Max-linear Systems: Theory and Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 1849962995
Total Pages : 281 pages
Book Rating : 4.95/5 ( download)

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Book Synopsis Max-linear Systems: Theory and Algorithms by : Peter Butkovič

Download or read book Max-linear Systems: Theory and Algorithms written by Peter Butkovič and published by Springer Science & Business Media. This book was released on 2010-08-05 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen a significant rise of interest in max-linear theory and techniques. Specialised international conferences and seminars or special sessions devoted to max-algebra have been organised. This book aims to provide a first detailed and self-contained account of linear-algebraic aspects of max-algebra for general (that is both irreducible and reducible) matrices. Among the main features of the book is the presentation of the fundamental max-algebraic theory (Chapters 1-4), often scattered in research articles, reports and theses, in one place in a comprehensive and unified form. This presentation is made with all proofs and in full generality (that is for both irreducible and reducible matrices). Another feature is the presence of advanced material (Chapters 5-10), most of which has not appeared in a book before and in many cases has not been published at all. Intended for a wide-ranging readership, this book will be useful for anyone with basic mathematical knowledge (including undergraduate students) who wish to learn fundamental max-algebraic ideas and techniques. It will also be useful for researchers working in tropical geometry or idempotent analysis.

Max-Linear Systems

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Publisher :
ISBN 13 : 9781849963008
Total Pages : 292 pages
Book Rating : 4.02/5 ( download)

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Book Synopsis Max-Linear Systems by : Peter Butkovi

Download or read book Max-Linear Systems written by Peter Butkovi and published by . This book was released on 2010-09-13 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integrality in Max-linear Systems

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.18/5 ( download)

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Book Synopsis Integrality in Max-linear Systems by : Marie MacCaig

Download or read book Integrality in Max-linear Systems written by Marie MacCaig and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control and State Estimation for Max-Plus Linear Systems

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Publisher : Foundations and Trends (R) in Systems and Control
ISBN 13 : 9781680835441
Total Pages : 134 pages
Book Rating : 4.40/5 ( download)

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Book Synopsis Control and State Estimation for Max-Plus Linear Systems by : Laurent Hardouin

Download or read book Control and State Estimation for Max-Plus Linear Systems written by Laurent Hardouin and published by Foundations and Trends (R) in Systems and Control. This book was released on 2018-12-24 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max-plus linear systems theory was inspired by and originated from classical linear systems theory more than three decades ago, with the purpose of dealing with nonlinear synchronization and delay phenomena in timed discrete event systems in a linear manner. Timed discrete event systems describe many problems in diverse areas such as manufacturing, communication, or transportation networks. This monograph provides a thorough survey of current research work in max-plus linear systems. It summarizes the main mathematical concepts required for a theory of max-plus linear systems, including idempotent semirings, residuation theory, fixed point equations in the max-plus algebra, formal power series, and timed-event graphs. The authors also review some recent major achievements in control and state estimation of max-plus linear systems. These include max-plus observer design, max-plus model matching by output or state feedback and observer-based control synthesis. Control and State Estimation for Max-Plus Linear Systems offers students, practitioners, and researchers an accessible and comprehensive overview of the most important recent work in max-plus Linear Systems.

Max-Plus Linear Stochastic Systems and Perturbation Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387389954
Total Pages : 324 pages
Book Rating : 4.50/5 ( download)

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Book Synopsis Max-Plus Linear Stochastic Systems and Perturbation Analysis by : Bernd F. Heidergott

Download or read book Max-Plus Linear Stochastic Systems and Perturbation Analysis written by Bernd F. Heidergott and published by Springer Science & Business Media. This book was released on 2006-12-26 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough review and explanation of the theory of stochastic max-plus linear systems, which has seen rapid advances in the last decade. The coverage includes modeling issues and stability theory for stochastic max-plus systems, perturbation analysis of max-plus systems, developing a calculus for differentiation of max-plus systems. This leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times.

Computer Solution of Large Linear Systems

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Publisher : Elsevier
ISBN 13 : 0080529518
Total Pages : 777 pages
Book Rating : 4.16/5 ( download)

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Book Synopsis Computer Solution of Large Linear Systems by : Gerard Meurant

Download or read book Computer Solution of Large Linear Systems written by Gerard Meurant and published by Elsevier. This book was released on 1999-06-16 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.

A Linear System of Both Equations and Inequalities in Max-Algebra

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.03/5 ( download)

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Book Synopsis A Linear System of Both Equations and Inequalities in Max-Algebra by : Abdulhadi Aminu

Download or read book A Linear System of Both Equations and Inequalities in Max-Algebra written by Abdulhadi Aminu and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A Linear System of Both Equations and Inequalities in Max-Algebra.

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

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Publisher : CRC Press
ISBN 13 : 1498764177
Total Pages : 375 pages
Book Rating : 4.79/5 ( download)

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Book Synopsis Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications by : Daniele Bertaccini

Download or read book Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications written by Daniele Bertaccini and published by CRC Press. This book was released on 2018-02-19 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.

Iterative Methods for Sparse Linear Systems

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Publisher : SIAM
ISBN 13 : 0898715342
Total Pages : 537 pages
Book Rating : 4.47/5 ( download)

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Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Linear Algebra

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Publisher : BoD – Books on Demand
ISBN 13 : 9535106694
Total Pages : 265 pages
Book Rating : 4.92/5 ( download)

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Book Synopsis Linear Algebra by : Hassan Yasser

Download or read book Linear Algebra written by Hassan Yasser and published by BoD – Books on Demand. This book was released on 2012-07-11 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra occupies a central place in modern mathematics. Also, it is a beautiful and mature field of mathematics, and mathematicians have developed highly effective methods for solving its problems. It is a subject well worth studying for its own sake. This book contains selected topics in linear algebra, which represent the recent contributions in the most famous and widely problems. It includes a wide range of theorems and applications in different branches of linear algebra, such as linear systems, matrices, operators, inequalities, etc. It continues to be a definitive resource for researchers, scientists and graduate students.