• FD-Method: the Exponential Rat...

Treffer: FD-Method: the Exponential Rate of Convergence: FD-method: the exponential rate of convergence

Title:
FD-Method: the Exponential Rate of Convergence: FD-method: the exponential rate of convergence
Authors:
V. L. Makarov
Source:
Journal of Mathematical Sciences. 104:1648-1653
Publisher Information:
Springer Science and Business Media LLC, 2001.
Publication Year:
2001
Subject Terms:
recurrent algorithm, operator equation, eigenvalue problem, 0101 mathematics, General theory of numerical analysis in abstract spaces, 01 natural sciences
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1573-8795
1072-3374
DOI:
10.1023/a:1011333314231
Access URL:
https://zbmath.org/1535942
https://doi.org/10.1023/a:1011333314231
https://link.springer.com/article/10.1023/A%3A1011333314231
Rights:
Springer Nature TDM
Accession Number:
edsair.doi.dedup.....e83d7aa7a890f54bf23771528bad6e7b
Database:
OpenAIRE

Weitere Informationen

In this article, we describe a functional -discrete method (FD-method) for solving operator equations and abstract eigenvalue problems. The algorithm of the method includes a recurrent solution of a sequence of problems with a fixed operator, which is ``simpler'' than the initial one, and a changing right-hand side. We prove that, with fairly general assumptions, the FD-method converges with the rate of a geometric progression, i.e., has exponential convergence rate.