Inverses and eigenvalues of diamondalternating sign matrices
An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived. The eigenvalues of diamond ASMs are considered and when n is ev...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2014-02-01
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| Series: | Special Matrices |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/spma-2014-0008 |
| Summary: | An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived. The eigenvalues of diamond ASMs are considered and when n is even, thecharacteristic polynomial, which involves signed binomial coefficients, is determined. |
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| ISSN: | 2300-7451 |