Geodesic
Inequality-Based Approximation of Matrix Eigenvectors
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 4, pp. 533-538.

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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
Mots-clés : matematyka 
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     author = {Kocsor, A. and Dombi, J. and Balint, I.},
     title = {Inequality-Based {Approximation} of {Matrix} {Eigenvectors}},
     journal = {International Journal of Applied Mathematics and Computer Science},
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Kocsor, A.; Dombi, J.; Balint, I. Inequality-Based Approximation of Matrix Eigenvectors. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 4, pp. 533-538. http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_4_a6/