[PDF] The Schur Complement And Its Applications eBook

Author : Fuzhen Zhang
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 44,1 MB
Release : 2005-03-04
Category : Mathematics
ISBN : 9780387242712

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This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.

Author : Fuzhen Zhang
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 14,54 MB
Release : 2006-03-30
Category : Mathematics
ISBN : 0387242732

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This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.

Author : Harm Bart
Publisher : Springer
Page : 464 pages
File Size : 32,75 MB
Release : 2018-12-30
Category : Mathematics
ISBN : 3030042693

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This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski.

Author : Jean Gallier
Publisher : Springer Science & Business Media
Page : 584 pages
File Size : 36,19 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461301378

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As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Author : Peter Lancaster
Publisher : Academic Press
Page : 590 pages
File Size : 10,47 MB
Release : 1985-05-28
Category : Computers
ISBN : 9780124355606

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Matrix algebra; Determinants, inverse matrices, and rank; Linear, euclidean, and unitary spaces; Linear transformations and matrices; Linear transformations in unitary spaces and simple matrices; The jordan canonical form: a geometric approach; Matrix polynomials and normal forms; The variational method; Functions of matrices; Norms and bounds for eigenvalues; Perturbation theory; Linear matrices equations and generalized inverses; Stability problems; Matrix polynomials; Nonnegative matrices.

Author : Fuzhen Zhang
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 46,65 MB
Release : 2013-03-14
Category : Mathematics
ISBN : 1475757972

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This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.

Author : Calyampudi Radhakrishna Rao
Publisher : John Wiley & Sons
Page : 264 pages
File Size : 49,44 MB
Release : 1971
Category : Mathematics
ISBN :

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Notations and preliminaries; Generalized inverse of a matrix; Three basic types of g-inverses; Other special types of g-inverse; Projectors, idempotent matrices and partial isometry; Simulatneous reduction of a pair of herminitian forms; Estimation of parameters in linear models; Conditions for optimality and validity of least-squares theory; Distribution of quadratic forms; Miscellaneous applications of g-inverses; Computational methods; Bibliography on generalized inverses and applications; Index.

Author : Ravindra B. Bapat
Publisher : Springer Science & Business Media
Page : 145 pages
File Size : 21,54 MB
Release : 2008-01-18
Category : Mathematics
ISBN : 038722601X

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This book provides a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing, covering the necessary prerequisites in matrices, multivariate normal distribution and distributions of quadratic forms along the way. It will appeal to advanced undergraduate and first-year graduate students, research mathematicians and statisticians.

Author : O.L.V. Costa
Publisher : Springer Science & Business Media
Page : 287 pages
File Size : 34,32 MB
Release : 2006-03-30
Category : Mathematics
ISBN : 1846280826

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This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time