Download or read book The Joint Spectral Radius written by Raphaël Jungers and published by Springer Science & Business Media. This book was released on 2009-05-19 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on the Ph.D. Thesis of the author [58]. Its goal is twofold: First, it presents most researchwork that has been done during his Ph.D., or at least the part of the work that is related with the joint spectral radius. This work was concerned with theoretical developments (part I) as well as the study of some applications (part II). As a second goal, it was the author’s feeling that a survey on the state of the art on the joint spectral radius was really missing in the literature, so that the ?rst two chapters of part I present such a survey. The other chapters mainly report personal research, except Chapter 5 which presents animportantapplicationofthejointspectralradius:thecontinuityofwavelet functions. The ?rst part of this monograph is dedicated to theoretical results. The ?rst two chapters present the above mentioned survey on the joint spectral radius. Its minimum-growth counterpart, the joint spectral subradius, is also considered. The next two chapters point out two speci?c theoretical topics, that are important in practical applications: the particular case of nonne- tive matrices, and the Finiteness Property. The second part considers applications involving the joint spectral radius.
Download or read book Special Issue on the Joint Spectral Radius written by and published by . This book was released on 2008 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Joint Spectral Radius written by Xinlong Zhou and published by . This book was released on 2000 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A New Strategy for Exact Determination of the Joint Spectral Radius written by Claudia Möller and published by . This book was released on 2015 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Estimates for the joint spectral radius written by Xinlong Zhou and published by . This book was released on 1999 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms for the Computation of the Joint Spectral Radius written by Cristina Vagnoni and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Joint Spectral Radius of 2 X 2 mattrices with Equal Spectral Radius written by Bernhard Mößner and published by . This book was released on 2008 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fast and Precise Approximations of the Joint Spectral Radius written by Vincent D. Blondel and published by . This book was released on 2003 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Numerical Calculation of the Joint Spectral Radius for Sets of Matrices written by Yiwen Duan and published by . This book was released on 1998 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Characterization of Joint Spectral Radius Via Trace written by Quande Chen and published by . This book was released on 1998 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis and Design of Univariate Subdivision Schemes written by Malcolm Sabin and published by Springer Science & Business Media. This book was released on 2010-08-16 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘Subdivision’ is a way of representing smooth shapes in a computer. A curve or surface (both of which contain an in?nite number of points) is described in terms of two objects. One object is a sequence of vertices, which we visualise as a polygon, for curves, or a network of vertices, which we visualise by drawing the edges or faces of the network, for surfaces. The other object is a set of rules for making denser sequences or networks. When applied repeatedly, the denser and denser sequences are claimed to converge to a limit, which is the curve or surface that we want to represent. This book focusses on curves, because the theory for that is complete enough that a book claiming that our understanding is complete is exactly what is needed to stimulate research proving that claim wrong. Also because there are already a number of good books on subdivision surfaces. The way in which the limit curve relates to the polygon, and a lot of interesting properties of the limit curve, depend on the set of rules, and this book is about how one can deduce those properties from the set of rules, and how one can then use that understanding to construct rules which give the properties that one wants.
Download or read book The Dynamics of Control written by Fritz Colonius and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.
Download or read book Fast and Precise Approximations of the Joint Spectral Radius written by Vincent Blondel and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce a procedure for approximating the joint spectral radius of a finite set of matrices with arbitrary precision. Our approximation procedure is based on semidefinite liftings and can be implemented in a recursive way. For two matrices even the first step of the procedure gives an approximation, whose relative quality is at least 1/√2, that is, more than 70%. The subsequent steps improve the quality but also increase the dimension of the auxiliary problem from which this approximation can be found. In an improved version of our approximation procedure we show how a relative quality of (1/√2(1/k)) can be obtained by evaluating the spectral radius of a single matrix of dimension nk nk+1)/2 where n is the dimension of the initial matrices. This result is computationally optimal in the sense that it provides an approximation of relative quality 1-[epsilon] in time polynomial in n(1/[epsilon]) and it is known that, unless P = NP, no such algorithm is possible that runs in time polynomial in n and 1/[epsilon]. For the special case of matrices with non-negative entries we prove that... where A(*k) denotes the kth Kroneckerp owerof A. An approximation of relative quality (1/2)(1/k) can therefore be obtained by computing the spectral radius of a single matrix of dimension n(k). From these inequalities it also follows that the spectral radius is given by the simple expression... where it is somewhat surprising to notice that the right hand side does not directly involve any mixed products between the matrices A1 and A2.
Download or read book Polynomial time Computation of the Joint Spectral Radius for Some Sets of Nonnegative Matrices written by Vincent D. Blondel and published by . This book was released on 2008 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hybrid Systems Computation and Control written by Rajeev Alur and published by Springer Science & Business Media. This book was released on 2004-03-12 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Workshop on Hybrid Systems: Computation and Control, HSCC 2004, held in Philadelphia, PA, USA, in March 2004. The 43 revised full papers presented together with an invited article were carefully reviewed and selected from 117 submissions. The papers address all current issues in hybrid systems such as tools for analysis and verification, control and optimization, modeling and engineering applications, and emerging topics in programming language support and implementation; a special focus is on the interplay between biomolecular networks, systems biology, formal methods, and control of hybrid systems.
Download or read book Hybrid Systems Computation and Control written by Alberto Bemporad and published by Springer Science & Business Media. This book was released on 2007-03-20 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007, held in Pisa, Italy in April 2007. The 44 revised full papers and 39 revised short papers presented together with the abstracts of 3 keynote talks were carefully reviewed and selected from 167 submissions. Among the topics addressed are models of heterogeneous systems, computability and complexity issues, real-time computing and control, embedded and resource-aware control, control and estimation over wireless networks, tools for analysis, verification, control, and design, programming languages support and implementation, applications, including automotive, communication networks, avionics, energy systems, transportation networks, biology and other sciences, manufacturing, and robotics.
Download or read book Gian Carlo Rota on Analysis and Probability written by Jean Dhombres and published by Springer Science & Business Media. This book was released on 2002-12-06 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa per "Extension theory of differential operators I", the first paper reprinted in this volume. Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. In the 1960's, Rota was motivated by problems in fluctuation theory to study some operator identities of Glen Baxter (see [7]). Together with other problems in probability theory, this led Rota to study combinatorics. His series of papers, "On the foundations of combi natorial theory", led to a fundamental re-evaluation of the subject. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics. This was his intention all along, and his early death robbed mathematics of his unique perspective on linkages between the discrete and the continuous. Glimpses of his new research programs can be found in [2,3,6,9,10].
