Matrices: Algebra, Analysis and Applications, Friedland Shmuel
Автор: Kazuo Murota Название: Matrices and Matroids for Systems Analysis ISBN: 3642039936 ISBN-13(EAN): 9783642039935 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. It serves also as a comprehensive presentation of the theory and application of mixed matrices.
Описание: This valuable reference on projectors, generalized inverses, and SVD covers concepts numerous cutting-edge concepts and provides systematic and in-depth accounts of these ideas from the viewpoint of linear transformations of finite dimensional vector spaces.
Автор: Anderson, Greg W. Guionnet, Alice Zeitouni, Ofer Название: Introduction to random matrices ISBN: 0521194520 ISBN-13(EAN): 9780521194525 Издательство: Cambridge Academ Рейтинг: Цена: 11088.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of random matrices plays an important role in many areas of pure mathematics. This rigorous introduction is specifically designed for graduate students in mathematics or related sciences, who have a background in probability theory but have not been exposed to advanced notions of functional analysis, algebra or geometry.
Автор: Shivakumar Название: Infinite Matrices and Their Recent Applications ISBN: 3319301799 ISBN-13(EAN): 9783319301792 Издательство: Springer Рейтинг: Цена: 10760.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases.
Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian.
Автор: Su Zhonggen Название: Random Matrices And Random Partitions: Normal Convergence ISBN: 9814612227 ISBN-13(EAN): 9789814612227 Издательство: World Scientific Publishing Рейтинг: Цена: 13939.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This Book Is Aimed At Graduate Students And Researchers Who Are Interested In The Probability Limit Theory Of Random Matrices And Random Partitions. It Mainly Consists Of Three Parts. Part I Is A Brief Review Of Classical Central Limit Theorems For Sums Of Independent Random Variables, Martingale Sequences And Markov Chains, Etc. These Classical Theorems Are Frequently Used In The Study Of Random Matrices And Random Partitions Where Random Matrices Are Well-Studied In Probability Theory. Part Ii Concentrates On The Asymptotic Distribution Theory Of Circular Unitary Ensemble And Gaussian Unitary Ensemble, Which Are Prototypes Of Random Matrix Theory. It Turns Out That The Classical Central Limit Theorems And Methods Are Applicable In Describing Asymptotic Distributions Of Eigenvalue Statistics Like Linear Functionals Of Eigenvalues. This Is Attributed To The Nice Algebraic Structures Of Models. This Part Also Studies The Circular β Ensembles And Gaussian β Ensembles, Which May Be Viewed As Extensions Of The Circular Unitary Ensemble And Gaussian Unitary Ensemble. Part Iii Is Devoted To The Study Of Random Uniform And Plancherel Partitions. As Is Known, There Is A Surprising Similarity Between Random Matrices And Random Integer Partitions From The Viewpoint Of Asymptotic Distribution Theory, Though It Is Difficult To Find Any Direct Link Between The Two Finite Models.This Book Treats Only Second-Order Fluctuations For Primary Random Variables From Two Classes Of Special Random Models. It Is Written In A Clear, Concise And Pedagogical Way. It May Be Read As An Introductory Text To Further Study Probability Theory Of General Random Matrices, Random Partitions And Even Random Point Processes. This Book Is Aimed At Graduate Students And Researchers Who Are Interested In Probability Limit Theory Of Random Matrices And Random Integer Partitions.
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