Timeline for Solving a quadratic matrix equation with fat matrix
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| May 13, 2018 at 8:31 | comment | added | Pietro Majer | Note that no requirement $n<m$ was made in the original question (to whom down-voted) | |
| May 26, 2014 at 10:51 | comment | added | Pietro Majer | Of course, such $U$ only exist if $n\ge m$. | |
| May 26, 2014 at 10:36 | comment | added | jaraujo | Hi Pietro. I tried to investigate on how to find $U$ such that $U^T U = I$, when $U$ is $n \times m$ with $m > n$ but that is impossible no? For it to be possible you must have that $n > m$ which is not my case. Am I right? | |
| May 26, 2014 at 8:49 | comment | added | Pietro Majer | (I'm not addressing the case of positive semidefinite matrices as in the edited question) | |
| May 26, 2014 at 8:40 | comment | added | Pietro Majer | $U$ is any matrix whose columns are orthonormal. | |
| May 26, 2014 at 8:12 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| May 26, 2014 at 8:00 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| May 26, 2014 at 7:51 | comment | added | jaraujo | Hi Pietro. Thanks for your answer. But how do you find the matrix $U$ which is $n \times m$, that solves $U^T U = I$? | |
| May 26, 2014 at 7:45 | history | answered | Pietro Majer | CC BY-SA 3.0 |