Timeline for Unique solution to a matrix equations
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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Aug 14, 2016 at 15:37 | comment | added | Mark L. Stone | Letting M be a 1 by 2 matrix, such as [1 2], is sufficient to get an $\infty$ of solutions A, in accordance with comment ot the question by @Igor Khavkine . | |
Aug 14, 2016 at 15:20 | history | edited | Mark L. Stone | CC BY-SA 3.0 |
Improved readability of results. No sunstantivre change.
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Aug 14, 2016 at 15:16 | comment | added | Mark L. Stone | Here is the solution which maximizes trace(A) subject to the 2-norm of A being <= 100. A=[17.5 -33 16.5;-33 67 -33;16.5 -33 17.5]. I just "made up" this criterion, just as a way of selecting another of the $\infty$ of solution. I found this as a solution of a senidefinite optimization problem. | |
Aug 14, 2016 at 15:10 | comment | added | Mark L. Stone | It's s solution to an underdetermined set of linear equations. There are an $\infty$ number of solutions A with this M. | |
Aug 14, 2016 at 15:07 | history | edited | Mark L. Stone | CC BY-SA 3.0 |
added 31 characters in body
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Aug 14, 2016 at 15:07 | comment | added | Ulderique Demoitre | Thanks, and how have you found $A$? Is there a general result that allows to find the solutions? | |
Aug 14, 2016 at 15:05 | history | answered | Mark L. Stone | CC BY-SA 3.0 |