On the completion of a partial integral matrix to a unimodular matrix |
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Authors: | Maozhong Fang |
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Institution: | Department of Mathematics, East China Normal University, Shanghai 200062, China |
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Abstract: | We prove that if a partial integral matrix has a free diagonal then this matrix can be completed to a unimodular matrix. Such a condition is necessary in a general sense. Consequently if an n × n (n ? 2) partial integral matrix has 2n − 3 prescribed entries and any n entries of these do not constitute a row or a column then it can be completed to a unimodular matrix. This improves a recent result of Zhan. |
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Keywords: | 15A36 11C20 |
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