Download Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18) PDF Free - Full Version
Download Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18) by Olavi Nevanlinna in PDF format completely FREE. No registration required, no payment needed. Get instant access to this valuable resource on PDFdrive.to!
About Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18)
This volume describes for the first time in monograph form important applications in numerical methods of linear algebra. The author presents new material and extended results from recent papers in a very readable style. The main goal of the book is to study the behavior of the resolvent of a matrix under the perturbation by low rank matrices. Whereas the eigenvalues (the poles of the resolvent) and the pseudospectra (the sets where the resolvent takes large values) can move dramatically under such perturbations, the growth of the resolvent as a matrix-valued meromorphic function remains essentially unchanged. This has practical implications to the analysis of iterative solvers for large systems of linear algebraic equations. First, the book introduces the basics of value distribution theory of meromorphic scalar functions. It then introduces a new nonlinear tool for linear algebra, the total logarithmic size of a matrix, which allows for a nontrivial generalization of Rolf Nevanlinna's characteristic function from the scalar theory to matrix- and operator-valued functions. In particular, the theory of perturbations by low rank matrices becomes possible. As an example, if the spectrum of a normal matrix collapses under a low rank perturbation, there is always a compensation in terms of the loss of orthogonality of the eigenvectors. This qualitative phenomenon is made quantitative by using the new tool. Applications are given to rational approximation, to the Kreiss matrix theorem, and to convergence of Krylov solvers. The book is intended for researchers in mathematics in general and especially for those working in numerical linear algebra. Much of the book is understandable if the reader has a good background in linear algebra and a first course in complex analysis.
Detailed Information
| Author: | Olavi Nevanlinna |
|---|---|
| Publication Year: | 2003 |
| ISBN: | 9780821832479 |
| Pages: | 147 |
| Language: | English |
| File Size: | 7.678 |
| Format: | |
| Price: | FREE |
Safe & Secure Download - No registration required
Why Choose PDFdrive for Your Free Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18) Download?
- 100% Free: No hidden fees or subscriptions required for one book every day.
- No Registration: Immediate access is available without creating accounts for one book every day.
- Safe and Secure: Clean downloads without malware or viruses
- Multiple Formats: PDF, MOBI, Mpub,... optimized for all devices
- Educational Resource: Supporting knowledge sharing and learning
Frequently Asked Questions
Is it really free to download Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18) PDF?
Yes, on https://PDFdrive.to you can download Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18) by Olavi Nevanlinna completely free. We don't require any payment, subscription, or registration to access this PDF file. For 3 books every day.
How can I read Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18) on my mobile device?
After downloading Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18) PDF, you can open it with any PDF reader app on your phone or tablet. We recommend using Adobe Acrobat Reader, Apple Books, or Google Play Books for the best reading experience.
Is this the full version of Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18)?
Yes, this is the complete PDF version of Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18) by Olavi Nevanlinna. You will be able to read the entire content as in the printed version without missing any pages.
Is it legal to download Meromorphic Functions and Linear Algebra (Fields Institute Monographs, 18) PDF for free?
https://PDFdrive.to provides links to free educational resources available online. We do not store any files on our servers. Please be aware of copyright laws in your country before downloading.
The materials shared are intended for research, educational, and personal use in accordance with fair use principles.
