Timeline for How to generate the 8^th order symmetric binary matrices whose sum of absolute eigenvalues is 8?
Current License: CC BY-SA 4.0
4 events
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| Apr 4, 2021 at 15:12 | comment | added | Daniel Lichtblau | What this means is that there will be more than 2^28 such matrices. That's a big search space, though perhaps viable. | |
| Apr 4, 2021 at 10:03 | comment | added | SPJ | We need to find the sum after finding the absolute value of each eigenvalue, not the direct sum of eigenvalues. In this case it is not the trace. Example: For the matrix {{0, 1, 0}, {1, 1, 1}, {0, 1, 0}} its eigenvalues are 2 and -1, Here trace and sum of eigenvalues are 1. But sum of the absolute value of the eigenvalues is 3, which is same as the order of the matrix. We need to extract such matrices only. Is there any way to find such matrices only for n=8. | |
| Apr 4, 2021 at 9:11 | history | edited | Daniel Huber | CC BY-SA 4.0 |
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| Apr 4, 2021 at 8:02 | history | answered | Daniel Huber | CC BY-SA 4.0 |