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Author: B. Kagström
Publisher: Springer
ISBN: 3540394478
Category : Mathematics
Languages : en
Pages : 304
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Book Description
Author: B. Kagström
Publisher: Springer
ISBN: 3540394478
Category : Mathematics
Languages : en
Pages : 304
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Book Description
Author: Hannes Gernandt
Publisher: BoD – Books on Demand
ISBN: 3863602463
Category : Mathematics
Languages : en
Pages : 134
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Book Description
In this thesis we study the eigenvalues of linear matrix pencils and their behavior under perturbations of the pencil coefficients. In particular we address (i) Possibility of eigenvalue assignment under structured rank-one perturbations; (ii) Distance to nearest pencils with a prescribed set of eigenvalues in norm and gap distance; (iii) Computing nearest matrix pencils with prescribed eigenvalues using structured perturbations. In (i) and (ii) we exploit the connection between matrix pencils and certain subspaces via their Weyr characteristics. This provides a way of lifting perturbation measures for subspaces such as the gap distance to the set of matrix pencils. In (iii) one has to solve a large scale non-convex optimization problem which appears e.g. in optimal redesign of integrated circuits. We show how feasible solutions close to the optimal value can be computed. Finally, this is used to improve the bandwidth of two circuits (two-stage CMOS & μA741).
Author: Peter Lancaster
Publisher: Elsevier
ISBN: 1483150968
Category : Science
Languages : en
Pages : 211
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Book Description
Lambda-Matrices and Vibrating Systems presents aspects and solutions to problems concerned with linear vibrating systems with a finite degrees of freedom and the theory of matrices. The book discusses some parts of the theory of matrices that will account for the solutions of the problems. The text starts with an outline of matrix theory, and some theorems are proved. The Jordan canonical form is also applied to understand the structure of square matrices. Classical theorems are discussed further by applying the Jordan canonical form, the Rayleigh quotient, and simple matrix pencils with latent vectors in common. The book then expounds on Lambda matrices and on some numerical methods for Lambda matrices. These methods explain developments of known approximations and rates of convergence. The text then addresses general solutions for simultaneous ordinary differential equations with constant coefficients. The results of some of the studies are then applied to the theory of vibration by applying the Lagrange method for formulating equations of motion, after the formula establishing the energies and dissipation functions are completed. The book describes the theory of resonance testing using the stationary phase method, where the test is carried out by applying certain forces to the structure being studied, and the amplitude of response in the structure is measured. The book also discusses other difficult problems. The text can be used by physicists, engineers, mathematicians, and designers of industrial equipment that incorporates motion in the design.
Author: Leiba Rodman
Publisher: Princeton University Press
ISBN: 0691161852
Category : Mathematics
Languages : en
Pages : 378
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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.
Author: Peter Benner
Publisher: Springer
ISBN: 3319152602
Category : Mathematics
Languages : en
Pages : 635
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Book Description
This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory. These mathematical research areas are strongly related and often occur in the same real-world applications. The main areas where such applications emerge are computational engineering and sciences, but increasingly also social sciences and economics. This book also reflects some of Volker Mehrmann's major career stages. Starting out working in the areas of numerical linear algebra (his first full professorship at TU Chemnitz was in "Numerical Algebra," hence the title of the book) and matrix theory, Volker Mehrmann has made significant contributions to these areas ever since. The highlights of these are discussed in Parts I and II of the present book. Often the development of new algorithms in numerical linear algebra is motivated by problems in system and control theory. These and his later major work on differential-algebraic equations, to which he together with Peter Kunkel made many groundbreaking contributions, are the topic of the chapters in Part III. Besides providing a scientific discussion of Volker Mehrmann's work and its impact on the development of several areas of applied mathematics, the individual chapters stand on their own as reference works for selected topics in the fields of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.
Author: H. W. Turnbull
Publisher: Courier Corporation
ISBN: 0486153460
Category : Mathematics
Languages : en
Pages : 222
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Book Description
Elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. 1952 edition. 275 problems.
Author: H P Dikshit
Publisher: World Scientific
ISBN: 9814552062
Category :
Languages : en
Pages : 338
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Book Description
Contents:Finite Elements for Kirchhoff and Mindlin-Reissner Plates (D Braess)A Multiscale Method for the Double Layer Potential Equation on a Polyhedron (W Dahmen et al)Shape Preserving GC2-Rational Cubic Splines (A Bhatt et al)Affine Operators and Frames of Multivariate Wavelets (C K Chui & X L Shi)Compressed Representations of Curves and Images Using a Multiresolution Box-Spline Framework (H Diamond et al)Wavelet Transformations and Matrix Compression (S L Lee et al)Using the Refinement Equation for the Construction of Pre-Wavelets VII: Strömberg Wavelets (C A Micchelli)An Extension of a Result of Rivilin on Walsh Equiconvergence (R Brück et al)Rational Complex Planar Splines (H P Dikshit et al)Constructive Aspects in Complex Analysis (D Gaier)Applications and Computation of Orthogonal Polynomials (W Gautschi)Approximation of Multivariate Functions (V Ya Lin & A Pinkus)Some Algorithms for Thin Plate Spline Interpolation to Functions of Two Variables (M J D Powell)and other papers Readership: Applied mathematicians. keywords:
Author: José Mira
Publisher: Springer
ISBN: 3540448691
Category : Computers
Languages : en
Pages : 846
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Book Description
The two-volume set LNCS 2686 and LNCS 2687 constitute the refereed proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2003, held in MaÃ3, Menorca, Spain in June 2003.The 197 revised papers presented were carefully reviewed and selected for inclusion in the book and address the following topics: mathematical and computational methods in neural modelling, neurophysiological data analysis and modelling, structural and functional models of neurons, learning and other plasticity phenomena, complex systems dynamics, cognitive processes and artificial intelligence, methodologies for net design, bio-inspired systems and engineering, and applications in a broad variety of fields.nbsp;
Author: Dario Andrea Bini
Publisher: Springer
ISBN: 3030040887
Category : Mathematics
Languages : en
Pages : 327
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Book Description
This book gathers selected contributions presented at the INdAM Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, held in Cortona, Italy on September 4-8, 2017. Highlights cutting-edge research on Structured Matrix Analysis, it covers theoretical issues, computational aspects, and applications alike. The contributions, written by authors from the foremost international groups in the community, trace the main research lines and treat the main problems of current interest in this field. The book offers a valuable resource for all scholars who are interested in this topic, including researchers, PhD students and post-docs.
Author:
Publisher: ScholarlyEditions
ISBN: 1464966176
Category : Mathematics
Languages : en
Pages : 461
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Book Description
Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Logic, Probability, Combinatorics, and Chaos Theory. The editors have built Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Logic, Probability, Combinatorics, and Chaos Theory in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
