Perturbation Theory for Matrix Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Perturbation Theory for Matrix Equations write by M. Konstantinov. This book was released on 2003-05-20. Perturbation Theory for Matrix Equations available in PDF, EPUB and Kindle. 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
Perturbation theory for linear operators
Perturbation theory for linear operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Perturbation theory for linear operators write by Tosio Kato. This book was released on 2013-06-29. Perturbation theory for linear operators available in PDF, EPUB and Kindle.
Matrix Perturbation Theory
Matrix Perturbation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Matrix Perturbation Theory write by G. W. Stewart. This book was released on 1990-06-28. Matrix Perturbation Theory available in PDF, EPUB and Kindle. 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.
Algebraic Methods in Nonlinear Perturbation Theory
Algebraic Methods in Nonlinear Perturbation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Methods in Nonlinear Perturbation Theory write by V.N. Bogaevski. This book was released on 2012-12-06. Algebraic Methods in Nonlinear Perturbation Theory available in PDF, EPUB and Kindle. 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.
Perturbation Bounds for Matrix Eigenvalues
Perturbation Bounds for Matrix Eigenvalues - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Perturbation Bounds for Matrix Eigenvalues write by Rajendra Bhatia. This book was released on 1987-01-01. Perturbation Bounds for Matrix Eigenvalues available in PDF, EPUB and Kindle. 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.
