Timeline for Dominant eigenvalue of sum of tridiagonal and diagonal matrices
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 29, 2014 at 1:17 | comment | added | Daniel | @Suvrit I wonder if there is some more interesting property based on tridiagonality and nonnegativity of $A$ and diagonality of $B$ | |
| Apr 29, 2014 at 1:12 | history | edited | Daniel | CC BY-SA 3.0 |
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| Apr 29, 2014 at 1:09 | comment | added | Daniel | @ChristianRemling that is all I know: $A$ is tridiagonal, $B=\text{diag}(x_1,\dots,x_n),\ \sum_{1}^{n} x_i = R$. But any interesting inequality which contain x_i and eigenvalues of $A$ would be a great step for me too | |
| Apr 28, 2014 at 0:34 | comment | added | Suvrit | assuming a symmetric tridiagonal, isn't the majorization relation $\lambda(A+B)\prec \lambda(A)+\lambda(B)$ sufficient? | |
| Apr 27, 2014 at 23:38 | comment | added | Christian Remling | I'm not sure I understand the question completely, but the SUM of the diagonal entries certainly can't give anything (in general) on individual eigenvalues ($A=0$). | |
| Apr 27, 2014 at 23:37 | review | First posts | |||
| Apr 28, 2014 at 0:27 | |||||
| Apr 27, 2014 at 23:21 | history | asked | Daniel | CC BY-SA 3.0 |