WAMIQ MANZOOR AHMED∗, MUHAMMAD NAEEM AYYAZ∗, BARTEK RAJWA†, FARRUKH KHAN‡, ARIF GHAFOOR∗ and J. PAUL ROBINSON†,§ ∗School of Electrical and Computer Engineering, Purdue University, 465 Northwestern Avenue, West Lafayette, IN 47907, USA [email protected] †Bindley Bioscience Center, Purdue University, 1203 West State Street, West Lafayette, IN 47907, USA ‡ Department of Computer Science, Texa...

References html#ref-list-1 http://rspa.royalsocietypublishing.org/content/465/2105/1539.full. This article cites 15 articles, 1 of which can be accessed free Subject collections (59 articles) applied mathematics • Articles on similar topics can be found in the following collections Email alerting service here the box at the top right-hand corner of the article or click Receive free email alert...

Célia Talma Martins, Américo Azevedo, H. Sofia Pinto, Eugénio Oliveira 1LIACC-NIAD&R, Faculty of Engineering, University of Porto R. Dr. Roberto Frias, 4200-465 Porto, Portugal 2ISCAP, Rua Jaime Lopes Amorim, s/n, 4465-004 S. Mamede de Infesta Faculty of Engineering, University of Porto INESC Porto, Portugal 5INESC-ID/IST, Rua ALves Redol, 9, 1000-029 Lisboa [email protected]; [email protected]; sofia@...

We show that any admissible cycle-convergence behavior is possible for restarted GMRES at a number of initial cycles, moreover the spectrum of the coefficient matrix alone does not determine this cycleconvergence. The latter can be viewed as an extension of the result of Greenbaum, Pták and Strakoš (SIAM Journal on Matrix Analysis and Applications 1996; 17(3):465–469) to the case of restarted G...

José A. Tenreiro Machado 1,† and António Mendes Lopes 2,*,† 1 Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida 431, 4249-015 Porto, Portugal; [email protected] 2 UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal * Correspondence: [email protected]; Tel.: +351-913-499...

K. Kitazato1,2, B.E. Clark3, M. Abe2, S. Abe4, Y. Takagi5, and T. Hiroi6, 1Department of Earth and Planetary Science, The University of Tokyo, Bunkyo-ku, Tokyo 113-0033, JAPAN, [email protected], 2Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, Sagamihara, Kanagawa 229-8510, JAPAN, 3Physics Department, Ithaca College, Ithaca, NY 14850, USA, 4Dep...

The energy of G, denoted by E(G), is defined as the sum of the absolute values of the eigenvalues of G. In this paper, the trees with a given diameter having the minimal energy are determined by three specific tree operations; using this method, together with previous work, a conjecture proposed by B. Zhou and F. Li [J. Math. Chem., 39:465–473, 2006] is completely solved.