Timeline for Transformations preserving the number of distinct eigenvalues

11 events

when toggle format	what		by	license	comment
Nov 13, 2019 at 21:41	history	edited	Ludwig	CC BY-SA 4.0	added 12 characters in body
Nov 13, 2019 at 18:11	history	edited	Ludwig	CC BY-SA 4.0	I rewrote the entire question in order to improve clarity
Nov 13, 2019 at 16:38	history	edited	Ludwig	CC BY-SA 4.0	added 66 characters in body
Nov 13, 2019 at 6:55	history	edited	Ludwig	CC BY-SA 4.0	added 5 characters in body
Nov 13, 2019 at 6:32	comment	added	Ludwig		@ChristianRemling yes it is not symmetric (there was a typo). However $g(A,t)$ is similar to a symmetric matrix.
Nov 13, 2019 at 6:26	history	edited	Ludwig	CC BY-SA 4.0	added 5 characters in body
Nov 12, 2019 at 23:52	comment	added	Christian Remling		I don't think $g(A,t)$ is still symmetric.
Nov 12, 2019 at 21:42	comment	added	Ludwig		@IlyaBogdanov: yes thanks! I fixed the typo. I enumerate the eigenvalues in an increasing order: $\lambda_1$ is the smallest eigenvalue of $g(A,t)$. Basically, I wonder whether there are no crossings between the eigenvalues.
Nov 12, 2019 at 21:39	history	edited	Ludwig	CC BY-SA 4.0	added 5 characters in body
Nov 12, 2019 at 20:58	comment	added	Ilya Bogdanov		1) Did you forget to take the inverse when defining $\Sigma(t)$? 2) How do you enumerate the eigenvalues? What is $\lambda_1$? Do you merely ask whether teo eigenvalues may become equal?
Nov 12, 2019 at 20:29	history	asked	Ludwig	CC BY-SA 4.0