Current Trends in Symmetric Polynomials with Their Applications Ⅱ

Current Trends in Symmetric Polynomials with Their Applications Ⅱ PDF Author: Taekyun Kim
Publisher: MDPI
ISBN: 3036503609
Category : Mathematics
Languages : en
Pages : 206

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Book Description
The special issue contains research papers with various topics in many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theory, methods, and their application based on current and recent developing symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and contains the most recent advances made in the area of symmetric functions and polynomials.

Current Trends in Symmetric Polynomials with Their Applications Ⅱ

Current Trends in Symmetric Polynomials with Their Applications Ⅱ PDF Author: Taekyun Kim
Publisher: MDPI
ISBN: 3036503609
Category : Mathematics
Languages : en
Pages : 206

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Book Description
The special issue contains research papers with various topics in many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theory, methods, and their application based on current and recent developing symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and contains the most recent advances made in the area of symmetric functions and polynomials.

Current Trends in Symmetric Polynomials with their Applications

Current Trends in Symmetric Polynomials with their Applications PDF Author: Taekyun Kim
Publisher: MDPI
ISBN: 3039216201
Category : Mathematics
Languages : en
Pages : 238

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Book Description
This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.

Orthogonal Polynomials: Current Trends and Applications

Orthogonal Polynomials: Current Trends and Applications PDF Author: Francisco Marcellán
Publisher: Springer Nature
ISBN: 3030561909
Category : Mathematics
Languages : en
Pages : 330

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Book Description
The present volume contains the Proceedings of the Seventh Iberoamerican Workshop in Orthogonal Polynomials and Applications (EIBPOA, which stands for Encuentros Iberoamericanos de Polinomios Ortogonales y Aplicaciones, in Spanish), held at the Universidad Carlos III de Madrid, Leganés, Spain, from July 3 to July 6, 2018.These meetings were mainly focused to encourage research in the fields of approximation theory, special functions, orthogonal polynomials and their applications among graduate students as well as young researchers from Latin America, Spain and Portugal. The presentation of the state of the art as well as some recent trends constitute the aim of the lectures delivered in the EIBPOA by worldwide recognized researchers in the above fields.In this volume, several topics on the theory of polynomials orthogonal with respect to different inner products are analyzed, both from an introductory point of view for a wide spectrum of readers without an expertise in the area, as well as the emphasis on their applications in topics as integrable systems, random matrices, numerical methods in differential and partial differential equations, coding theory, and signal theory, among others.

Current Trends in Matrix Theory

Current Trends in Matrix Theory PDF Author: Frank Uhlig
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 480

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Book Description
This volume contains 41 original papers and 22 abstracts of research in linear algebra and applications currently conducted by many of the leading experts in the field. More than a dozen of the papers are survey articles, while several propose open problems. The applications range from control to probability theory, with strong emphasis on matrix polynomials, Schur complements, permanents, numerical computation, combinatorics, and core linear algebra.

Linear and Projective Representations of Symmetric Groups

Linear and Projective Representations of Symmetric Groups PDF Author: Alexander Kleshchev
Publisher: Cambridge University Press
ISBN: 1139444069
Category : Mathematics
Languages : en
Pages : 293

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Book Description
The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own

Orthogonal Polynomials: Current Trends and Applications

Orthogonal Polynomials: Current Trends and Applications PDF Author: Francisco Marcellán
Publisher: Springer
ISBN: 9783030561895
Category : Mathematics
Languages : en
Pages : 327

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Book Description
The present volume contains the Proceedings of the Seventh Iberoamerican Workshop in Orthogonal Polynomials and Applications (EIBPOA, which stands for Encuentros Iberoamericanos de Polinomios Ortogonales y Aplicaciones, in Spanish), held at the Universidad Carlos III de Madrid, Leganés, Spain, from July 3 to July 6, 2018.These meetings were mainly focused to encourage research in the fields of approximation theory, special functions, orthogonal polynomials and their applications among graduate students as well as young researchers from Latin America, Spain and Portugal. The presentation of the state of the art as well as some recent trends constitute the aim of the lectures delivered in the EIBPOA by worldwide recognized researchers in the above fields.In this volume, several topics on the theory of polynomials orthogonal with respect to different inner products are analyzed, both from an introductory point of view for a wide spectrum of readers without an expertise in the area, as well as the emphasis on their applications in topics as integrable systems, random matrices, numerical methods in differential and partial differential equations, coding theory, and signal theory, among others.

Polynomials

Polynomials PDF Author: Cheon Seoung Ryoo
Publisher: BoD – Books on Demand
ISBN: 183880269X
Category : Mathematics
Languages : en
Pages : 174

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Book Description
Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only be solved using special polynomials. Special polynomials and orthonormal polynomials provide a new way to analyze solutions of various equations often encountered in engineering and physical problems. In particular, special polynomials play a fundamental and important role in mathematics and applied mathematics. Until now, research on polynomials has been done in mathematics and applied mathematics only. This book is based on recent results in all areas related to polynomials. Divided into sections on theory and application, this book provides an overview of the current research in the field of polynomials. Topics include cyclotomic and Littlewood polynomials; Descartes' rule of signs; obtaining explicit formulas and identities for polynomials defined by generating functions; polynomials with symmetric zeros; numerical investigation on the structure of the zeros of the q-tangent polynomials; investigation and synthesis of robust polynomials in uncertainty on the basis of the root locus theory; pricing basket options by polynomial approximations; and orthogonal expansion in time domain method for solving Maxwell's equations using paralleling-in-order scheme.

Decomposability of Tensors

Decomposability of Tensors PDF Author: Luca Chiantini
Publisher: MDPI
ISBN: 3038975907
Category : Mathematics
Languages : en
Pages : 161

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Book Description
This book is a printed edition of the Special Issue "Decomposability of Tensors" that was published in Mathematics

KWIC Index for Numerical Algebra

KWIC Index for Numerical Algebra PDF Author: Alston Scott Householder
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 552

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Book Description


Topics in Quaternion Linear Algebra

Topics in Quaternion Linear Algebra PDF Author: Leiba Rodman
Publisher: Princeton University Press
ISBN: 1400852749
Category : Mathematics
Languages : en
Pages : 379

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Book Description
Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.