Timeline for Triangularizing a matrix with function entries
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 14, 2012 at 18:05 | comment | added | Uday | I will check this. Thanks a million! | |
| May 14, 2012 at 17:44 | comment | added | Igor Rivin | I was quoting from memory -- that part does introduce the Dunford integral, which is the main technical tool, but the uses for perturbation purposes are actually in chapter 2, sections 5,6 | |
| May 14, 2012 at 16:16 | comment | added | Uday | Pardon me if I could not get this from the book. But, from what I have made out he discusses Jordan form only on page 42. The discussion there seemed like only for the case of complex numbers and not function entries. Feel free to correct me. Thank you, once again. | |
| May 14, 2012 at 16:05 | comment | added | Igor Rivin | He DOES talk a lot about the Jordan canonical form (he decomposes the matrix into the diagonal and nilpotent parts), which is even better than triangular (since you seem to be happy with complex numbers, over the reals obviously things are different...) | |
| May 14, 2012 at 15:46 | comment | added | Uday | Thanks! I actually checked it. He does not talk about triangularizbility as such. He discusses eigenvalue of the operator valued functions and their singularities. Is it a straightforward to go from this analysis to actually converting the given matrix to triangular form? | |
| May 14, 2012 at 14:49 | history | answered | Igor Rivin | CC BY-SA 3.0 |