Max Linear Systems Theory And Algorithms PDF Download
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Author | : Peter Butkovič |
Publisher | : Springer Science & Business Media |
Total Pages | : 281 |
Release | : 2010-08-05 |
Genre | : Mathematics |
ISBN | : 1849962995 |
Download Max-linear Systems: Theory and Algorithms Book in PDF, ePub and Kindle
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.
Author | : Peter Butkovi |
Publisher | : |
Total Pages | : 292 |
Release | : 2010-09-13 |
Genre | : |
ISBN | : 9781849963008 |
Download Max-Linear Systems Book in PDF, ePub and Kindle
Author | : Maxim A. Olshanskii |
Publisher | : SIAM |
Total Pages | : 257 |
Release | : 2014-07-21 |
Genre | : Mathematics |
ISBN | : 1611973465 |
Download Iterative Methods for Linear Systems Book in PDF, ePub and Kindle
Iterative Methods for Linear Systems?offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning.??
Author | : Pekka Neittaanmaki |
Publisher | : CRC Press |
Total Pages | : 432 |
Release | : 1994-02-08 |
Genre | : Mathematics |
ISBN | : 9780824790813 |
Download Optimal Control of Nonlinear Parabolic Systems Book in PDF, ePub and Kindle
This book discusses theoretical approaches to the study of optimal control problems governed by non-linear evolutions - including semi-linear equations, variational inequalities and systems with phase transitions. It also provides algorithms for solving non-linear parabolic systems and multiphase Stefan-like systems.
Author | : Peter van Overschee |
Publisher | : Springer Science & Business Media |
Total Pages | : 263 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461304652 |
Download Subspace Identification for Linear Systems Book in PDF, ePub and Kindle
Subspace Identification for Linear Systems focuses on the theory, implementation and applications of subspace identification algorithms for linear time-invariant finite- dimensional dynamical systems. These algorithms allow for a fast, straightforward and accurate determination of linear multivariable models from measured input-output data. The theory of subspace identification algorithms is presented in detail. Several chapters are devoted to deterministic, stochastic and combined deterministic-stochastic subspace identification algorithms. For each case, the geometric properties are stated in a main 'subspace' Theorem. Relations to existing algorithms and literature are explored, as are the interconnections between different subspace algorithms. The subspace identification theory is linked to the theory of frequency weighted model reduction, which leads to new interpretations and insights. The implementation of subspace identification algorithms is discussed in terms of the robust and computationally efficient RQ and singular value decompositions, which are well-established algorithms from numerical linear algebra. The algorithms are implemented in combination with a whole set of classical identification algorithms, processing and validation tools in Xmath's ISID, a commercially available graphical user interface toolbox. The basic subspace algorithms in the book are also implemented in a set of Matlab files accompanying the book. An application of ISID to an industrial glass tube manufacturing process is presented in detail, illustrating the power and user-friendliness of the subspace identification algorithms and of their implementation in ISID. The identified model allows for an optimal control of the process, leading to a significant enhancement of the production quality. The applicability of subspace identification algorithms in industry is further illustrated with the application of the Matlab files to ten practical problems. Since all necessary data and Matlab files are included, the reader can easily step through these applications, and thus get more insight in the algorithms. Subspace Identification for Linear Systems is an important reference for all researchers in system theory, control theory, signal processing, automization, mechatronics, chemical, electrical, mechanical and aeronautical engineering.
Author | : Yousef Saad |
Publisher | : SIAM |
Total Pages | : 537 |
Release | : 2003-04-01 |
Genre | : Mathematics |
ISBN | : 0898715342 |
Download Iterative Methods for Sparse Linear Systems Book in PDF, ePub and Kindle
Mathematics of Computing -- General.
Author | : Panos M. Pardalos |
Publisher | : Springer Science & Business Media |
Total Pages | : 388 |
Release | : 2010-03-14 |
Genre | : Science |
ISBN | : 0387736697 |
Download Optimization and Control of Bilinear Systems Book in PDF, ePub and Kindle
Covers developments in bilinear systems theory Focuses on the control of open physical processes functioning in a non-equilibrium mode Emphasis is on three primary disciplines: modern differential geometry, control of dynamical systems, and optimization theory Includes applications to the fields of quantum and molecular computing, control of physical processes, biophysics, superconducting magnetism, and physical information science
Author | : Jennifer Scott |
Publisher | : Birkhäuser |
Total Pages | : 0 |
Release | : 2023-05-07 |
Genre | : Mathematics |
ISBN | : 9783031258190 |
Download Algorithms for Sparse Linear Systems Book in PDF, ePub and Kindle
Large sparse linear systems of equations are ubiquitous in science, engineering and beyond. This open access monograph focuses on factorization algorithms for solving such systems. It presents classical techniques for complete factorizations that are used in sparse direct methods and discusses the computation of approximate direct and inverse factorizations that are key to constructing general-purpose algebraic preconditioners for iterative solvers. A unified framework is used that emphasizes the underlying sparsity structures and highlights the importance of understanding sparse direct methods when developing algebraic preconditioners. Theoretical results are complemented by sparse matrix algorithm outlines. This monograph is aimed at students of applied mathematics and scientific computing, as well as computational scientists and software developers who are interested in understanding the theory and algorithms needed to tackle sparse systems. It is assumed that the reader has completed a basic course in linear algebra and numerical mathematics.
Author | : Cornelis Roos |
Publisher | : |
Total Pages | : 520 |
Release | : 1997-03-04 |
Genre | : Mathematics |
ISBN | : |
Download Theory and Algorithms for Linear Optimization Book in PDF, ePub and Kindle
The approach to LO in this book is new in many aspects. In particular the IPM based development of duality theory is surprisingly elegant. The algorithmic parts of the book contain a complete discussion of many algorithmic variants, including predictor-corrector methods, partial updating, higher order methods and sensitivity and parametric analysis.
Author | : Endre Pap |
Publisher | : Springer Nature |
Total Pages | : 353 |
Release | : 2021-07-15 |
Genre | : Technology & Engineering |
ISBN | : 3030727114 |
Download Artificial Intelligence: Theory and Applications Book in PDF, ePub and Kindle
This book is an up-to-date collection, in AI and environmental research, related to the project ATLAS. AI is used for gaining an understanding of complex research phenomena in the environmental sciences, encompassing heterogeneous, noisy, inaccurate, uncertain, diverse spatio-temporal data and processes. The first part of the book covers new mathematics in the field of AI: aggregation functions with special classes such as triangular norms and copulas, pseudo-analysis, and the introduction to fuzzy systems and decision making. Generalizations of the Choquet integral with applications in decision making as CPT are presented. The second part of the book is devoted to AI in the geo-referenced air pollutants and meteorological data, image processing, machine learning, neural networks, swarm intelligence, robotics, mental well-being and data entry errors. The book is intended for researchers in AI and experts in environmental sciences as well as for Ph.D. students.