Nico Schlömer
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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. Jun 5 revised $Az + B\overline{z}$ as a linear operator added 3 characters in body; edited tags Jun 4 revised $Az + B\overline{z}$ as a linear operator added 6 characters in body Jun 4 asked $Az + B\overline{z}$ as a linear operator May 24 awarded Informed May 9 awarded Autobiographer Dec 20 awarded Curious Dec 19 asked name, notation for “block inner product” $X^H Y$ Jan 22 awarded Critic Nov 28 accepted name of matrix of inner products $\langle f_i, f_j\rangle$ Nov 28 asked name of matrix of inner products $\langle f_i, f_j\rangle$ Nov 1 comment maximum length of a scaled vector in a triangle (simplex) @xavierm02 Besides, I am looking for the maximum. Nov 1 accepted Formal notation for a required statement 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. May 8 asked maximum length of a scaled vector in a triangle (simplex) Jul 30 revised Scalar product equals weighted sum of projection of the vectors onto the edges of a simplex small corrections