Creator:

Kocsor, András ; Dombi, József ; Bálint, Imre

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Inequality-based approximation of matrix eigenvectors

Group publication title:

AMCS, volume 12 (2002)

Subject and Keywords:

eigenvectors ; eigenvalues ; inequalities ; error bounds ; iterative methods

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2002

Resource Type:

artykuł

Pages:

533-538

Source:

AMCS, volume 12, number 4 (2002) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego