Questions tagged [matrices]
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
4 questions from the last 7 days
4
votes
1
answer
173
views
Question on power-nonnegative matrix
Let $P_1,P_2\in M_n(\mathbb R)$ be two orthogonal projections, i.e., $P_1^2=P_1=P_1', P_2^2=P_2=P_2'$ and assume that they are unitarily similar.
Let
$$
A=(P_1P_2)\circ(P_2P_1),
$$
where $\circ$ ...
- 857
1
vote
1
answer
241
views
Eigenvalues of analytic matrix families
Krešimir Veselić [[email protected]] asks:
Given the matrix family
$$ A(\varepsilon) = \begin{bmatrix} 0 & \Omega \\ −\Omega & −D-\varepsilon D′\end{bmatrix} $$
with $\Omega$...
- 47
1
vote
1
answer
227
views
Question on monotonicity of a norm-like function for matrices
Let $P_1,P_2$ be two real orthogonal projections on $\mathbb R^n$, and assume that they are permutation similar. More specifically, assume that each of them is permutation similar to a block diagonal ...
- 857
4
votes
1
answer
208
views
Non-increasing property of a norm-like function over matrices
Let $P,Q$ be two real orthogonal projections on $\mathbb R^n$, and assume that they are permutation similar. More specifically, assume that each of them is permutation similar to a block diagonal ...
- 857