Timeline for is there any relationship between the eigenvector of sum(AA'+BB') and sum(A'A+B'B) ?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 21, 2012 at 4:44 | comment | added | David liu | SORRY FOR come back later.... A is real matrix. sum(AA′+BB′) means AA′+BB′ and that A′ means the transpose of A. thanks | |
| Dec 20, 2012 at 20:27 | comment | added | Betrand | I guess $A′$ means the transpose. Steven shows the eigenvectors are generally different. However, there is an interesting relation between the eigenvalues, under a mild assumption. See Corollary 2.2. of Lin & Wolkowicz, An eigenvalue majorization inequality for positive semidefinite block matrices, Linear Multilinear Algebra, 60 (2012), 1365-1368. | |
| Dec 20, 2012 at 18:59 | answer | added | Steven Landsburg | timeline score: 2 | |
| Dec 20, 2012 at 15:37 | answer | added | Steven Landsburg | timeline score: 0 | |
| Dec 20, 2012 at 12:15 | comment | added | Dima Pasechnik | and what does $A'$ mean? The transpose? The Hermitian transpose? | |
| Dec 20, 2012 at 11:59 | comment | added | Suvrit | what does the 'sum' notation mean? | |
| Dec 20, 2012 at 11:57 | history | asked | David liu | CC BY-SA 3.0 |