂ ℝn, there exists a unique non-empty compact set [Formula: see text] satisfying [Formula: see text], which is typically a fractal set. We use the infinite digit expansions of the points of F to give simple necessary and sufficient conditions for the convex hull of F to be a polytope. Additionally, we present a technique to determine the vertices of such polytopes. These answer some of the related questions of Strichartz and Wang, and also enable us to a
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Saldanha, Nicolau C., and Carlos Tomei. "Spectra of regular polytopes." Discrete & Computational Geometry 7, no. 4 (1992): 403–14. http://dx.doi.org/10.1007/bf02187851.

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Saldanha, Nicolau C., and Carlos Tomei. "Spectra of semi-regular polytopes." Boletim da Sociedade Brasileira de Matem�tica 29, no. 1 (1998): 25–51. http://dx.doi.org/10.1007/bf01245867.

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Douai, Antoine. "Global spectra, polytopes and stacky invariants." Mathematische Zeitschrift 288, no. 3-4 (2017): 889–913. http://dx.doi.org/10.1007/s00209-017-1918-8.

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Jungers, Raphaël M., Antonio Cicone, and Nicola Guglielmi. "Lifted Polytope Methods for Computing the Joint Spectral Radius." SIAM Journal on Matrix Analysis and Applications 35, no. 2 (2014): 391–410. http://dx.doi.org/10.1137/130907811.

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Queiró, João Filipe, and Ana Paula Santana. "The inverse Horn problem." Electronic Journal of Linear Algebra 39 (March 1, 2023): 90–93. http://dx.doi.org/10.13001/ela.2023.7539.

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Alfred Horn's conjecture on eigenvalues of sums of Hermitian matrices was proved more than 20 years ago. In this note, the problem is raised of, given an $n$-tuple $\gamma$ in the solution polytope, constructing Hermitian matrices with the required spectra such that their sum has eigenvalues $\gamma$.
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Paluri, Nataraj S. V., and Jayesh J. Barve. "A Reliable Algorithm to Compute the Spectral Set of a Polytope of Polynomials to Prescribed Accuracy." Journal of Dynamic Systems, Measurement, and Control 128, no. 2 (2005): 400–405. http://dx.doi.org/10.1115/1.2196416.

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We propose an algorithm to compute the spectral set of a polytope of polynomials. The proposed algorithm offers several key guarantees that are not available with existing techniques. It guarantees that the generated spectral set: (i) contains all the actual points, (ii) is computed to a prescribed accuracy, (iii) is computed reliably in face of all kinds of computational errors, and (iv) is computed in a finite number of algorithmic iterations. A further merit is that the computational complexity of the proposed algorithm is O(n) in contrast to O(n2) for existing techniques, where n is the de
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Samaresh, Ghosh. "Studies on the complexation behaviour of copper(II) ions with polyamidoamine (PAMAM) dendron." Journal Of Indian Chemical Society Vol. 84, Jan 2007 (2007): 93–95. https://doi.org/10.5281/zenodo.5811795.

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Department of Chemistry, Bankura Sammilani College, Bankura-722 102, West Bengal, India <em>E-mail </em>: gsamaresh@yahoo.com <em>Manuscript received 17 October 2006, accepted 27 October 2006</em> Spectral and electrochemical studies have been carried out for the investigation of the complexation behaviour of polytopic dendritic ligand (PAMAM) towards Cu<sup>II</sup> ion. Formation of the complex was clear from the UV-Vis <em>d</em>-<em>d</em> trasition band. Cyclic voltammetric study of the dendron-Cu<sup>II</sup> complex revealed chemically irreversible behaviour.
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Cerone, V. "A fast technique for the generation of the spectral set of a polytope of polynomials." Automatica 33, no. 2 (1997): 277–80. http://dx.doi.org/10.1016/s0005-1098(96)00196-3.

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Dissertations / Theses on the topic "Spectral polytopes"

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Vagnoni, Cristina. "Algorithms for the computation of the joint spectral radius." Doctoral thesis, Università degli studi di Padova, 2008. http://hdl.handle.net/11577/3425106.

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The asymptotic behaviour of the solutions of a discrete linear dynamical system is related to the spectral radius R of its associated family F. In particular, a system is stable if R <= 1 and there exists an extremal norm for the family F. This kind of systems is important for a large number of applications. In particular, we mention the stability analysis of numerical methods for ordinary differential equations. In the last decades some algorithms have been proposed in order to find real extremal norms of polytope type in the case of finite families (see for example [BT79] and [GZ05]). Howe
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Winter, Martin [Verfasser], Christoph [Akademischer Betreuer] Helmberg, Christoph [Gutachter] Helmberg, Michael [Gutachter] Joswig, and Egon [Gutachter] Schulte. "Spectral Realizations of Symmetric Graphs, Spectral Polytopes and Edge-Transitivity / Martin Winter ; Gutachter: Christoph Helmberg, Michael Joswig, Egon Schulte ; Betreuer: Christoph Helmberg." Chemnitz : Technische Universität Chemnitz, 2021. http://d-nb.info/1236341031/34.

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Nicolis, Stamatios. "Étude des défauts topologiques dans des structures atomiques désordonnées : influence sur le spectre d'excitations." Paris 11, 1988. http://www.theses.fr/1988PA112045.

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Les verres métalliques peuvent être considérés, dans une bonne approximation, comme des empilements aléatoires de sphères interagissant avec de simples potentiels de paires. C'est raisonnable, d'un point de vue géométrique, puisque l'unité de l'empilement compact à trois dimensions, le tétraèdre, ne remplit pas l'espace euclidien. Il pave un espace courbe, la 3-sphère. La configuration ainsi définie, un polytope, possède un ordre icosaédrique parfait. Dans cette thèse on introduit des défauts dans cette structure pour réduire la courbure à zéro et interpoler ainsi entre la 3-sphère et l'espace
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Winter, Martin. "Spectral Realizations of Symmetric Graphs, Spectral Polytopes and Edge-Transitivity." 2021. https://monarch.qucosa.de/id/qucosa%3A75215.

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A spectral graph realization is an embedding of a finite simple graph into Euclidean space that is constructed from the eigenvalues and eigenvectors of the graph's adjacency matrix. It has previously been observed that some polytopes can be reconstructed from their edge-graphs by taking the convex hull of a spectral realization of this edge-graph. These polytopes, which we shall call spectral polytopes, have remarkable rigidity and symmetry properties and are a source for many open questions. In this thesis we aim to further the understanding of this phenomenon by exploring the geometric and
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VU, NGOC San. "Systèmes intégrables semi-classiques: du local au global." Habilitation à diriger des recherches, 2003. http://tel.archives-ouvertes.fr/tel-00007113.

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Ce mémoire a pour but de présenter un panorama des recherches que j'ai effectuées depuis la soutenance de ma thèse en 1998. J'en ai également profité pour réordonner mes résultats et émailler le texte de réflexions parfois nouvelles afin de tenter de combiner l'introduction au sujet avec la synthèse de mes recherches. Il sera question de systèmes hamiltoniens complètement intégrables, de leur étude locale, de leurs singularités, de leurs aspects globaux et de certains liens qu'il entretiennent avec les variétés toriques, tout ceci du point de vue de la mécanique classique ainsi que de celui de
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Conference papers on the topic "Spectral polytopes"

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Nechita, Stefan-Cristian, Codrin Alexandru Lupascu, and Octavian Pastravanu. "On Spectrum Location of Discrete-Time Systems with Polytopic Uncertainties." In 2017 21st International Conference on Control Systems and Computer Science (CSCS). IEEE, 2017. http://dx.doi.org/10.1109/cscs.2017.14.

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Türkay, Semiha, and Aslı S. Leblebici. "Vibration Control of a Rigid and Flexible High-Speed Railway Vehicle." In 2020 Joint Rail Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/jrc2020-8096.

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Abstract In this paper, the vertical carbody dynamics of the railway vehicle excited by random track inputs are investigated. The multi-objective ℋ∞ controllers for carbody weight of the actual, heavy and a mass confined in a polytopic range have been designed with the aim of reducing the wheel forces, heave, pitch and roll body accelerations of the vehicle. Later, the carbody mass is modelled as a free-free Euler Bernoulli beam and the low frequency flexural vibrations of the train body are examined. An omnibus ℋ∞ controller is synthesized to suppress both the rigid and low frequencies flexib
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Pastravanu, Octavian, and Mihaela-Hanako Matcovschi. "On a conjecture in stability analysis of polytopic systems — Mimicking spectral radius properties from real to complex matrices." In 2014 18th International Conference on System Theory, Control and Computing (ICSTCC). IEEE, 2014. http://dx.doi.org/10.1109/icstcc.2014.6982381.

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You might also be interested in the extended bibliographies on the topic 'Spectral polytopes' for particular source types:
Journal articles
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