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Paper details
Number 4 - December 2002
Volume 12 - 2002
Inequality-based approximation of matrix eigenvectors
András Kocsor, József Dombi, Imre Bálint
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.
Keywords
eigenvectors, eigenvalues, inequalities, error bounds, iterative methods