Polynomial Sequences: Basic Methods, Special Classes, and Computational Applications, Anna Napoli, Francesco Aldo Costabile, Maria Italia Gualtieri
Автор: Anjos Название: Handbook on Semidefinite, Conic and Polynomial Optimization ISBN: 1461407680 ISBN-13(EAN): 9781461407683 Издательство: Springer Рейтинг: Цена: 232910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Semidefinite and conic optimization is a major and thriving research area within the optimization community. Although semidefinite optimization has been studied (under different names) since at least the 1940s, its importance grew immensely during the 1990s after polynomial-time interior-point methods for linear optimization were extended to solve semidefinite optimization problems. Since the beginning of the 21st century, not only has research into semidefinite and conic optimization continued unabated, but also a fruitful interaction has developed with algebraic geometry through the close connections between semidefinite matrices and polynomial optimization. This has brought about important new results and led to an even higher level of research activity. This Handbook on Semidefinite, Conic and Polynomial Optimization provides the reader with a snapshot of the state-of-the-art in the growing and mutually enriching areas of semidefinite optimization, conic optimization, and polynomial optimization. It contains a compendium of the recent research activity that has taken place in these thrilling areas, and will appeal to doctoral students, young graduates, and experienced researchers alike. The Handbook’s thirty-one chapters are organized into four parts:Theory, covering significant theoretical developments as well as the interactions between conic optimization and polynomial optimization;Algorithms, documenting the directions of current algorithmic development;Software, providing an overview of the state-of-the-art;Applications, dealing with the application areas where semidefinite and conic optimization has made a significant impact in recent years.
Автор: Junghanns Название: Weighted Polynomial Approximation and Numerical Methods for Integral Equations ISBN: 3030774996 ISBN-13(EAN): 9783030774998 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.
Автор: Michael J. Grimble; Vladimir Kucera Название: Polynomial Methods for Control Systems Design ISBN: 3540760776 ISBN-13(EAN): 9783540760771 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph was motivated by a very successful workshop held before the 3rd IEEE Conference on Decision and Control held at the Buena Vista Hotel, lake Buena Vista, Florida, USA. The workshop was held to provide an overview of polynomial system methods in LQG (or H ) and Hoo optimal control and 2 estimation.
Автор: Pengkun Yang, Yihong Wu Название: Polynomial Methods in Statistical Inference: Theory and Practice ISBN: 1680837303 ISBN-13(EAN): 9781680837308 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 81310.00 T Наличие на складе: Нет в наличии. Описание: The authors of this monograph survey a suite of techniques based on the theory of polynomials, collectively referred to as polynomial methods. These techniques provide useful tools for the design of highly practical algorithms with provable optimality, and for establishing the fundamental limits of inference problems through moment matching.
Автор: Bach, Jr., Bernhard W. (university Of Nevada, Reno) Название: Student`s guide to infinite series and sequences ISBN: 1107059828 ISBN-13(EAN): 9781107059825 Издательство: Cambridge Academ Рейтинг: Цена: 66530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: An informal and practically focused introduction for undergraduate students exploring infinite series and sequences in engineering and the physical sciences. With a focus on practical applications in real world situations, it helps students to conceptualize the theory with real-world examples and to build their skill set.
Автор: Nikolay Nikolaev; Hitoshi Iba Название: Adaptive Learning of Polynomial Networks ISBN: 144194060X ISBN-13(EAN): 9781441940605 Издательство: Springer Рейтинг: Цена: 144410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book delivers theoretical and practical knowledge for developing algorithms that infer linear and non-linear multivariate models, providing a methodology for inductive learning of polynomial neural network models (PNN) from data.
Автор: Allen G. Rodrigo; Gerald H. Learn Jr. Название: Computational and Evolutionary Analysis of HIV Molecular Sequences ISBN: 0792379942 ISBN-13(EAN): 9780792379942 Издательство: Springer Рейтинг: Цена: 213360.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: HIV research is unusual in that it brings together scientists from a wide range of disciplines. This book seeks to bridge the gap between these groups, in both subject matter and terminology. Focusing on HIV genetic variation, it covers such issues as sampling and processing sequences, population genetics, phylogenetics and drug targets.
Автор: Anna Napoli, Francesco Aldo Costabile, Maria Italia Gualtieri Название: Polynomial Sequences: Basic Methods, Special Classes, and Computational Applications ISBN: 311075732X ISBN-13(EAN): 9783110757323 Издательство: Walter de Gruyter Рейтинг: Цена: 172320.00 T Наличие на складе: Нет в наличии. Описание: Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the various branches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied.
Автор: Marco Fontana; Sophie Frisch; Sarah Glaz Название: Commutative Algebra ISBN: 149390924X ISBN-13(EAN): 9781493909247 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non- Noetherian ring theory as well as integer-valued polynomials and functions.
Specific topics include:
- Homological dimensions of Pr fer-like rings
- Quasi complete rings
- Total graphs of rings
- Properties of prime ideals over various rings
- Bases for integer-valued polynomials
- Boolean subrings
- The portable property of domains
- Probabilistic topics in Intn(D)
- Closure operations in Zariski-Riemann spaces of valuation domains
- Stability of domains
- Non-Noetherian grade
- Homotopy in integer-valued polynomials
- Localizations of global properties of rings
- Topics in integral closure
- Monoids and submonoids of domains
The book includes twenty articles written by many of the most prominent researchers in the field. Most contributions are authored by attendees of the conference in commutative algebra held at the Graz University of Technology in December 2012. There is also a small collection of invited articles authored by those who did not attend the conference. Following the model of the Graz conference, the volume contains a number of comprehensive survey articles along with related research articles featuring recent results that have not yet been published elsewhere.
Автор: Peter Borwein; Tamas Erdelyi Название: Polynomials and Polynomial Inequalities ISBN: 1461269024 ISBN-13(EAN): 9781461269021 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis; it focuses on polynomials and rational functions of a single variable. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis. After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Muntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality conclude the book.
Автор: Marco Fontana; Sophie Frisch; Sarah Glaz Название: Commutative Algebra ISBN: 1493947419 ISBN-13(EAN): 9781493947416 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non- Noetherian ring theory as well as integer-valued polynomials and functions.
Specific topics include:
- Homological dimensions of Prufer-like rings
- Quasi complete rings
- Total graphs of rings
- Properties of prime ideals over various rings
- Bases for integer-valued polynomials
- Boolean subrings
- The portable property of domains
- Probabilistic topics in Intn(D)
- Closure operations in Zariski-Riemann spaces of valuation domains
- Stability of domains
- Non-Noetherian grade
- Homotopy in integer-valued polynomials
- Localizations of global properties of rings
- Topics in integral closure
- Monoids and submonoids of domains
The book includes twenty articles written by many of the most prominent researchers in the field. Most contributions are authored by attendees of the conference in commutative algebra held at the Graz University of Technology in December 2012. There is also a small collection of invited articles authored by those who did not attend the conference. Following the model of the Graz conference, the volume contains a number of comprehensive survey articles along with related research articles featuring recent results that have not yet been published elsewhere.
Автор: Adcock, Ben Brugiapaglia, Simone Webster, Clayton G. Название: Sparse polynomial approximation of high-dimensional functions ISBN: 1611976871 ISBN-13(EAN): 9781611976878 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 70230.00 T Наличие на складе: Нет в наличии. Описание: Over seventy years ago, Richard Bellman coined the term "the curse of dimensionality" to describe phenomena and computational challenges that arise in high dimensions. These challenges, in tandem with the ubiquity of high-dimensional functions in real-world applications, have led to a lengthy, focused research effort on high-dimensional approximation—that is, the development of methods for approximating functions of many variables accurately and efficiently from data. This book provides an in-depth treatment of one of the latest installments in this long and ongoing story: sparse polynomial approximation methods. These methods have emerged as useful tools for various high-dimensional approximation tasks arising in a range of applications in computational science and engineering. It begins with a comprehensive overview of best s-term polynomial approximation theory for holomorphic, high-dimensional functions, as well as a detailed survey of applications to parametric differential equations. It then describes methods for computing sparse polynomial approximations, focusing on least squares and compressed sensing techniques.Sparse Polynomial Approximation of High-Dimensional Functions presents the first comprehensive and unified treatment of polynomial approximation techniques that can mitigate the curse of dimensionality in high-dimensional approximation, including least squares and compressed sensing. It develops main concepts in a mathematically rigorous manner, with full proofs given wherever possible, and it contains many numerical examples, each accompanied by downloadable code. The authors provide an extensive bibliography of over 350 relevant references, with an additional annotated bibliography available on the book's companion website (www.sparse-hd-book.com).This text is aimed at graduate students, postdoctoral fellows, and researchers in mathematics, computer science, and engineering who are interested in high-dimensional polynomial approximation techniques.
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