Algebraic Properties of Generalized Inverses, Dragana S. Cvetkovi??Ili?; Yimin Wei

Автор: Bapat Ravindra B
Название: Combinatorial Matrix Theory and Generalized Inverses of Matr
ISBN: 8132210522 ISBN-13(EAN): 9788132210528
Издательство: Springer
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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: 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
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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: Adi Ben-Israel; Thomas N.E. Greville
Название: Generalized Inverses
ISBN: 1441918140 ISBN-13(EAN): 9781441918147
Издательство: Springer
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Цена: 9357.00 р.
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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: Haruo Yanai; Kei Takeuchi; Yoshio Takane
Название: Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition
ISBN: 1461428599 ISBN-13(EAN): 9781461428596
Издательство: Springer
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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: Friedrich Wehrung
Название: Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
ISBN: 331961598X ISBN-13(EAN): 9783319615981
Издательство: Springer
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Описание: Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski`s classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin`s work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings.

Автор: Kirsch, Andreas
Название: Introduction to the mathematical theory of inverse problems
ISBN: 1461428513 ISBN-13(EAN): 9781461428510
Издательство: Springer
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Описание: This book introduces the area of inverse problems. It examines basic notions and difficulties encountered with ill-posed problems and presents two special nonlinear inverse problems in detail: the inverse spectral problem and the inverse scattering problem.

Автор: Larisa Beilina
Название: Inverse Problems and Applications
ISBN: 3319349392 ISBN-13(EAN): 9783319349398
Издательство: Springer
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Цена: 13974.00 р.
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Описание: ГЇВїВЅ ГЇВїВЅ This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods.

Автор: Larisa Beilina
Название: Inverse Problems and Applications
ISBN: 3319124986 ISBN-13(EAN): 9783319124988
Издательство: Springer
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Описание: ГЇВїВЅ ГЇВїВЅ This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods.

Автор: M.S. Keane; Yurij V. Linnik
Название: Ergodic Properties of Algebraic Fields
ISBN: 3642866336 ISBN-13(EAN): 9783642866333
Издательство: Springer
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Описание: Constructing "flows" of integral points on certain algebraic manifolds given by systems of integral polynomials, we are able to prove individual ergodic theorems and mixing theorems in certain cases.