@misc{Kocsor_András_Inequality-based, author={Kocsor, András and Dombi, József and Bálint, Imre}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, 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.}, abstract={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.}, type={artykuł}, title={Inequality-based approximation of matrix eigenvectors}, keywords={eigenvectors, eigenvalues, inequalities, error bounds, iterative methods}, }