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  • Recent Developments in Fixed-Point Theory

    Theoretical Foundations and Real-World Applications

    Series series Mathematics and Statistics (R0)
    This contributed book has a comprehensive collection of 17 carefully curated chapters that delve into the latest advancements in fixed-point theory and its diverse applications. It bridges the gap between theory and practicality, providing readers with a deep understanding of fundamental theorems related to the existence and uniqueness of maps. The book covers a wide array of applications, each ... Read more

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    A comprehensive treatment of numerical linear algebra from the standpoint of both theory and practice.The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its ... Read more

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  • Neural-Based Orthogonal Data Fitting

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    Series Book 66 - Adaptive and Cognitive Dynamic Systems: Signal Processing, Learning, Communications and Control
    The presentation of a novel theory in orthogonal regressionThe literature about neural-based algorithms is often dedicated to principal component analysis (PCA) and considers minor component analysis (MCA) a mere consequence. Breaking the mold, Neural-Based Orthogonal Data Fitting is the first book to start with the MCA problem and arrive at important conclusions about the PCA problem.The book ... Read more

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  • A Mathematical Introduction to Compressive Sensing

    Series series Applied and Numerical Harmonic Analysis
    At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, ... Read more

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    Polynomial optimization have been a hot research topic for the past few years and its applications range from Operations Research, biomedical engineering, investment science, to quantum mechanics, linear algebra, and signal processing, among many others. In this brief the authors discuss some important subclasses of polynomial optimization models arising from various applications, with a focus on ... Read more

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  • Recent Advances and Applications of Fuzzy Metric Fixed Point Theory

    This book not only presents essential material to understand fuzzy metric fixed point theory, but also enables the readers to appreciate the recent advancements made in this direction. It contains seven chapters on different topics in fuzzy metric fixed point theory. These chapters cover a good range of interesting topics such as con- vergence problems in fuzzy metrics, fixed figure problems, and ... Read more

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  • Fundamentals of Matrix-Analytic Methods

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    Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts of Matrix-Analytic Methods, Phase-Type Distributions, Markovian arrival processes and Structured Markov chains and matrix geometric solutions.New materials and techniques are presented for the first time in research and engineering design. ... Read more

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  • Fixed Point Results in W-Distance Spaces

    Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars ... Read more

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  • Gibbs Measures On Cayley Trees

    The purpose of this book is to present systematically all known mathematical results on Gibbs measures on Cayley trees (Bethe lattices).The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measure associated with the Hamiltonian of a physical system (a model) and generalizes the notion of a ... Read more

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  • Advanced Mathematical Analysis and its Applications

    Advanced Mathematical Analysis and its Applications presents state-of-the-art developments in mathematical analysis through new and original contributions and surveys, with a particular emphasis on applications in engineering and mathematical sciences. New research directions are indicated in each of the chapters, and while this book is meant primarily for graduate students, there is content that ... Read more

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  • Fixed Point Theory and Fractional Calculus

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    This book collects chapters on fixed-point theory and fractional calculus and their applications in science and engineering. It discusses state-of-the-art developments in these two areas through original new contributions from scientists across the world. It contains several useful tools and techniques to develop their skills and expertise in fixed-point theory and fractional calculus. New ... Read more

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  • Fixed Point Theory in Metric Spaces

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    Series series Mathematics and Statistics (R0)
    This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. Divided into ten chapters, it discusses topics such as the Banach ... Read more

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