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Jun
5
comment $Az + B\overline{z}$ as a linear operator
You're right, thanks for the hint. In the case you have purely imaginary values on the main diagonal of $A$ and $B=0$ (and thus 0s on the main diagonal), one probably want to sport a 2x2-block version of GE to get the same behavior.
Jun
5
comment $Az + B\overline{z}$ as a linear operator
Yes indeed, and while using Gaussian elimination for this matrix would certainly return the correct result, you'd have to perform more work that for a specialized variant of GE for the complex-valued form of the original post.
Jun
5
comment $Az + B\overline{z}$ as a linear operator
For example, yes.
Jun
5
comment $Az + B\overline{z}$ as a linear operator
Thanks for the comment. I've adapted the question to better reflect what I'm actually after.
Nov
1
comment maximum length of a scaled vector in a triangle (simplex)
@xavierm02 Besides, I am looking for the maximum.
May
8
comment maximum length of a scaled vector in a triangle (simplex)
@xavierm02 You're right, but that doesn't change the fact that I'd have to check if the intersection point is on the line or not.
May
8
comment maximum length of a scaled vector in a triangle (simplex)
@xavierm02 Yes, but I'd have to check if the intersection of $x+t\vec{s}$ and the opposite edge is indeed inside the triangle. Sounds a bit if-then-elsey to me.