Timeline for Relating the angle between two vectors to max and min eigenvalues
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 28, 2012 at 14:11 | comment | added | Brian Rushton | Although, I think we are applying the inverse of the matrix, so as we apply the matrix to the vector in (6) that is close to the bigger eigenvector, it gets shrunk in that direction and stretched in the other, making it twist a lot and apparently maximizing the angle. | |
| Dec 28, 2012 at 14:10 | comment | added | Brian Rushton | Equation 6 says that the vector whichs gets twisted the most is a weighted sum of the eigenvectors corresponding to the biggest eigenvalue and to the smallest. So, I was incorrect above; the vector that is 45 degrees between the two is not best; instead, you use a weighted sum (eq. 6) that is a little closer to the bigger eigenvector. | |
| Dec 28, 2012 at 8:54 | comment | added | Geraldine Bailey | Hi Brian. Your ideas are so helpful. Thanks very much. I was wondering if you noticed equation 6 also on page 4? Any idea where these equations come from or how they fit into the picture??? Thanks again for your response! | |
| Dec 26, 2012 at 4:28 | history | edited | Brian Rushton | CC BY-SA 3.0 |
Expanded
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| Dec 26, 2012 at 4:14 | history | edited | Brian Rushton | CC BY-SA 3.0 |
Changed problem explanation.
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| Dec 26, 2012 at 4:13 | history | undeleted | Brian Rushton | ||
| Dec 26, 2012 at 3:06 | history | deleted | Brian Rushton | ||
| Dec 26, 2012 at 1:47 | history | answered | Brian Rushton | CC BY-SA 3.0 |