Download or read book Matrix Perturbation Theory written by G. W. Stewart and published by Academic Press. This book was released on 1990-06-28 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive survey of matrix perturbation theory, a topic of interest to numerical analysts, statisticians, physical scientists, and engineers. In particular, the authors cover perturbation theory of linear systems and least square problems, the eignevalue problem, and the generalized eignevalue problem as wellas a complete treatment of vector and matrix norms, including the theory of unitary invariant norms.
Download or read book Perturbation Theory for Matrix Equations written by M. Konstantinov and published by Gulf Professional Publishing. This book was released on 2003-05-20 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis.In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds.Key features:• The first book in this field • Can be used by a variety of specialists • Material is self-contained • Results can be used in the development of reliable computational algorithms • A large number of examples and graphical illustrations are given • Written by prominent specialists in the field
Download or read book Perturbation theory for linear operators written by Tosio Kato and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perturbation Bounds for Matrix Eigenvalues written by Rajendra Bhatia and published by SIAM. This book was released on 2007-07-19 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the SIAM Classics edition, the author has added over 60 pages of material covering recent results and discussing the important advances made in the last two decades. It is an excellent research reference for all those interested in operator theory, linear algebra, and numerical analysis.
Download or read book Matrix Perturbation Theory in Structural Dynamics written by Suhuan Chen and published by . This book was released on 1993 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perturbation Methods in Matrix Analysis and Control written by Mihail M. Konstantinov and published by Nova Science Publishers. This book was released on 2020-04-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notation and preliminaries -- Perturbation problems -- Splitting operators and Lyapunov majorants -- Schur decomposition -- Hamiltonian matrices : basic relations -- Hamiltonian matrices : asymptotic analysis -- Hamiltonian matrices : non-local analysis -- Orthogonal canonical forms -- Feedback synthesis problem.
Download or read book The Matrix Perturbation Method in Quantum Mechanics written by Francisco Soto-Eguibar and published by Springer Nature. This book was released on 2024-02-20 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at m-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchmark examples and practical applications underscore the potential, accuracy and good performance of this novel approach. Moreover, the method's applicability extends to some specific time-dependent Hamiltonians. This book represents a valuable addition to the literature on perturbation theory in quantum mechanics and is accessible to students and researchers alike.
Download or read book Analytic Perturbation Theory for Matrices and Operators written by Baumgärtel and published by Springer. This book was released on 1985 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perturbation Bounds for Matrix Eigenvalues written by Rajendra Bhatia and published by SIAM. This book was released on 1987-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation Bounds for Matrix Eigenvalues contains a unified exposition of spectral variation inequalities for matrices. The text provides a complete and self-contained collection of bounds for the distance between the eigenvalues of two matrices, which could be arbitrary or restricted to special classes. The book emphasizes sharp estimates, general principles, elegant methods, and powerful techniques. For the SIAM Classics edition, the author has added over 60 pages of new material, which includes recent results and discusses the important advances made in the theory, results, and proof techniques of spectral variation problems in the two decades since the book's original publication. Audience: physicists, engineers, computer scientists, and mathematicians interested in operator theory, linear algebra, and numerical analysis. The text is also suitable for a graduate course in linear algebra or functional analysis.
Download or read book Algebraic Methods in Nonlinear Perturbation Theory written by V.N. Bogaevski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of interest to everybody working on perturbation theory in differential equations, this book requires only a standard mathematical background in engineering and does not require reference to the special literature. Topics covered include: matrix perturbation theory; systems of ordinary differential equations with small parameters; reconstruction and equations in partial derivatives. While boundary problems are not discussed, the book is clearly illustrated by numerous examples.
Download or read book Applications of T matrix Perturbation Theory written by An-hua Lu and published by . This book was released on 1969 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic Perturbation Theory for Matrices and Operators written by H. Baumgärtel and published by Walter de Gruyter GmbH & Co KG. This book was released on 1984-12-31 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Analytic Perturbation Theory for Matrices and Operators".
Download or read book Perturbation Theory of Eigenvalue Problems written by Franz Rellich and published by CRC Press. This book was released on 1969 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrix Theory written by David W. Lewis and published by World Scientific. This book was released on 1991 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to matrix theory and aims to provide a clear and concise exposition of the basic ideas, results and techniques in the subject. Complete proofs are given, and no knowledge beyond high school mathematics is necessary. The book includes many examples, applications and exercises for the reader, so that it can used both by students interested in theory and those who are mainly interested in learning the techniques.
Download or read book Matrix Perturbation Theory as Applied to the Classical and Generalized Eigenvalue Problems written by Gina E. Miner and published by . This book was released on 1989 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: " ... a survey of perturbation bounds on several quantities of interest in matrix eigenanalysis ... In addition ... a software facility for analyzing perturbations has been developed using MATLAB, [which facility] is described."--Abstract.
Download or read book Matrix Theory written by Joel N. Franklin and published by Courier Corporation. This book was released on 2012-07-31 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.
Download or read book The k p Method written by Lok C. Lew Yan Voon and published by Springer Science & Business Media. This book was released on 2009-06-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: I ?rst heard of k·p in a course on semiconductor physics taught by my thesis adviser William Paul at Harvard in the fall of 1956. He presented the k·p Hamiltonian as a semiempirical theoretical tool which had become rather useful for the interpre- tion of the cyclotron resonance experiments, as reported by Dresselhaus, Kip and Kittel. This perturbation technique had already been succinctly discussed by Sho- ley in a now almost forgotten 1950 Physical Review publication. In 1958 Harvey Brooks, who had returned to Harvard as Dean of the Division of Engineering and Applied Physics in which I was enrolled, gave a lecture on the capabilities of the k·p technique to predict and ?t non-parabolicities of band extrema in semiconductors. He had just visited the General Electric Labs in Schenectady and had discussed with Evan Kane the latter’s recent work on the non-parabolicity of band extrema in semiconductors, in particular InSb. I was very impressed by Dean Brooks’s talk as an application of quantum mechanics to current real world problems. During my thesis work I had performed a number of optical measurements which were asking for theoretical interpretation, among them the dependence of effective masses of semiconductors on temperature and carrier concentration. Although my theoretical ability was rather limited, with the help of Paul and Brooks I was able to realize the capabilities of the k·p method for interpreting my data in a simple way.
