Timeline for Complex Inner Product and Orthogonalization
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 3, 2019 at 19:47 | comment | added | user64494 | Upgrade your math. BTW, Maple produces answer to the original question with $w=(-1)^{\frac 1 4}$ in approximately 400 seconds. | |
| Feb 3, 2019 at 19:36 | comment | added | Roman |
@user64494 you're correct about the mathematical definitions (wiki link); however this is not how it's implemented in Mathematica. When I define F = Integrate[#1*ComplexExpand[Conjugate[#2]], {x, -Pi, Pi}] & to make the inner-product function linear in the first argument, as initially proposed, then the result is incorrect in the sense that F[S[[1]], S[[2]]] does not give zero.
|
|
| Feb 3, 2019 at 19:03 | comment | added | Izzy Putterman | Seem to work, thanks! | |
| Feb 3, 2019 at 19:03 | vote | accept | Izzy Putterman | ||
| Feb 3, 2019 at 18:56 | comment | added | user64494 | Look in en.wikipedia.org/wiki/Inner_product_space concerning linearity in the second argument. This property is not required. | |
| Feb 3, 2019 at 18:49 | comment | added | user64494 | There is an example u = Orthogonalize[RandomComplex[1 + I, {4, 4}]] in the help. | |
| Feb 3, 2019 at 18:40 | history | edited | Roman | CC BY-SA 4.0 |
added 323 characters in body
|
| Feb 3, 2019 at 17:43 | history | answered | Roman | CC BY-SA 4.0 |