Download or read book Methods of Intermediate Problems for Eigenvalues Theory and Ramifications written by A. Weinstein and published by Elsevier. This book was released on 1972-06-23 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Download or read book Numerical Methods for Large Eigenvalue Problems written by Yousef Saad and published by SIAM. This book was released on 2011-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.

Download or read book Variational Methods for Eigenvalue Problems written by S. H. Gould and published by University of Toronto Press. This book was released on 1966-12-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book gave a systematic exposition of the Weinstein method of calculating lower bounds of eigenvalues by means of intermediate problems. From the reviews of this edition and from subsequent shorter expositions it has become clear that the method is of considerable interest to the mathematical world; this interest has increased greatly in recent years by the success of some mathematicians in simplifying and extending the numerical applications, particularly in quantum mechanics. Until now new developments have been available only in articles scattered throughout the literature: this second edition presents them systematically in the framework of the material contained in the first edition, which is retained in somewhat modified form.

Download or read book Intermediate Problems for Eigenvalues written by Alexander Weinstein and published by . This book was released on 1972 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Methods for General and Structured Eigenvalue Problems written by Daniel Kressner and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about computing eigenvalues, eigenvectors, and invariant subspaces of matrices. Treatment includes generalized and structured eigenvalue problems and all vital aspects of eigenvalue computations. A unique feature is the detailed treatment of structured eigenvalue problems, providing insight on accuracy and efficiency gains to be expected from algorithms that take the structure of a matrix into account.

Download or read book Intermediate Problems and the Maximum minimum Theory of Eigenvalues written by Janet Elizabeth Dreves Hall and published by . This book was released on 1966 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bounds for Eigenvalues and the Method of Intermediate Problems written by A. Weinstein and published by . This book was released on 1960 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Simultaneous Linear Equations and the Determination of Eigenvalues written by Lowell J. Paige and published by . This book was released on 1953 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Treatment of Eigenvalue Problems Vol 5 Numerische Behandlung von Eigenwertaufgaben Band 5 written by ALBRECHT and published by Birkhäuser. This book was released on 2013-11-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Variational Methods for Eigenvalue Problems written by S. H. Gould and published by . This book was released on 1957 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Variational Methods for Eigenvalue Approximation written by H. F. Weinberger and published by SIAM. This book was released on 1974-01-01 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.

Download or read book Numerical Methods for Large Eigenvalue Problems written by Y. Saad and published by Manchester University Press. This book was released on 1992 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Variational Methods for Eigenvalue Problems written by Sydney H. Gould and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Journal of Research of the National Bureau of Standards written by and published by . This book was released on 1959 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Templates for the Solution of Algebraic Eigenvalue Problems written by Zhaojun Bai and published by SIAM. This book was released on 2000-01-01 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Download or read book Eigenvalue and Eigenvector Problems in Applied Mechanics written by Sorin Vlase and published by Springer. This book was released on 2018-10-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems. In addition, the book explores a wealth of engineering applications.

Download or read book Eigenvalue Problems in Power Systems written by Federico Milano and published by CRC Press. This book was released on 2020-12-22 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive taxonomy of non-symmetrical eigenvalues problems as applied to power systems. The book bases all formulations on mathematical concept of “matrix pencils” (MPs) and considers both regular and singular MPs for the eigenvalue problems. Each eigenvalue problem is illustrated with a variety of examples based on electrical circuits and/or power system models and controllers and related data are provided in the appendices of the book. Numerical methods for the solution of all considered eigenvalue problems are discussed. The focus is on large scale problems and, hence, attention is dedicated to the performance and scalability of the methods. The target of the book are researchers and graduated students in Electrical & Computer Science Engineering, both taught and research Master programmes as well as PhD programmes and it: explains eigenvalue problems applied into electrical power systems explains numerical examples on applying the mathematical methods, into studying small signal stability problems of realistic and large electrical power systems includes detailed and in-depth analysis including non-linear and other advanced aspects provides theoretical understanding and advanced numerical techniques essential for secure operation of power systems provides a comprehensive set of illustrative examples that support theoretical discussions