Nonhomogeneous Matrix Products

Nonhomogeneous Matrix Products

Author: D. J. Hartfiel

Publisher: World Scientific

Published: 2002

Total Pages: 236

ISBN-13: 9812810056

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Infinite products of matrices are used in nonhomogeneous Markov chains, Markov set-chains, demographics, probabilistic automata, production and manpower systems, tomography, and fractals. More recent results have been obtained in computer design of curves and surfaces. This book puts together much of the basic work on infinite products of matrices, providing a primary source for such work. This will eliminate the rediscovery of known results in the area, and thus save considerable time for researchers who work with infinite products of matrices. In addition, two chapters are included to show how infinite products of matrices are used in graphics and in systems work. Contents: Functionals; Semigroups of Matrices; Patterned Matrices; Ergodicity; Convergence; Continuous Convergence; Paracontracting; Set Convergence; Perturbations in Matrix Sets; Graphics; Slowly Varying Products; Systems. Readership: Researchers in applied mathematics, numerical and computational mathematics, industrial engineering, chaos and dynamical systems.


Nonhomogeneous Matrix Products

Nonhomogeneous Matrix Products

Author: D. J. Hartfiel

Publisher: World Scientific

Published: 2002

Total Pages: 236

ISBN-13: 9810246285

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Puts together much of the basic work on infinite products of matrices, providing a primary source for such work.


Non-Homogeneous Markov Chains and Systems

Non-Homogeneous Markov Chains and Systems

Author: P.-C.G. Vassiliou

Publisher: CRC Press

Published: 2022-12-21

Total Pages: 607

ISBN-13: 135198070X

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Non-Homogeneous Markov Chains and Systems: Theory and Applications fulfills two principal goals. It is devoted to the study of non-homogeneous Markov chains in the first part, and to the evolution of the theory and applications of non-homogeneous Markov systems (populations) in the second. The book is self-contained, requiring a moderate background in basic probability theory and linear algebra, common to most undergraduate programs in mathematics, statistics, and applied probability. There are some advanced parts, which need measure theory and other advanced mathematics, but the readers are alerted to these so they may focus on the basic results. Features A broad and accessible overview of non-homogeneous Markov chains and systems Fills a significant gap in the current literature A good balance of theory and applications, with advanced mathematical details separated from the main results Many illustrative examples of potential applications from a variety of fields Suitable for use as a course text for postgraduate students of applied probability, or for self-study Potential applications included could lead to other quantitative areas The book is primarily aimed at postgraduate students, researchers, and practitioners in applied probability and statistics, and the presentation has been planned and structured in a way to provide flexibility in topic selection so that the text can be adapted to meet the demands of different course outlines. The text could be used to teach a course to students studying applied probability at a postgraduate level or for self-study. It includes many illustrative examples of potential applications, in order to be useful to researchers from a variety of fields.


Doeblin and Modern Probability

Doeblin and Modern Probability

Author: Harry Cohn

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 362

ISBN-13: 0821851497

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Wolfgang Doeblin, one of the greatest probabilists of this century, died in action during World War II at the age of twenty-five. He left behind several seminal contributions which have profoundly influenced the field and continue to provide inspiration for current research. This book is based on papers presented at the conference, `Fifty Years after Doeblin: Developments in the Theory of Markov Chains, Markov Processes, and Sums of Random Variables', held at Blaubeuren, Germany, in November 1991. Presented here for the first time is an account of Doeblin's life and work, revealing the circumstances of his tragic death in 1940. Organized into sections according to topic, the papers describe both Doeblin's original contributions as well as current developments. With contributions by top probabilists from sixteen countries, this book will interest both researchers in probability and science historians.


Advanced Calculus for Mathematical Modeling in Engineering and Physics

Advanced Calculus for Mathematical Modeling in Engineering and Physics

Author: David Stapleton

Publisher: Elsevier

Published: 2024-06-20

Total Pages: 882

ISBN-13: 0443222886

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Advanced Calculus for Mathematical Modeling in Engineering and Physics introduces the principles and methods of advanced calculus for mathematical modeling, through a balance of theory and application using a state space approach with elementary functional analysis. This framework facilitates a deeper understanding of the nature of mathematical models and of the behavior of their solutions. The work provides a variety of advanced calculus models for mathematical, physical science, and engineering audiences, with discussion of how calculus-based models and their discrete analogies are generated. This valuable textbook offers scientific computations driven by Octave/MATLAB script, in recognition of the rising importance of associated numerical models. - Adopts a state space/functional analysis approach to advanced calculus-based models to provide a better understanding of the development of models and the behaviors of their solutions - Uniquely includes discrete analogies to calculus-based models, as well as the derivation of many advanced calculus models of physics and engineering– instead of only seeking solutions to the models - Offers online teaching support for qualified instructors (for selected solutions) and study materials for students (MATLAB/Octave scripts)


System Modelling and Optimization

System Modelling and Optimization

Author: J. Dolezal

Publisher: Springer

Published: 2013-06-05

Total Pages: 635

ISBN-13: 0387348972

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Proceedings volume contains carefully selected papers presented during the 17th IFIP Conference on System Modelling and Optimization. Optimization theory and practice, optimal control, system modelling, stochastic optimization, and technical and non-technical applications of the existing theory are among areas mostly addressed in the included papers. Main directions are treated in addition to several survey papers based on invited presentations of leading specialists in the respective fields. Publication provides state-of-the-art in the area of system theory and optimization and points out several new areas (e.g fuzzy set, neural nets), where classical optimization topics intersects with computer science methodology.


Markov Set-Chains

Markov Set-Chains

Author: Darald J. Hartfiel

Publisher: Springer

Published: 2006-11-14

Total Pages: 135

ISBN-13: 3540687114

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In this study extending classical Markov chain theory to handle fluctuating transition matrices, the author develops a theory of Markov set-chains and provides numerous examples showing how that theory can be applied. Chapters are concluded with a discussion of related research. Readers who can benefit from this monograph are those interested in, or involved with, systems whose data is imprecise or that fluctuate with time. A background equivalent to a course in linear algebra and one in probability theory should be sufficient.


Advanced Engineering Mathematics

Advanced Engineering Mathematics

Author: Dennis G. Zill

Publisher: Jones & Bartlett Publishers

Published: 2009-12-21

Total Pages: 1005

ISBN-13: 1449653898

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Now with a full-color design, the new Fourth Edition of Zill's Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics necessary for students planning a career in engineering or the sciences. A key strength of this text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fourth Edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. Numerous new projects contributed by esteemed mathematicians have been added. New modern applications and engaging projects makes Zill's classic text a must-have text and resource for Engineering Math students!


Positive Dynamical Systems in Discrete Time

Positive Dynamical Systems in Discrete Time

Author: Ulrich Krause

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2015-11-27

Total Pages: 429

ISBN-13: 3110391341

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This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)


Differential and Difference Equations with Applications

Differential and Difference Equations with Applications

Author: Sandra Pinelas

Publisher: Springer Science & Business Media

Published: 2013-09-21

Total Pages: 639

ISBN-13: 1461473330

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The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications.