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Volume 6, Issue 3, Article 63 |
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On Inverses of Triangular Matrices with Monotone Entries
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Authors: |
Kenneth S. Berenhaut, Preston T. Fletcher, |
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Keywords:
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Explicit bounds, Triangular matrix, Matrix inverse, Monotone entries, Off-diagonal decay, Recurrence relations. |
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Date Received:
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26/08/04 |
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Date Accepted:
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24/05/05 |
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Subject Codes: |
15A09, 39A10, 26A48.
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Editors: |
Chi-Kwong Li, |
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Abstract: |
This note employs recurrence techniques to obtain entry-wise optimal inequalities for inverses of triangular matrices whose entries satisfy some monotonicity constraints. The derived bounds are easily computable.
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