Timeline for Is there a method to solve a non-linear quadratic matrix equation?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 23, 2020 at 16:30 | comment | added | Martin Seysen | Diagonalizing $A$ and $B$ simultaneously, on obtains an equation $(\sum a_i y_i^2)^2 = \sum(b_i y_i^2)$ for real numbers $a_i, b_i$, and a vector $y=(y_1,\ldots,y_q)=Lx$, where $L$ is a real $q \times q$ matrix. Substituting $z_i=y_i^2$ one obtains a considerably simpler equation. | |
| Oct 23, 2020 at 13:25 | comment | added | Federico Poloni | If I am not mistaken, you can always find solutions by taking an arbitrary vector $v$ and rescaling it suitably. | |
| Oct 23, 2020 at 13:19 | review | First posts | |||
| Oct 23, 2020 at 14:04 | |||||
| Oct 23, 2020 at 13:15 | history | asked | Alison | CC BY-SA 4.0 |