Inequality-Based Approximation of Matrix Eigenvectors

• Autorzy: Kocsor A. , Dombi J. , Balint I.
• Języki publikacji: EN

Abstrakty

EN

A novel procedure is given here for constructing non-negative functions with zero-valued global minima coinciding with eigenvectors of a general real matrix A. Some of these functions are distinct because all their local minima are also global, offering a new way of determining eigenpairs by local optimization. Apart from describing the framework of the method, the error bounds given separately for the approximation of eigenvectors and eigenvalues provide a deeper insight into the fundamentally different nature of their approximations.

Słowa kluczowe

EN

eigenvectors; eigenvalues; inequalities; error bounds; iterative methods

PL

matematyka

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 4
• Strony: 533--538
• Opis fizyczny: Bibliogr.,rys., tab.

Twórcy

autor

Kocsor A.

autor

Dombi J.

autor

Balint I.

• Research Group on Artificial Intelligence, University of Szeged Szeged, Hungary, H-6720, Aradi vrt. 1,