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Inequality-based approximation of matrix eigenvectors

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Kocsor A., Dombi J., Bálint I.

International Journal of Applied Mathematics and Computer Science

2002

tom 12

nr 4

533-538

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Bálint I.

1 Dombi J.

1 Kocsor A.

1 2002

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Inequality-based approximation of matrix eigenvectors