Would somebody more knowledge of this topic have a look at gersgorin-sets tag-info. For example, shouldn't it say Pupkov-Solovev instead of Pupkov-Solov?
I was going through a proof in some integrable systems lecture notes about the relationship between lax pairs and zero curvature. The proof starts as follows:
Let $ Lf = \lambda f $, where $ L $ is a self-adjoint linear operator, $ \lambda (t)<0 $ is a simple eigenvalue, and $ f(x,t) $ is a func...
$(AB-I) \text{ is a projection}
\Rightarrow (AB-I)^2=AB-I \Rightarrow AB.AB-AB-AB+I=AB-I\\
AB^2A-3AB-3I=0\\
(BA-I)^2= BA^2B-2BA+I$
they are complex matrices. please help
I approached the problem by projecting $f(x)$ onto each of the other functions (since they are an orthonormal basis) using the formula $$\langle f(x),\sin2x\rangle \sin2x + \langle f(x),\cos2x\rangle \cos2x.$$
Before I go through the computations, I wanted to make sure this is the correct approa...
The tag seems to be non-descriptive in the current state - it has empty tag-info, the word projection can be used in various meanings (linear algebra, equivalence relations, cartesian products). https://en.wikipedia.org/wiki/Projection_(mathematics)
I suggest to remove (or even blacklist) the projection tag. The problem with this tag is that the word projection is used in many various meanings in mathematics.
There is projection map in geometry and in linear algebra. In linear algebra we also have projection matrix. The term projection is ...
When looking for similar tags, I found also map-projections. The tag name is a bit more specific, but it still seems to be a problematic tag.
I suggest to remove (or even blacklist) the projection tag. The problem with this tag is that the word projection is used in many various meanings in mathematics.
There is projection map in geometry and in linear algebra. In linear algebra we also have projection matrix. The term projection is ...
