eBook - PDF
The Toda Lattice and Universality for the Computation of the Eigenvalues of a Random Matrix
- 174 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
The Toda Lattice and Universality for the Computation of the Eigenvalues of a Random Matrix
About this book
Written by leaders in the field, this text showcases some of the remarkable properties of the finite Toda lattice and applies this theory to establish universality for the associated Toda eigenvalue algorithm for random Hermitian matrices. The authors expand on a 2019 course at the Courant Institute to provide a comprehensive introduction to the area, including previously unpublished results. They begin with a brief overview of Hamiltonian mechanics and symplectic manifolds, then derive the action-angle variables for the Toda lattice on symmetric matrices. This text is one of the first to feature a new perspective on the Toda lattice that does not use the Hamiltonian structure to analyze its dynamics. Finally, portions of the above theory are combined with random matrix theory to establish universality for the runtime of the associated Toda algorithm for eigenvalue computation.
Trusted by 375,005 students
Access to over 1.5 million titles for a fair monthly price.
Study more efficiently using our study tools.
Information
Subtopic
Mathematics GeneralIndex
MathematicsTable of contents
- Cover
- Series page
- Title page
- Copyright page
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Hamiltonian Mechanics and Integrable Systems
- 3 The Toda Lattice
- 4 Toda without Hamiltonian Structure
- 5 Random Matrix Ensembles
- 6 Universality for the Toda Algorithm
- References
- Notations and Abbreviations
- Index
Frequently asked questions
Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn how to download books offline
Perlego offers two plans: Essential and Complete
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.5M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1.5 million books across 990+ topics, we’ve got you covered! Learn about our mission
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more about Read Aloud
Yes! You can use the Perlego app on both iOS and Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Yes, you can access The Toda Lattice and Universality for the Computation of the Eigenvalues of a Random Matrix by Percy Deift,Guillaume Dubach,Carlos Tomei,Thomas Trogdon in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over 1.5 million books available in our catalogue for you to explore.