JOONGBU UNIVERSITY LIBRARY

Contents Info

Randomized Numerical Linear Algebra Approaches for Approximating Matrix Functions- [electronic resource]

Title/Author: Randomized Numerical Linear Algebra Approaches for Approximating Matrix Functions - [electronic resource]

General Note: Source: Dissertations Abstracts International, Volume: 85-01, Section: B.

Restrictions on Access Note: This item must not be sold to any third party vendors.

Abstracts/Etc: 요약This work explores how randomization can be exploited to deliver sophisticated algorithms with provable bounds for: (i) The approximation of matrix functions, such as the log-determinant and the Von-Neumann entropy; and (ii) The low-rank approximation of matrices. Our algorithms are inspired by recent advances in Randomized Numerical Linear Algebra (RandNLA), an interdisciplinary research area that exploits randomization as a computational resource to develop improved algorithms for large-scale linear algebra problems. The main goal of this work is to encourage the practical use of RandNLA approaches to solve Big Data bottlenecks at industrial level. Our extensive evaluation tests are complemented by a thorough theoretical analysis that proves the accuracy of the proposed algorithms and highlights their scalability as the volume of data increases. Finally, the low computational time and memory consumption, combined with simple implementation schemes that can easily be extended in parallel and distributed environments, render our algorithms suitable for use in the development of highly efficient real-world software.

Material
Reg No.	Call No.	Location	Status	Lend Info
TQ0027305	T	원문자료	열람가능/출력가능	열람가능/출력가능 마이폴더 부재도서신고

* Reservations are available in the borrowing book. To make reservations, Please click the reservation button

본문