8 resultados para Matrix function

em Bulgarian Digital Mathematics Library at IMI-BAS


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In this paper we give an iterative method to compute the principal n-th root and the principal inverse n-th root of a given matrix. As we shall show this method is locally convergent. This method is analyzed and its numerical stability is investigated.

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* Work is partially supported by the Lithuanian State Science and Studies Foundation.

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* Work is partially supported by the Lithuanian State Science and Studies Foundation.

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* Work supported by the Lithuanian State Science and Studies Foundation.

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MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthday

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2000 Mathematics Subject Classification: 33C90, 62E99.

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A rough set approach for attribute reduction is an important research subject in data mining and machine learning. However, most attribute reduction methods are performed on a complete decision system table. In this paper, we propose methods for attribute reduction in static incomplete decision systems and dynamic incomplete decision systems with dynamically-increasing and decreasing conditional attributes. Our methods use generalized discernibility matrix and function in tolerance-based rough sets.

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2000 Mathematics Subject Classification: 35P25, 81U20, 35S30, 47A10, 35B38.