Group Inverses of M-Matrices and Their Applications, Kirkland, Stephen J. , Neumann, Michael
Автор: Pop Vasile, Furdui Ovidiu Название: Square Matrices of Order 2: Theory, Applications, and Problems ISBN: 3319855263 ISBN-13(EAN): 9783319855264 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This unique and innovative book presents an exciting and complete detail of all the important topics related to the theory of square matrices of order 2. The readers exploring every detailed aspect of matrix theory are gently led toward understanding advanced topics. They will follow every notion of matrix theory with ease, accumulating a thorough understanding of algebraic and geometric aspects of matrices of order 2.
The prime jewel of this book is its offering of an unusual collection of problems, theoretically motivated, most of which are new, original, and seeing the light of publication for the first time in the literature. Nearly all of the exercises are presented with detailed solutions and vary in difficulty from easy to more advanced. Many problems are particularly challenging.
These, and not only these, invite the reader to unleash their creativity and research capabilities and to discover their own methods of attacking a problem.Matrices have a vast practical importance to mathematics, science, and engineering; therefore the readership of this book is intended to be broad: high school students wishing to learn the fundamentals of matrix theory, first year students who like to participate in mathematical competitions, graduate students who want to learn more about an application of a certain technique, doctoral students who are preparing for their prelim exams in linear algebra, and linear algebra instructors. Chapters 1-3 complement a standard linear algebra course. Pure and applied mathematicians who use matrix theory for their applications will find this book useful as a refresher.
In fact, anyone who is willing to explore the methodologies discussed in this book and work through a collection of problems involving matrices of order 2 will be enriched.
Автор: Ravindra B. Bapat; Steve J. Kirkland; K. Manjunath Название: Combinatorial Matrix Theory and Generalized Inverses of Matrices ISBN: 813221725X ISBN-13(EAN): 9788132217251 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book examines two important contemporary areas in linear algebra, namely combinatorial matrix theory and generalized inverses. It covers a wide range of topics of interest such as graph theory, linear algebra, numerical methods and statistical inference.
Автор: Haruo Yanai; Kei Takeuchi; Yoshio Takane Название: Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition ISBN: 1461428599 ISBN-13(EAN): 9781461428596 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Albert J. Getson; Francis C. Hsuan Название: {2}-Inverses and Their Statistical Application ISBN: 0387968490 ISBN-13(EAN): 9780387968490 Издательство: Springer Рейтинг: Цена: 107130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Much of the traditional approach to linear model analysis is bound up in complex matrix expressions revolving about the usual generalized inverse. Initially this research was begun by Francis Hsuan and Pat Langenberg, without knowledge of Kruskal`s paper published in 1975.
Автор: Shivakumar Название: Infinite Matrices and Their Recent Applications ISBN: 3319301799 ISBN-13(EAN): 9783319301792 Издательство: Springer Рейтинг: Цена: 71730.00 T 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: D. Rose Название: Sparse Matrices and their Applications ISBN: 1461586771 ISBN-13(EAN): 9781461586777 Издательство: Springer Рейтинг: Цена: 81050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book contains papers on sparse matrices and their appli- cations which were presented at a Symposium held at the IBM Thomas J. This is a very active field of research since efficient techniques for handling sparse matrix calculations are an important aspect of problem solving.
Автор: Shivakumar P. N., Sivakumar K. C., Zhang Yang Название: Infinite Matrices and Their Recent Applications ISBN: 3319807412 ISBN-13(EAN): 9783319807416 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Introduction.- Finite Matrices and their Nonsingularity.- Infinite Linear Equations.- Generalized Inverses: Real or Complex Field.- Generalized Inverses: Quaternions.- M-matrices over Infinite Dimensional Spaces.- Infinite Linear Programming.- Applications.
Автор: Adi Ben-Israel; Thomas N.E. Greville Название: Generalized Inverses ISBN: 1441918140 ISBN-13(EAN): 9781441918147 Издательство: Springer Рейтинг: Цена: 62380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 1. The Inverse of a Nonsingular Matrix It is well known that every nonsingular matrix A has a unique inverse, ?1 denoted by A, such that ?1 ?1 AA = A A =I, (1) where I is the identity matrix. Of the numerous properties of the inverse matrix, we mention a few. Thus, ?1 ?1 (A ) = A, T ?1 ?1 T (A ) =(A ), ? ?1 ?1 ? (A ) =(A ), ?1 ?1 ?1 (AB) = B A, T ? where A and A, respectively, denote the transpose and conjugate tra- pose of A. It will be recalled that a real or complex number ? is called an eigenvalue of a square matrix A, and a nonzero vector x is called an eigenvector of A corresponding to ?, if Ax = ?x. ?1 Another property of the inverse A is that its eigenvalues are the recip- cals of those of A. 2. Generalized Inverses of Matrices A matrix has an inverse only if it is square, and even then only if it is nonsingular or, in other words, if its columns (or rows) are linearly in- pendent. In recent years needs have been felt in numerous areas of applied mathematics for some kind of partial inverse of a matrix that is singular or even rectangular.
Автор: Wei Yimin, Stanimirovic Predrag, Petkovic Marko Название: Numerical and Symbolic Computations of Generalized Inverses ISBN: 9813238666 ISBN-13(EAN): 9789813238664 Издательство: World Scientific Publishing Рейтинг: Цена: 235880.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians.
Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numerical-symbolic computations.
Автор: Cvetkovic‐ilic Dragana S., Wei Yimin Название: Algebraic Properties of Generalized Inverses ISBN: 9811348626 ISBN-13(EAN): 9789811348624 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Definitions and motivations.- Reverse order law.- Completions of operator matrices and generalized inverses.- Generalized inverses and idempotents.- Drazin inverse of a 2 Ч 2 block matrix.- Additive Results for the Drazin Inverse.- Index.
Автор: Dragana S. Cvetkovi??Ili?; Yimin Wei Название: Algebraic Properties of Generalized Inverses ISBN: 9811063486 ISBN-13(EAN): 9789811063480 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Definitions and motivations.- Reverse order law.- Completions of operator matrices and generalized inverses.- Generalized inverses and idempotents.- Drazin inverse of a 2 Ч 2 block matrix.- Additive Results for the Drazin Inverse.- Index.
Название: Generalized inverses. ISBN: 981130145X ISBN-13(EAN): 9789811301452 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.
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