Search results for: Peiyong Zhu

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Zhu</title> <meta name="description" content="Search results for: Peiyong Zhu"> <meta name="keywords" content="Peiyong Zhu"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler ml-auto" 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class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="Peiyong Zhu"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 4</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Peiyong Zhu</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4</span> Strongly Screenableness and its Tychonoff Products</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jianjun%20Wang">Jianjun Wang</a>, <a href="https://publications.waset.org/search?q=Peiyong%20Zhu"> Peiyong Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we prove that if X is regular strongly screenable DC-like (C-scattered), then X ×Y is strongly screenable for every strongly screenable space Y . We also show that the product i∈ω Yi is strongly screenable if every Yi is a regular strongly screenable DC-like space. Finally, we present that the strongly screenableness are poorly behaved with its Tychonoff products.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Topological%20game" title="Topological game">Topological game</a>, <a href="https://publications.waset.org/search?q=strongly%20screenable" title=" strongly screenable"> strongly screenable</a>, <a href="https://publications.waset.org/search?q=scattered" title=" scattered"> scattered</a>, <a href="https://publications.waset.org/search?q=Cscattered." title=" Cscattered."> Cscattered.</a> </p> <a href="https://publications.waset.org/15182/strongly-screenableness-and-its-tychonoff-products" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15182/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15182/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15182/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15182/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15182/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15182/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15182/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15182/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15182/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15182/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15182.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1334</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3</span> Structure of Covering-based Rough Sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Shiping%20Wang">Shiping Wang</a>, <a href="https://publications.waset.org/search?q=Peiyong%20Zhu"> Peiyong Zhu</a>, <a href="https://publications.waset.org/search?q=William%20Zhu"> William Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Rough set theory is a very effective tool to deal with granularity and vagueness in information systems. Covering-based rough set theory is an extension of classical rough set theory. In this paper, firstly we present the characteristics of the reducible element and the minimal description covering-based rough sets through downsets. Then we establish lattices and topological spaces in coveringbased rough sets through down-sets and up-sets. In this way, one can investigate covering-based rough sets from algebraic and topological points of view.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Covering" title="Covering">Covering</a>, <a href="https://publications.waset.org/search?q=poset" title=" poset"> poset</a>, <a href="https://publications.waset.org/search?q=down-set" title=" down-set"> down-set</a>, <a href="https://publications.waset.org/search?q=lattice" title=" lattice"> lattice</a>, <a href="https://publications.waset.org/search?q=topological%20space" title=" topological space"> topological space</a>, <a href="https://publications.waset.org/search?q=topological%20base." title=" topological base."> topological base.</a> </p> <a href="https://publications.waset.org/13163/structure-of-covering-based-rough-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13163/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13163/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13163/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13163/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13163/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13163/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13163/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13163/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13163/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13163/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13163.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1849</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2</span> Dense Chaos in Coupled Map Lattices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Tianxiu%20Lu">Tianxiu Lu</a>, <a href="https://publications.waset.org/search?q=Peiyong%20Zhu"> Peiyong Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper is mainly concerned with a kind of coupled map lattices (CMLs). New definitions of dense δ-chaos and dense chaos (which is a special case of dense δ-chaos with δ = 0) in discrete spatiotemporal systems are given and sufficient conditions for these systems to be densely chaotic or densely δ-chaotic are derived.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Discrete%20spatiotemporal%20systems" title="Discrete spatiotemporal systems">Discrete spatiotemporal systems</a>, <a href="https://publications.waset.org/search?q=coupled%20map%20lattices" title=" coupled map lattices"> coupled map lattices</a>, <a href="https://publications.waset.org/search?q=dense%20%CE%B4-chaos" title=" dense 未-chaos"> dense 未-chaos</a>, <a href="https://publications.waset.org/search?q=Li-Yorke%20pairs." title=" Li-Yorke pairs."> Li-Yorke pairs.</a> </p> <a href="https://publications.waset.org/17059/dense-chaos-in-coupled-map-lattices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17059/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17059/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17059/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17059/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17059/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17059/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/17059/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/17059/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/17059/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/17059/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/17059.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1653</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1</span> Global GMRES with Deflated Restarting for Families of Shifted Linear Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jing%20Meng">Jing Meng</a>, <a href="https://publications.waset.org/search?q=Peiyong%20Zhu"> Peiyong Zhu</a>, <a href="https://publications.waset.org/search?q=Houbiao%20Li"> Houbiao Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Many problems in science and engineering field require the solution of shifted linear systems with multiple right hand sides and multiple shifts. To solve such systems efficiently, the implicitly restarted global GMRES algorithm is extended in this paper. However, the shift invariant property could no longer hold over the augmented global Krylov subspace due to adding the harmonic Ritz matrices. To remedy this situation, we enforce the collinearity condition on the shifted system and propose shift implicitly restarted global GMRES. The new method not only improves the convergence but also has a potential to simultaneously compute approximate solution for the shifted systems using only as many matrix vector multiplications as the solution of the seed system requires. In addition, some numerical experiments also confirm the effectiveness of our method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Shifted%20linear%20systems" title="Shifted linear systems">Shifted linear systems</a>, <a href="https://publications.waset.org/search?q=global%20Krylov%20subspace" title=" global Krylov subspace"> global Krylov subspace</a>, <a href="https://publications.waset.org/search?q=GLGMRESIR" title=" GLGMRESIR"> GLGMRESIR</a>, <a href="https://publications.waset.org/search?q=GLGMRESIRsh" title=" GLGMRESIRsh"> GLGMRESIRsh</a>, <a href="https://publications.waset.org/search?q=harmonic%20Ritz%20matrix" title=" harmonic Ritz matrix"> harmonic Ritz matrix</a>, <a href="https://publications.waset.org/search?q=harmonic%20Ritz%20vector." title=" harmonic Ritz vector."> harmonic Ritz vector.</a> </p> <a href="https://publications.waset.org/10000044/global-gmres-with-deflated-restarting-for-families-of-shifted-linear-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10000044/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10000044/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10000044/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10000044/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10000044/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10000044/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10000044/mla" 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Search results for: Peiyong Zhu